IMA Journal of Applied Mathematics Short Title: IMA J. Appl. Math. Publisher: Oxford University Press, Oxford ISSN: 0272-4960; 1464-3634/e Online: https://academic.oup.com/imamat/issue Predecessor: Journal of the Institute of Mathematics and its Applications Comments: Indexed cover-to-cover Documents Indexed: 1,692 Publications (since 1981) all top 5 Latest Issues 87, No. 1 (2022) 86, No. 5 (2021) 86, No. 4 (2021) 86, No. 3 (2021) 86, No. 2 (2021) 86, No. 1 (2021) 85, No. 6 (2020) 85, No. 5 (2020) 85, No. 4 (2020) 85, No. 3 (2020) 85, No. 2 (2020) 85, No. 1 (2020) 84, No. 6 (2019) 84, No. 5 (2019) 84, No. 4 (2019) 84, No. 3 (2019) 84, No. 2 (2019) 84, No. 1 (2019) 83, No. 6 (2018) 83, No. 5 (2018) 83, No. 4 (2018) 83, No. 3 (2018) 83, No. 2 (2018) 83, No. 1 (2018) 82, No. 6 (2017) 82, No. 5 (2017) 82, No. 4 (2017) 82, No. 3 (2017) 82, No. 2 (2017) 82, No. 1 (2017) 81, No. 6 (2016) 81, No. 5 (2016) 81, No. 4 (2016) 81, No. 3 (2016) 81, No. 2 (2016) 81, No. 1 (2016) 80, No. 6 (2015) 80, No. 5 (2015) 80, No. 4 (2015) 80, No. 3 (2015) 80, No. 2 (2015) 80, No. 1 (2015) 79, No. 6 (2014) 79, No. 5 (2014) 79, No. 4 (2014) 79, No. 3 (2014) 79, No. 2 (2014) 79, No. 1 (2014) 78, No. 6 (2013) 78, No. 5 (2013) 78, No. 4 (2013) 78, No. 3 (2013) 78, No. 2 (2013) 78, No. 1 (2013) 77, No. 6 (2012) 77, No. 5 (2012) 77, No. 4 (2012) 77, No. 3 (2012) 77, No. 2 (2012) 77, No. 1 (2012) 76, No. 6 (2011) 76, No. 5 (2011) 76, No. 4 (2011) 76, No. 3 (2011) 76, No. 2 (2011) 76, No. 1 (2011) 75, No. 6 (2010) 75, No. 5 (2010) 75, No. 4 (2010) 75, No. 3 (2010) 75, No. 2 (2010) 75, No. 1 (2010) 74, No. 6 (2009) 74, No. 5 (2009) 74, No. 4 (2009) 74, No. 3 (2009) 74, No. 2 (2009) 74, No. 1 (2009) 73, No. 6 (2008) 73, No. 5 (2008) 73, No. 4 (2008) 73, No. 3 (2008) 73, No. 2 (2008) 73, No. 1 (2008) 72, No. 6 (2007) 72, No. 5 (2007) 72, No. 4 (2007) 72, No. 3 (2007) 72, No. 2 (2007) 72, No. 1 (2007) 71, No. 6 (2006) 71, No. 5 (2006) 71, No. 4 (2006) 71, No. 3 (2006) 71, No. 2 (2006) 71, No. 1 (2006) 70, No. 6 (2005) 70, No. 5 (2005) 70, No. 4 (2005) 70, No. 3 (2005) ...and 116 more Volumes all top 5 Authors 19 Merkin, John H. 16 Hill, James Murray 14 Lacey, Andrew A. 13 King, John Robert 12 Champneys, Alan R. 12 Grundy, R. E. 10 Needham, David John 10 Papageorgiou, Demetrios T. 10 Wake, Graeme Charles 9 Bassom, Andrew P. 9 Liu, Fawang 9 Mulholland, Anthony J. 9 Sleeman, Brian David 9 Vanden-Broeck, Jean-Marc 8 Billingham, John 8 Craster, Richard V. 8 Crowdy, Darren Gregory 8 Johansson, B. Tomas 8 Jones, Douglas Samuel 8 Lesnic, Daniel 8 Pipkin, Allen C. 7 Atkinson, Colin 7 Cade, R. 7 Constanda, Christian 7 Decent, Stephen P. 7 Howe, Michael S. 7 Kriegsmann, Gregory A. 7 Leach, Jannie A. 7 Muñoz Rivera, Jaime Edilberto 7 Ogden, Raymond William 7 Please, Colin P. 7 Quintanilla de Latorre, RamĂłn 7 Scott, Nigel H. 7 Scott, Stephen K. 7 Willis, John Raymond 6 Abrahams, I. David 6 Adler, Jack 6 Blyth, Mark G. 6 Cimatti, Giovanni 6 Daniels, P. G. 6 Dassios, George 6 Fokas, Athanassios S. 6 Gol’dshtein, Vladimir Mikhailovich 6 Graham-Eagle, James 6 Jansons, Kalvis M. 6 Knobloch, Edgar 6 Leppington, Frank G. 6 McNabb, Alex 6 Ockendon, John R. 6 Pozrikidis, Constantine 6 Rajagopal, Kumbakonam Ramamani 6 Roberts, Anthony John 6 Schiavone, Peter 6 Sherratt, Jonathan A. 6 Smyth, Noel Frederick 6 Steigmann, David J. 5 Anh, Vo V. 5 Blake, John Robert 5 Chapman, Stephen Jonathan 5 Choi, Yung-Sze 5 Cox, Stephen Michael 5 Herbert, D. M. 5 Howison, Samuel Dexter 5 Kalliadasis, Serafim 5 Kaplunov, Julius D. 5 Lyalinov, Mikhail Anatolievich 5 McIntosh, Andy C. 5 McKee, Sean 5 O’Regan, Donal 5 Power, Henry 5 Smith, Warren R. 5 Talbot, D. R. S. 5 Turner, Ian William 5 Visintin, Augusto 5 Wang, Chang-Yi 5 Wang, Xu 5 Ward, Michael J. 4 Antipov, Yuri A. 4 Brindley, John 4 Budd, Christopher John 4 Bykov, Viatcheslav 4 Chudinovich, Igor Yuryevich 4 Edwards, David Alan 4 Fitt, Alistair D. 4 Fowler, Andrew C. 4 Goldfarb, Igor 4 Gottlieb, H. P. W. 4 Grindrod, Peter 4 Horgan, Cornelius Oliver 4 Ingham, Derek Binns 4 Kay, Anthony 4 Keady, Grant 4 King, Andrew C. 4 Lawrie, Jane B. 4 Liu, Hongyu 4 Maas, Ulrich 4 Marchant, Tim R. 4 McCue, Scott William 4 Motygin, Oleg Valer’evich 4 Muriel, ConcepciĂłn ...and 2,134 more Authors all top 5 Fields 757 Partial differential equations (35-XX) 559 Fluid mechanics (76-XX) 350 Mechanics of deformable solids (74-XX) 187 Biology and other natural sciences (92-XX) 160 Classical thermodynamics, heat transfer (80-XX) 148 Numerical analysis (65-XX) 145 Ordinary differential equations (34-XX) 141 Optics, electromagnetic theory (78-XX) 75 Dynamical systems and ergodic theory (37-XX) 69 Statistical mechanics, structure of matter (82-XX) 52 Integral equations (45-XX) 38 Systems theory; control (93-XX) 35 Probability theory and stochastic processes (60-XX) 34 Geophysics (86-XX) 30 Mechanics of particles and systems (70-XX) 29 Special functions (33-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 27 Operator theory (47-XX) 26 Functions of a complex variable (30-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Integral transforms, operational calculus (44-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Operations research, mathematical programming (90-XX) 15 Approximations and expansions (41-XX) 15 Quantum theory (81-XX) 14 Computer science (68-XX) 14 Information and communication theory, circuits (94-XX) 13 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Potential theory (31-XX) 10 Difference and functional equations (39-XX) 9 Real functions (26-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Combinatorics (05-XX) 6 Measure and integration (28-XX) 5 Functional analysis (46-XX) 5 Statistics (62-XX) 4 Astronomy and astrophysics (85-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,200 Publications have been cited 8,280 times in 7,301 Documents Cited by ▼ Year ▼ Nonlocal reaction-diffusion equations and nucleation. Zbl 0763.35051Rubinstein, Jacob; Sternberg, Peter 100 1992 Numerical studies of the Cahn-Hilliard equation for phase separation. Zbl 0632.65113Elliott, Charles M.; French, Donald A. 98 1987 Variational principles for inhomogeneous nonlinear media. Zbl 0588.73025Talbot, D. R. S.; Willis, J. R. 83 1985 The Cauchy problem for Laplace’s equation via the conjugate gradient method. Zbl 0967.35032Dinh Nho HĂ o; Lesnic, D. 71 2000 Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction. Zbl 1048.35123Weng, Peixuan; Huang, Huaxiong; Wu, Jianhong 71 2003 A variational method for identifying a spacewise-dependent heat source. Zbl 1135.65034Johansson, B. Tomas; Lesnic, Daniel 68 2007 The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073Shen, S.; Liu, Fawang; Anh, V.; Turner, I. 67 2008 Particle trajectories in extreme Stokes waves. Zbl 1250.35150Constantin, Adrian 63 2012 On the high Reynolds number theory of laminar flows. Zbl 0494.76042Smith, F. T. 59 1982 New methods for ordinary differential equations. Zbl 1065.34006Muriel, C.; Romero, J. L. 59 2001 Rates of decay to weak thermoelastic Bresse system. Zbl 1209.80005Fatori, Luci Harue; Muñoz Rivera, Jaime E. 58 2010 On Namias’s fractional Fourier transforms. Zbl 0644.44005McBride, A. C.; Kerr, F. H. 56 1987 The relaxed energy density for isotropic elastic membranes. Zbl 0644.73047Pipkin, Allen C. 55 1986 Theory of two-temperature generalized thermoelasticity. Zbl 1115.74019Youssef, H. M. 54 2006 Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model. Zbl 1267.35236Li, Xin; Jiang, Weihua; Shi, Junping 54 2013 Impulse, flow force and variational principles. Zbl 0584.76001Benjamin, T. Brooke 52 1984 On the weakly competitive case in a two-species chemotaxis model. Zbl 1404.35033Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 51 2016 The denseness of the far field patterns for the transmission problem. Zbl 0652.35104Kirsch, Andreas 45 1986 A new transform method for evolution partial differential equations. Zbl 1028.35009Fokas, A. S. 45 2002 On surface waves and deformations in a pre-stressed incompressible elastic solid. Zbl 0706.73018Dowaikh, M. A.; Ogden, R. W. 44 1990 Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 43 2015 Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method. Zbl 0936.35039Qu, Changzheng 41 1999 A transform method for linear evolution PDEs on a finite interval. Zbl 1084.35002Fokas, A. S.; Pelloni, B. 41 2005 High-order nonlinear diffusion. Zbl 0694.35091Smyth, N. F.; Hill, J. M. 40 1988 Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060Arrigo, D. J.; Hill, J. M.; Broadbridge, P. 40 1994 Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376Shi, Hong-Bo; Ruan, Shigui 39 2015 The dynamics of a conserved phase field system: Stefan-like, Hele-Shaw, and Cahn-Hilliard models as asymptotic limits. Zbl 0712.35114Caginalp, G. 38 1990 Total positivity and the stability of internal waves in stratified fluids of finite depth. Zbl 0723.76106Albert, J. P.; Bona, J. L. 38 1991 The existence of travelling plane waves in a general class of competition-diffusion systems. Zbl 0841.35050van Vuuren, Jan H. 38 1995 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086Colton, David; Sleeman, B. D. 37 1983 Stability and convergence of an implicit numerical method for the nonlinear fractional reaction-subdiffusion process. Zbl 1187.35271Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 37 2009 Regularization of parabolic equations backward in time by a non-local boundary value problem method. Zbl 1194.35501HĂ o, Dinh Nho; Duc, Nguyen Van; Lesnic, D. 36 2010 On an attraction-repulsion chemotaxis system with a logistic source. Zbl 1336.35338Li, Xie; Xiang, Zhaoyin 36 2016 Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays. Zbl 1316.34079Li, Xiaodi; O’Regan, Donal; Akca, Haydar 35 2015 Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059Johansson, Tomas; Sleeman, Brian D. 33 2007 Soliton interaction for the extended Korteweg-de Vries equation. Zbl 0857.35113Marchant, T. R.; Smyth, N. F. 31 1996 A cubic system with eight small-amplitude limit cycles. Zbl 0743.34037James, E. M.; Lloyd, N. G. 31 1991 Stefan problem with phase relaxation. Zbl 0585.35053Visintin, Augusto 31 1985 The Riemann problem for the pressureless Euler system with the Coulomb-like friction term. Zbl 1336.35281Shen, Chun 31 2016 Relaxed energy densities for large deformations of membranes. Zbl 0801.73040Pipkin, A. C. 30 1994 Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients. Zbl 1338.35444Zhao, Yonggang; Wang, Mingxin 30 2016 Razumikhin-type theorems on exponential stability of impulsive delay systems. Zbl 1128.34047Liu, Bin; Liu, Xinzhi; Teo, Kok Lay; Wang, Qing 29 2006 The Riesz basis property of a Timoshenko beam with boundary feedback and application. Zbl 1136.74343Xu, Gen-Qi; Feng, De-Xing 29 2002 On the far-field operator in elastic obstacle scattering. Zbl 1141.35429Alves, Carlos J. S.; Kress, Rainer 28 2002 Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate. Zbl 0923.76306Rees, D. A. S.; Pop, I. 27 1998 A Lobatto interpolation grid over the triangle. Zbl 1114.41001Blyth, M. G.; Pozrikidis, C. 27 2006 On boundary layers in fluid mechanics that decay algebraically along stretches of wall that are not vanishingly small. Zbl 0472.76045Kuiken, H. K. 27 1981 Stability in distribution of a three-species stochastic cascade predator-prey system with time delays. Zbl 1404.92158Liu, Meng; Fan, Meng 27 2017 The similarity method for difference equations. Zbl 0631.39003Maeda, Shigeru 26 1987 The formation of freckles in binary alloys. Zbl 0606.76110Fowler, A. C. 25 1985 Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling. Zbl 0911.92028Ruan, Shigui 25 1998 The mesa problem: diffusion patterns for \(u_ t=\nabla \cdot (u^ m\nabla u)\) as \(m\to +\infty\). Zbl 0655.35034Elliott, C. M.; Herrero, M. A.; King, J. R.; Ockendon, J. R. 25 1986 Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition. Zbl 0699.35151Lacey, A. A.; Tzanetis, D. 25 1988 Asymptotic behaviour of ground state solutions for the HĂ©non equation. Zbl 1169.35377Cao, Daomin; Peng, Shuangjie; Yan, Shusen 25 2009 Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008Antoine, Xavier 25 2001 Non-linear waves in lattices: past, present, future. Zbl 1230.37099Kevrekidis, P. G. 25 2011 On a viscoelastic plate equation with history setting and perturbation of \(p\)-Laplacian type. Zbl 1282.35372Jorge Silva, M. A.; Ma, T. F. 25 2013 A bound for the temperature in the thermistor problem. Zbl 0694.35139Cimatti, Giovanni 24 1988 PainlevĂ© analysis and the complete integrability of a generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 0719.35083Clarkson, Peter A. 24 1990 Primal-dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration. Zbl 1112.74047Kovtunenko, V. A. 24 2006 Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 24 2009 Poroelastic materials reinforced by statistically oriented fibres – numerical implementation and application to articular cartilage. Zbl 1299.74171Tomic, Aleksandar; Grillo, Alfio; Salvatore, Federico 24 2014 Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation. Zbl 0858.35062Sherratt, Jonathan A.; Marchant, Ben P. 24 1996 Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues. Zbl 1076.74024Lobo, Miguel; Nazarov, Serguei A.; Perez, Eugenia 24 2005 Constructive methods for factorization of matrix-functions. Zbl 1338.15035Rogosin, Sergei; Mishuris, Gennady 24 2016 The structure of overall constitutive relations for a class of nonlinear composites. Zbl 0695.73005Willis, J. R. 23 1989 Similarity solutions of a generalized Burgers equation. Zbl 0711.35117Doyle, J.; Englefield, M. J. 23 1990 Electromagnetic scattering by a homogeneous chiral obstacle in a chiral environment. Zbl 1064.78006Athanasiadis, Christodoulos; Costakis, George; Stratis, Ioannis G. 23 2000 The completed double layer boundary integral equation method for two- dimensional Stokes flow. Zbl 0797.76013Power, Henry 23 1993 Monotone wave-fronts in a structured population model with distributed maturation delay. Zbl 1086.92043Al-Omari, J. F. M.; Gourley, S. A. 23 2005 On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles. Zbl 1406.35368Pichler, Monika; Biondini, Gino 23 2017 A point source method for inverse acoustic and electromagnetic obstacle scattering problems. Zbl 0912.76083Potthast, Roland 22 1998 Soliton solutions of non-linear evolution equations. Zbl 0542.35079Freeman, N. C. 22 1984 A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 22 2014 Periodic waves with constant vorticity in water of infinite depth. Zbl 0860.76014Vanden-Broeck, J.-M. 22 1996 On a concept of derivative of complex order with applications of special functions. Zbl 0565.30034Campos, L. M. B. C. 22 1984 Numerical analysis of dynamic thermoviscoelastic contact with damage of a rod. Zbl 1171.74386Andrews, K. T.; Fernández, J. R.; Shillor, M. 22 2005 Inflation and bifurcation of thick-walled compressible elastic spherical shells. Zbl 0649.73021Haughton, D. M. 21 1987 The structure of the solution set for periodic oscillations in a suspension bridge model. Zbl 0756.73041Choi, Y. S.; Jen, K. C.; McKenna, P. J. 21 1991 Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013Markowich, Peter A.; Schmeiser, Christian 20 1986 Electroelastic waves in a finitely deformed electroactive material. Zbl 1202.74043Dorfmann, A.; Ogden, R. W. 20 2010 Global stability for penetrative convection with throughflow in a porous material. Zbl 1129.76022Hill, A. A.; Rionero, S.; Straughan, B. 20 2007 The application of PadĂ© approximants to Wiener-Hopf factorization. Zbl 0969.65120Abrahams, I. David 20 2000 Singular solutions for the shallow-water equations. Zbl 1257.35123Kalisch, Henrik; Mitrovic, Darko 20 2012 Transmission problem in thermoelasticity with symmetry. Zbl 1060.74019Marzocchi, Alfredo; Muñoz Rivera, Jaime E.; Naso, Maria Grazia 20 2003 On radiation conditions for rough surface scattering problems. Zbl 1100.35101Arens, Tilo; Hohage, Thorsten 20 2005 A multiscale model for pH-tactic invasion with time-varying carrying capacities. Zbl 1328.35254Stinner, Christian; Surulescu, Christina; Meral, GĂĽlnihal 20 2015 Reactive infiltration instabilities. Zbl 0619.76116Chadam, J.; Hoff, D.; Merino, E.; Ortoleva, P.; Sen, A. 19 1986 Stochastic ordinary differential equations in applied and computational mathematics. Zbl 1221.60099Higham, Desmond J. 19 2011 Macroscopic transport models for rarefied gas flows: a brief review. Zbl 1276.76074Struchtrup, Henning; Taheri, Peyman 19 2011 An improved unified gas-kinetic scheme and the study of shock structures. Zbl 1276.76063Xu, Kun; Huang, Juan-Chen 19 2011 Two-dimensional flexural-gravity waves of finite amplitude in deep water. Zbl 1282.76080Wang, Z.; Vanden-Broeck, J.-M.; Milewski, P. A. 19 2013 Spreading speeds and travelling waves in a delayed population model with stage structure on a 2D spatial lattice. Zbl 1155.35474Cheng, Cui-Ping; Li, Wan-Tong; Wang, Zhi-Cheng 19 2008 A variational method for wave scattering from penetrable rough layers. Zbl 1205.78024Lechleiter, Armin; Ritterbusch, Sebastian 19 2010 The dynamics of an SVIR epidemiological model with infection age. Zbl 1338.35429Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu 19 2016 Eigensolutions in boundary-layer flow adjacent to a stretching wall. Zbl 0619.76011Banks, W. H. H.; Zaturska, M. B. 18 1986 \(C^\infty\)-symmetries and non-solvable symmetry algebras. Zbl 1006.34032Muriel, C.; Romero, J. L. 18 2001 Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system. Zbl 1201.34132Yuan, Sanling; Song, Yongli 18 2009 Spatio-temporal patterns in a diffusive model with non-local delay effect. Zbl 1404.35036Guo, Shangjiang 18 2017 A model for an electropaint process. Zbl 0547.35048Aitchison, J. M.; Lacey, A. A.; Shillor, M. 17 1984 Steady states and pattern formation of the density-suppressed motility model. Zbl 1467.92042Wang, Zhi-An; Xu, Xin 3 2021 General rogue waves in the three-wave resonant interaction systems. Zbl 07383817Yang, Bo; Yang, Jianke 2 2021 An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems. Zbl 1470.86006Morupisi, Kgomotso S.; Budd, Chris 2 2021 On a subdiffusive tumour growth model with fractional time derivative. Zbl 1472.92080Fritz, Marvin; Kuttler, Christina; Rajendran, Mabel L.; Wohlmuth, Barbara; Scarabosio, Laura 2 2021 Reaction-subdiffusion systems and memory: spectra, Turing instability and decay estimates. Zbl 1471.35315Yang, Jichen; Rademacher, Jens D. M. 1 2021 Stability results on radial porous media and Hele-Shaw flows with variable viscosity between two moving interfaces. Zbl 1471.76033Gin, Craig; Daripa, Prabir 1 2021 Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background. Zbl 1471.76063Kow, Pu-Zhao; Wang, Jenn-Nan 1 2021 Longitudinal thermocapillary slip about a dilute periodic mattress of protruding bubbles. Zbl 1471.76079Yariv, Ehud; Kirk, Toby L. 1 2021 Localized patterns and semi-strong interaction, a unifying framework for reaction-diffusion systems. Zbl 1480.92092Al Saadi, Fahad; Champneys, Alan; Verschueren, Nicolas 1 2021 Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency. Zbl 1465.78004Xu, Xiaoxu; Zhang, Bo; Zhang, Haiwen 3 2020 Kuwabara-Kono numerical dissipation: a new method to simulate granular matter. Zbl 1433.74038James, Guillaume; Vorotnikov, Kirill; Brogliato, Bernard 2 2020 A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. Zbl 1433.74063Wootton, Peter T.; Kaplunov, Julius; Prikazchikov, Danila 2 2020 Fractional phase-field crystal modelling: analysis, approximation and pattern formation. Zbl 1443.74160Ainsworth, Mark; Mao, Zhiping 2 2020 Stable asymmetric spike equilibria for the Gierer-Meinhardt model with a precursor field. Zbl 1460.35014Kolokolnikov, Theodore; Paquin-Lefebvre, FrĂ©dĂ©ric; Ward, Michael J. 2 2020 Homogenization approximations for unidirectional transport past randomly distributed sinks. Zbl 1446.82073Russell, Matthew J.; Jensen, Oliver E. 1 2020 Non-Newtonian channel flow – exact solutions. Zbl 1447.76003Griffiths, P. T. 1 2020 A mathematical multi-organ model for bidirectional epithelial-mesenchymal transitions in the metastatic spread of cancer. Zbl 1457.92076Franssen, Linnea C.; Chaplain, Mark A. J. 1 2020 Shape optimization of stirring rods for mixing binary fluids. Zbl 1461.76151Eggl, Maximilian F.; Schmid, Peter J. 1 2020 Fast and spectrally accurate numerical methods for perforated screens (with applications to Robin boundary conditions). Zbl 1461.76399Colbrook, Matthew J.; Priddin, Matthew J. 1 2020 A mathematical model of asynchronous data flow in parallel computers. Zbl 1462.35423Barnard, Richard C.; Huang, Kai; Hauck, Cory 1 2020 Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows. Zbl 1462.35399Coti Zelati, Michele; Pavliotis, Grigorios A. 1 2020 Steady states of thin film droplets on chemically heterogeneous substrates. Zbl 1460.35025Liu, Weifan; Witelski, Thomas P. 1 2020 Free-stream coherent structures in the unsteady Rayleigh boundary layer. Zbl 1460.76295Johnstone, Eleanor C.; Hall, Philip 1 2020 Large time behaviour and synchronization of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type. Zbl 1472.35045Ambrosio, B.; Aziz-Alaoui, M. A.; Phan, V. L. E. 5 2019 Damped second order flow applied to image denoising. Zbl 1434.65163Baravdish, G.; Svensson, O.; Gulliksson, M.; Zhang, Y. 4 2019 Modelling crowd movements in domains with boundaries. Zbl 1427.91190Colombo, Rinaldo M.; Rossi, Elena 3 2019 Large-time dynamics in complex networks of reaction-diffusion systems applied to a panic model. Zbl 1427.35105Cantin, Guillaume; Aziz-Alaoui, M. A.; Verdière, Nathalie 3 2019 Game dynamic model of social distancing while cost of infection varies with epidemic burden. Zbl 1470.91040Bhattacharyya, Samit; Reluga, Timothy 3 2019 Manifold learning with bi-stochastic kernels. Zbl 1472.68148Marshall, Nicholas F.; Coifman, Ronald R. 2 2019 Analysis of a fractal ultrasonic transducer with a range of piezoelectric length scales. Zbl 1471.74040Algehyne, Ebrahem A.; Mulholland, Anthony J. 2 2019 Explicit inverse of tridiagonal matrix with applications in autoregressive modelling. Zbl 1469.65079Tan, Linda S. L. 2 2019 The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: the time delay cases. Zbl 1476.74067Almeida JĂşnior, D. S.; Elishakoff, I.; Ramos, A. J. A.; Miranda, L. G. Rosário 2 2019 Geometric quantization of localized surface plasmons. Zbl 07383811Schnitzer, Ory 2 2019 Analysis of random walks on a hexagonal lattice. Zbl 1432.60068Di Crescenzo, Antonio; Macci, Claudio; Martinucci, Barbara; Spina, Serena 1 2019 Asymptotics of the eigenmodes and stability of an elastic structure with general feedback matrix. Zbl 1427.93073Shubov, Marianna A.; Kindrat, Laszlo P. 1 2019 Two-dimensional Brinkman flows and their relation to analogous Stokes flows. Zbl 1431.35138Martin, P. A. 1 2019 Synchrony in networks of Franklin bells. Zbl 1429.34060Ĺžayli, Mustafa; Lai, Yi Ming; Thul, RĂĽdiger; Coombes, Stephen 1 2019 Maximal 3D printing extrusion rates. Zbl 1434.80007Edwards, D. A.; Mackay, M. E.; Swain, Z. R.; Banbury, C. R.; Phan, D. D. 1 2019 Existence and uniqueness of solutions of a general linear second-order hyperbolic problem. Zbl 1471.74023van Rensburg, N. F. J.; Stapelberg, B. 1 2019 Modulated amplitude waves with non-trivial phase of multi-component Bose-Einstein condensates in optical lattices. Zbl 07383783Liu, Qihuai; Torres, Pedro J.; Xing, Mingyan 1 2019 On a reaction-advection-diffusion equation with double free boundaries and \(m\) th-order Fisher non-linearity. Zbl 1471.35080Ren, Jingli; Zhu, Dandan 1 2019 Regularization of the semilinear sideways heat equation. Zbl 1471.80004Nguyen Huy Tuan; Lesnic, Daniel; Tran Quoc Viet; Vo Van Au 1 2019 Trapped modes of the Helmholtz equation in infinite waveguides with wall indentations and circular obstacles. Zbl 1471.76064Sargent, Cristina V.; Mestel, A. J. 1 2019 Diagnostics of wear thermoelastic instability based on sliding contact parameter monitoring. Zbl 1471.74058Zelentsov, V. B.; Mitrin, B. I.; Lubyagin, I. A.; Kudish, I. I. 1 2019 A numerical procedure and coupled system formulation for the adjoint approach in hyperbolic PDE-constrained optimization problems. Zbl 1473.49035Montecinos, Gino I.; LĂłpez-RĂos, Juan C.; Ortega, Jaime H.; Lecaros, Rodrigo 1 2019 An elastic harmonic inclusion near a rigid harmonic inclusion loaded by a couple. Zbl 1471.74022Wang, Xu; Chen, Liang; Schiavone, Peter 1 2019 Thermo-convective carbon sequestration in horizontal porous layers. Zbl 1471.76031Gautam, K.; Narayana, P. A. L.; Hill, A. A. 1 2019 Traveling wave solutions for the Richards equation with hysteresis. Zbl 1471.35077El Behi-Gornostaeva, E.; Mitra, K.; Schweizer, B. 1 2019 Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth. Zbl 1408.76109Gao, Tao; Vanden-Broeck, Jean-Marc; Wang, Zhan 8 2018 The global evolution of states of a continuum Kawasaki model with repulsion. Zbl 1404.82046BaraĹ„ska, Joanna; Kozitsky, Yuri 6 2018 An elastohydrodynamical simulation study of filament and spermatozoan swimming driven by internal couples. Zbl 1408.76627Ishimoto, Kenta; Gaffney, Eamonn A. 5 2018 Enhanced sedimentation of elongated plankton in simple flows. Zbl 1408.76622Clifton, W.; Bearon, R. N.; Bees, M. A. 4 2018 Exponential stability for a coupled system of damped-undamped plate equations. Zbl 1404.35046Denk, Robert; Kammerlander, Felix 4 2018 Bubble models and real bubbles: Rayleigh and energy-deposit cases in a Tait-compressible liquid. Zbl 1408.76522Lauterborn, Werner; Lechner, Christiane; Koch, Max; Mettin, Robert 3 2018 Analysis of an age-structured HIV infection model with logistic target-cell growth and antiretroviral therapy. Zbl 07383774Yan, Dongxue; Fu, Xianlong 3 2018 Using electric fields to induce patterning in leaky dielectric fluids in a rod-annular geometry. Zbl 1408.76589Wang, Qiming; Papageorgiou, Demetrios T. 2 2018 Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions. Zbl 1408.35014Lyalinov, Mikhail A. 2 2018 Instability in the self-similar motion of a planar solidification front. Zbl 1408.80004Brosa Planella, Ferran; Please, Colin P.; Van Gorder, Robert A. 2 2018 The vector derivative nonlinear Schrödinger equation on the half-line. Zbl 1406.35364Liu, Huan; Geng, Xianguo 2 2018 Leading-order Stokes flows near a corner. Zbl 1408.76177Dauparas, Justas; Lauga, Eric 2 2018 Surface shear horizontal waves in a double-layered nonlinear elastic half space. Zbl 1406.35349Deliktas, Ekin; Teymur, Mevlut 2 2018 On the formation of small-time curvature singularities in vortex sheets. Zbl 1408.76124Page, Michael A.; Cowley, Stephen J. 1 2018 Simulations of Brownian tracer transport in squirmer suspensions. Zbl 1404.82049Delmotte, Blaise; Keaveny, Eric E.; Climent, Eric; PlourabouĂ©, Franck 1 2018 Singularly perturbed profiles. Zbl 1408.80007Bykov, V.; Cherkinsky, Y.; Gol’dshtein, V.; Krapivnik, N.; Maas, U. 1 2018 Boundary conditions for macroscale waves in an elastic system with microscale heterogeneity. Zbl 1408.74046Chen, Chen; Roberts, A. J.; Bunder, J. E. 1 2018 Tree representations of streamline topologies of structurally stable 2D incompressible flows. Zbl 1404.37100Sakajo, Takashi; Yokoyama, Tomoo 1 2018 Laplace’s equation for a point source near a sphere: improved internal solution using spheroidal harmonics. Zbl 1481.78001Majić, Matt R. A.; AuguiĂ©, Baptiste; Le Ru, Eric C. 1 2018 Longitudinal shear flow over a bubble mattress with curved menisci: arbitrary protrusion angle and solid fraction. Zbl 1481.76060Luca, Elena; Marshall, Jonathan; Karamanis, Georgios 1 2018 A transform method for the biharmonic equation in multiply connected circular domains. Zbl 1481.35339Luca, Elena; Crowdy, Darren G. 1 2018 Torsional instability in a nonlinear isolated model for suspension bridges with fixed cables and extensible hangers. Zbl 07383773Falocchi, Alessio 1 2018 On the chordae structure and dynamic behaviour of the mitral valve. Zbl 07383775Feng, Liuyang; Qi, Nan; Gao, Hao; Sun, Wei; Vazquez, Mariano; Griffith, Boyce E.; Luo, Xiaoyu 1 2018 Stability in distribution of a three-species stochastic cascade predator-prey system with time delays. Zbl 1404.92158Liu, Meng; Fan, Meng 27 2017 On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles. Zbl 1406.35368Pichler, Monika; Biondini, Gino 23 2017 Spatio-temporal patterns in a diffusive model with non-local delay effect. Zbl 1404.35036Guo, Shangjiang 18 2017 Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control. Zbl 1406.35276Gomes, Susana N.; Papageorgiou, Demetrios T.; Pavliotis, Grigorios A. 12 2017 Recovering the potential term in a fractional diffusion equation. Zbl 1405.65112Zhang, Zhidong; Zhou, Zhi 10 2017 On the spectral analysis of residual stress in finite elasticity. Zbl 1408.74008Shariff, M. H. B. M.; Bustamante, R.; Merodio, J. 9 2017 Hölder stability of an inverse problem for a strongly coupled reaction-diffusion system. Zbl 1408.35223Wu, Bin; Yu, Jun 7 2017 A mixed variational formulation for a piezoelectric frictional contact problem. Zbl 1408.74042Matei, Andaluzia; Sofonea, Mircea 6 2017 A reaction-diffusion-advection competition model with two free boundaries in heterogeneous time-periodic environment. Zbl 1404.92146Chen, Qiaoling; Li, Fengquan; Wang, Feng 6 2017 Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution. Zbl 1404.35082Chugainova, Anna P.; Il’ichev, Andrey T.; Kulikovskii, Andrey G.; Shargatov, Vladimir A. 6 2017 Closed-form solution for a circular nano-inhomogeneity with interface effects in an elastic plane under uniform remote heat flux. Zbl 1408.74015Dai, Ming; Gao, Cun-Fa; Schiavone, Peter 5 2017 Finite difference methods of the spatial fractional Black-Scholes equation for a European call option. Zbl 1418.91607Zhao, Hui; Tian, Hongjiong 5 2017 Limit cycles bifurcating from discontinuous centres. Zbl 1404.37057de Carvalho Braga, Denis; Carvalho, Tiago; Mello, Luis Fernando 4 2017 A filtering based multi-innovation gradient estimation algorithm and performance analysis for nonlinear dynamical systems. Zbl 1480.93421Wang, Yanjiao; Ding, Feng 4 2017 An analytic solution for gust-aerofoil interaction noise including effects of geometry. Zbl 1408.76340Ayton, Lorna J. 3 2017 Radiating solitary waves in coupled Boussinesq equations. Zbl 1404.35089Grimshaw, R. H. J.; Khusnutdinova, K. R.; Moore, K. R. 3 2017 A new second-order midpoint approximation formula for Riemann-Liouville derivative: algorithm and its application. Zbl 1471.65019Ding, Hengfei; Li, Changpin; Yi, Qian 3 2017 Algorithm for spatio-temporal analysis of the signalling problem. Zbl 1404.35041Barlow, Nathaniel S.; Helenbrook, Brian T.; Weinstein, Steven J. 2 2017 Mathematical modelling of thrombin generation: asymptotic analysis and pathway characterization. Zbl 1404.92082Dunster, J. L.; King, J. R. 2 2017 An elementary proof of convergence to the mean-field equations for an epidemic model. Zbl 1401.60172Armbruster, Benjamin; Beck, Ekkehard 2 2017 Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence. Zbl 1404.92209Yang, Junyuan; Chen, Yuming; Kuniya, Toshikazu 2 2017 SVIR epidemic model with age structure in susceptibility, vaccination effects and relapse. Zbl 07383748Wang, Jinliang; Guo, Min; Liu, Shengqiang 2 2017 Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking. Zbl 07383750Li, Xiaofei; Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 2 2017 Schur complement domain decomposition methods for the solution of multiple scattering problems. Zbl 1480.65362Pedneault, Michael; Turc, Catalin; Boubendir, Yassine 2 2017 Mathematical modelling of contact Lens moulding. Zbl 1406.35292Murphy, Ellen A.; Lee, William T. 1 2017 Birth of limit cycles from a 3D triangular center of a piecewise smooth vector field. Zbl 1408.34018Carvalho, Tiago; EuzĂ©bio, Rodrigo D.; Teixeira, Marco Antonto; Tonon, Durval JosĂ© 1 2017 Shape of transition layers in a differential-delay equation. Zbl 1406.34086Wattis, Jonathan A. D. 1 2017 On the blow-up of some complex solutions of the 3D Navier-Stokes equations: theoretical predictions and computer simulations. Zbl 1404.35063Boldrighini, C.; Frigio, S.; Maponi, P. 1 2017 Solitary gravity waves and free surface flows past a point vortex. Zbl 1408.76108Doak, Alex; Vanden-Broeck, Jean-Marc 1 2017 ...and 1100 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,041 Authors 35 Liu, Fawang 31 Lesnic, Daniel 30 Fokas, Athanassios S. 29 Mu, Chunlai 28 Quintanilla de Latorre, RamĂłn 26 Li, Wan-Tong 26 Nazarov, SergeÄ Aleksandrovich 26 Zayed, Elsayed M. E. 24 Turner, Ian William 24 Wang, Zhi Cheng 24 Weng, Peixuan 24 Xu, Gen-Qi 23 Steigmann, David J. 22 Fernández, Jose Ramon 22 Ponte Castañeda, Pedro 21 Muriel, ConcepciĂłn 21 Qu, Changzheng 20 Ogden, Raymond William 20 O’Regan, Donal 19 Agarwal, Ravi P. 19 SlodiÄŤka, Marián 18 Bassom, Andrew P. 18 Hill, James Murray 18 Johansson, B. Tomas 18 Pop, Ioan 17 Abrahams, I. David 17 Colli, Pierluigi 17 Guo, Shangjiang 17 Krutitskii, Pavel A. 17 Merkin, John H. 17 Muñoz Rivera, Jaime Edilberto 17 Nguyen Huy Tuan 16 Fu, Chuli 16 King, John Robert 16 Liu, Hongyu 16 Miranville, Alain M. 16 Sherratt, Jonathan A. 16 Sun, Zhizhong 16 Yu, Zhixian 15 Athanasiadis, Christodoulos E. 15 Chen, Xinfu 15 Gao, David Yang 15 Hu, Guanghui 15 Kovtunenko, Viktor Anatolievich 15 Yin, Zhaoyang 14 Antoine, Xavier 14 Frigaard, Ian A. 14 Han, Zhongjie 14 Papageorgiou, Demetrios T. 14 Rogerson, Graham A. 14 Ruan, Shigui 14 Tarzia, Domingo Alberto 14 Witelski, Thomas P. 13 Broadbridge, Philip 13 Constanda, Christian 13 Djellouli, Rabia 13 Liu, Zhijun 13 Rajagopal, Kumbakonam Ramamani 13 Rionero, Salvatore 13 Srivastava, Hari Mohan 13 Tian, Bo 13 Wang, Mingxin 13 Wang, Xu 12 Anh, Vo V. 12 Barucq, HĂ©lène 12 Coman, Ciprian D. 12 Dassios, George 12 Dehghan Takht Fooladi, Mehdi 12 Il’ichev, AndreÄ TeÄmurazovich 12 Kress, Rainer 12 Lin, Guo 12 Lyalinov, Mikhail Anatolievich 12 McCue, Scott William 12 Murphy, Jeremiah G. 12 Okamoto, Hisashi 12 Vanden-Broeck, Jean-Marc 12 Wei, Ting 12 Yuan, Rong 11 Arrigo, Daniel J. 11 Cao, Jinde 11 Copetti, Maria InĂŞs M. 11 Crowdy, Darren Gregory 11 Han, Weimin 11 Leach, Jannie A. 11 Li, Xiaodi 11 Ma, Fuming 11 Marin, Liviu 11 Pop, Iuliu Sorin 11 Wei, Junjie 11 Xu, Rui 10 Blyth, Mark G. 10 Campo, Marco A. 10 Chudinovich, Igor Yuryevich 10 Destrade, Michel 10 Fan, Engui 10 Hall, Philip 10 Hayat, Tasawar 10 Hocking, Graeme Charles 10 Hsu, Cheng-Hsiung 10 Ji, Lina ...and 8,941 more Authors all top 5 Cited in 538 Journals 264 Journal of Mathematical Analysis and Applications 234 Applied Mathematics and Computation 225 Journal of Fluid Mechanics 162 Journal of Differential Equations 155 ZAMP. Zeitschrift fĂĽr angewandte Mathematik und Physik 153 Journal of Computational and Applied Mathematics 150 Journal of Engineering Mathematics 143 Journal of Computational Physics 124 Computers & Mathematics with Applications 116 Wave Motion 109 Nonlinear Analysis. Real World Applications 107 Applicable Analysis 102 Mathematical Methods in the Applied Sciences 101 Mathematics and Mechanics of Solids 99 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 97 Applied Mathematics Letters 97 Applied Mathematical Modelling 91 Physica D 87 Journal of the Mechanics and Physics of Solids 86 Journal of Mathematical Physics 81 Acta Mechanica 80 Computer Methods in Applied Mechanics and Engineering 79 International Journal of Engineering Science 74 Communications in Nonlinear Science and Numerical Simulation 72 Discrete and Continuous Dynamical Systems. Series B 69 European Journal of Applied Mathematics 69 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 62 Physics of Fluids 60 Applied Numerical Mathematics 60 SIAM Journal on Applied Mathematics 58 Engineering Analysis with Boundary Elements 57 Journal of Elasticity 55 Advances in Difference Equations 54 Studies in Applied Mathematics 52 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 50 Discrete and Continuous Dynamical Systems 49 Inverse Problems in Science and Engineering 49 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 46 Chaos, Solitons and Fractals 46 Nonlinear Dynamics 45 Mathematical and Computer Modelling 44 European Journal of Mechanics. B. Fluids 42 Archive for Rational Mechanics and Analysis 40 Journal of Scientific Computing 40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 40 Communications on Pure and Applied Analysis 39 Mathematical Problems in Engineering 39 Journal of Nonlinear Mathematical Physics 38 Quarterly of Applied Mathematics 38 Abstract and Applied Analysis 36 Bulletin of Mathematical Biology 36 Acta Applicandae Mathematicae 36 SIAM Journal on Mathematical Analysis 36 Boundary Value Problems 34 Journal of Mathematical Biology 33 Journal of Mathematical Sciences (New York) 32 Numerische Mathematik 31 Inverse Problems 31 European Journal of Mechanics. A. Solids 30 Meccanica 30 Numerical Algorithms 30 International Journal of Biomathematics 30 Nonlinear Analysis. Theory, Methods & Applications 28 International Journal of Computer Mathematics 28 The ANZIAM Journal 27 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 27 Journal of Dynamics and Differential Equations 27 Continuum Mechanics and Thermodynamics 26 Mathematics and Computers in Simulation 26 Journal of Inverse and Ill-Posed Problems 25 Advances in Mathematical Physics 25 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 24 Japan Journal of Industrial and Applied Mathematics 24 Inverse Problems and Imaging 24 Discrete and Continuous Dynamical Systems. Series S 23 Computers and Fluids 23 Journal of Integral Equations and Applications 23 Journal of Nonlinear Science 23 Journal of Mathematical Chemistry 22 Mathematical Biosciences and Engineering 21 Nonlinearity 21 Numerical Methods for Partial Differential Equations 21 Chaos 21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 20 Acta Mathematicae Applicatae Sinica. English Series 20 Computational Mechanics 20 Journal of Applied Mathematics and Computing 20 Journal of Theoretical Biology 20 AIMS Mathematics 19 Rocky Mountain Journal of Mathematics 19 Applied Mathematics and Mechanics. (English Edition) 18 Journal of the Franklin Institute 18 Mathematics of Computation 18 Applied Mathematics and Optimization 18 Communications in Partial Differential Equations 17 International Journal of Solids and Structures 17 SIAM Journal on Scientific Computing 17 Computational and Applied Mathematics 17 Integral Transforms and Special Functions 17 Discrete Dynamics in Nature and Society ...and 438 more Journals all top 5 Cited in 59 Fields 3,625 Partial differential equations (35-XX) 1,670 Fluid mechanics (76-XX) 1,490 Mechanics of deformable solids (74-XX) 1,282 Numerical analysis (65-XX) 985 Biology and other natural sciences (92-XX) 731 Ordinary differential equations (34-XX) 420 Dynamical systems and ergodic theory (37-XX) 396 Classical thermodynamics, heat transfer (80-XX) 360 Optics, electromagnetic theory (78-XX) 267 Systems theory; control (93-XX) 227 Operator theory (47-XX) 217 Integral equations (45-XX) 198 Calculus of variations and optimal control; optimization (49-XX) 180 Statistical mechanics, structure of matter (82-XX) 154 Probability theory and stochastic processes (60-XX) 107 Geophysics (86-XX) 105 Real functions (26-XX) 95 Special functions (33-XX) 92 Mechanics of particles and systems (70-XX) 83 Functions of a complex variable (30-XX) 80 Global analysis, analysis on manifolds (58-XX) 74 Difference and functional equations (39-XX) 63 Harmonic analysis on Euclidean spaces (42-XX) 61 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 60 Operations research, mathematical programming (90-XX) 54 Potential theory (31-XX) 53 Integral transforms, operational calculus (44-XX) 50 Quantum theory (81-XX) 48 Approximations and expansions (41-XX) 48 Functional analysis (46-XX) 41 Information and communication theory, circuits (94-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 32 Computer science (68-XX) 25 Differential geometry (53-XX) 18 History and biography (01-XX) 18 Statistics (62-XX) 14 Combinatorics (05-XX) 13 Number theory (11-XX) 12 Topological groups, Lie groups (22-XX) 11 Measure and integration (28-XX) 10 General and overarching topics; collections (00-XX) 9 Astronomy and astrophysics (85-XX) 8 Algebraic geometry (14-XX) 6 Nonassociative rings and algebras (17-XX) 5 Geometry (51-XX) 5 Manifolds and cell complexes (57-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Citations by Year