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: 1,656 Publications (since 1981) all top 5 Latest Issues 86, No. 3 (2021) 86, No. 2 (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, Spec. Iss. 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E. 10 Needham, David John 10 Papageorgiou, Demetrios T. 10 Wake, Graeme Charles 9 Champneys, Alan R. 9 Liu, Fawang 9 Mulholland, Anthony J. 9 Sleeman, Brian D. 9 Vanden-Broeck, Jean-Marc 8 Bassom, Andrew P. 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 Muñoz Rivera, Jaime Edilberto 7 Ogden, Raymond William 7 Please, Colin P. 7 Quintanilla de Latorre, Ramón 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 Leach, Jannie A. 6 Leppington, Frank G. 6 McNabb, Alex 6 Ockendon, John R. 6 Pozrikidis, Constantine 6 Rajagopal, Kumbakonam Ramamani 6 Schiavone, Peter 6 Sherratt, Jonathan A. 6 Steigmann, David J. 5 Anh, Vo V. 5 Blake, John Robert 5 Chapman, Stephen Jonathan 5 Choi, Yung-Sze 5 Herbert, D. M. 5 Howison, Sam D. 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 Smyth, Noel F. 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 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, Concepción 4 Nakamura, Gen 4 Pop, Ioan 4 Qu, Changzheng 4 Romero, Juan Luis ...and 2,076 more Authors all top 5 Fields 737 Partial differential equations (35-XX) 550 Fluid mechanics (76-XX) 344 Mechanics of deformable solids (74-XX) 185 Biology and other natural sciences (92-XX) 157 Classical thermodynamics, heat transfer (80-XX) 149 Numerical analysis (65-XX) 146 Ordinary differential equations (34-XX) 136 Optics, electromagnetic theory (78-XX) 72 Dynamical systems and ergodic theory (37-XX) 66 Statistical mechanics, structure of matter (82-XX) 52 Integral equations (45-XX) 37 Systems theory; control (93-XX) 34 Geophysics (86-XX) 32 Probability theory and stochastic processes (60-XX) 30 Mechanics of particles and systems (70-XX) 29 Special functions (33-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Operator theory (47-XX) 26 Functions of a complex variable (30-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Integral transforms, operational calculus (44-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Quantum theory (81-XX) 14 Approximations and expansions (41-XX) 14 Operations research, mathematical programming (90-XX) 13 General and overarching topics; collections (00-XX) 13 Information and communication theory, circuits (94-XX) 12 Computer science (68-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 History and biography (01-XX) 10 Potential theory (31-XX) 10 Difference and functional equations (39-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Real functions (26-XX) 6 Measure and integration (28-XX) 5 Combinatorics (05-XX) 5 Functional analysis (46-XX) 4 Astronomy and astrophysics (85-XX) 3 Statistics (62-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 1,134 Publications have been cited 7,570 times in 6,654 Documents Cited by ▼ Year ▼ Numerical studies of the Cahn-Hilliard equation for phase separation. Zbl 0632.65113Elliott, Charles M.; French, Donald A. 91 1987 Nonlocal reaction-diffusion equations and nucleation. Zbl 0763.35051Rubinstein, Jacob; Sternberg, Peter 83 1992 Variational principles for inhomogeneous nonlinear media. Zbl 0588.73025Talbot, D. R. S.; Willis, J. R. 79 1985 Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction. Zbl 1048.35123Weng, Peixuan; Huang, Huaxiong; Wu, Jianhong 68 2003 The Cauchy problem for Laplace’s equation via the conjugate gradient method. Zbl 0967.35032Dinh Nho Hào; Lesnic, D. 66 2000 A variational method for identifying a spacewise-dependent heat source. Zbl 1135.65034Johansson, B. Tomas; Lesnic, Daniel 64 2007 The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073Shen, S.; Liu, Fawang; Anh, V.; Turner, I. 60 2008 Particle trajectories in extreme Stokes waves. Zbl 1250.35150Constantin, Adrian 59 2012 On the high Reynolds number theory of laminar flows. Zbl 0494.76042Smith, F. T. 57 1982 New methods for ordinary differential equations. Zbl 1065.34006Muriel, C.; Romero, J. L. 55 2001 The relaxed energy density for isotropic elastic membranes. Zbl 0644.73047Pipkin, Allen C. 54 1986 Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model. Zbl 1267.35236Li, Xin; Jiang, Weihua; Shi, Junping 52 2013 Rates of decay to weak thermoelastic Bresse system. Zbl 1209.80005Fatori, Luci Harue; Muñoz Rivera, Jaime E. 51 2010 On Namias’s fractional Fourier transforms. Zbl 0644.44005McBride, A. C.; Kerr, F. H. 50 1987 Impulse, flow force and variational principles. Zbl 0584.76001Benjamin, T. Brooke 50 1984 Theory of two-temperature generalized thermoelasticity. Zbl 1115.74019Youssef, H. M. 49 2006 On surface waves and deformations in a pre-stressed incompressible elastic solid. Zbl 0706.73018Dowaikh, M. A.; Ogden, R. W. 42 1990 A new transform method for evolution partial differential equations. Zbl 1028.35009Fokas, A. S. 42 2002 The denseness of the far field patterns for the transmission problem. Zbl 0652.35104Kirsch, Andreas 41 1986 High-order nonlinear diffusion. Zbl 0694.35091Smyth, N. F.; Hill, J. M. 40 1988 Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method. Zbl 0936.35039Qu, Changzheng 39 1999 On the weakly competitive case in a two-species chemotaxis model. Zbl 1404.35033Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 39 2016 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. 38 2015 Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060Arrigo, D. J.; Hill, J. M.; Broadbridge, P. 38 1994 A transform method for linear evolution PDEs on a finite interval. Zbl 1084.35002Fokas, A. S.; Pelloni, B. 38 2005 Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376Shi, Hong-Bo; Ruan, Shigui 38 2015 Total positivity and the stability of internal waves in stratified fluids of finite depth. Zbl 0723.76106Albert, J. P.; Bona, J. L. 36 1991 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086Colton, David; Sleeman, B. D. 36 1983 The existence of travelling plane waves in a general class of competition-diffusion systems. Zbl 0841.35050van Vuuren, Jan H. 36 1995 The dynamics of a conserved phase field system: Stefan-like, Hele-Shaw, and Cahn-Hilliard models as asymptotic limits. Zbl 0712.35114Caginalp, G. 35 1990 Regularization of parabolic equations backward in time by a non-local boundary value problem method. Zbl 1194.35501Hào, Dinh Nho; Duc, Nguyen Van; Lesnic, D. 34 2010 Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059Johansson, Tomas; Sleeman, Brian D. 32 2007 A cubic system with eight small-amplitude limit cycles. Zbl 0743.34037James, E. M.; Lloyd, N. G. 31 1991 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. 31 2009 Soliton interaction for the extended Korteweg-de Vries equation. Zbl 0857.35113Marchant, T. R.; Smyth, N. F. 31 1996 Stefan problem with phase relaxation. Zbl 0585.35053Visintin, Augusto 31 1985 On an attraction-repulsion chemotaxis system with a logistic source. Zbl 1336.35338Li, Xie; Xiang, Zhaoyin 30 2016 Relaxed energy densities for large deformations of membranes. Zbl 0801.73040Pipkin, A. C. 29 1994 The Riesz basis property of a Timoshenko beam with boundary feedback and application. Zbl 1136.74343Xu, Gen-Qi; Feng, De-Xing 28 2002 Razumikhin-type theorems on exponential stability of impulsive delay systems. Zbl 1128.34047Liu, Bin; Liu, Xinzhi; Teo, Kok Lay; Wang, Qing 28 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 Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate. Zbl 0923.76306Rees, D. A. S.; Pop, I. 26 1998 A Lobatto interpolation grid over the triangle. Zbl 1114.41001Blyth, M. G.; Pozrikidis, C. 26 2006 Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition. Zbl 0699.35151Lacey, A. A.; Tzanetis, D. 25 1988 The Riemann problem for the pressureless Euler system with the Coulomb-like friction term. Zbl 1336.35281Shen, Chun 25 2016 Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients. Zbl 1338.35444Zhao, Yonggang; Wang, Mingxin 25 2016 On the far-field operator in elastic obstacle scattering. Zbl 1141.35429Alves, Carlos J. S.; Kress, Rainer 25 2002 Stability in distribution of a three-species stochastic cascade predator-prey system with time delays. Zbl 1404.92158Liu, Meng; Fan, Meng 25 2017 The similarity method for difference equations. Zbl 0631.39003Maeda, Shigeru 25 1987 Painlevé analysis and the complete integrability of a generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 0719.35083Clarkson, Peter A. 24 1990 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 Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008Antoine, Xavier 24 2001 Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling. Zbl 0911.92028Ruan, Shigui 24 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. 24 1986 A bound for the temperature in the thermistor problem. Zbl 0694.35139Cimatti, Giovanni 23 1988 The completed double layer boundary integral equation method for two- dimensional Stokes flow. Zbl 0797.76013Power, Henry 23 1993 Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues. Zbl 1076.74024Lobo, Miguel; Nazarov, Serguei A.; Perez, Eugenia 23 2005 Poroelastic materials reinforced by statistically oriented fibres – numerical implementation and application to articular cartilage. Zbl 1299.74171Tomic, Aleksandar; Grillo, Alfio; Salvatore, Federico 23 2014 Soliton solutions of non-linear evolution equations. Zbl 0542.35079Freeman, N. 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 Monotone wave-fronts in a structured population model with distributed maturation delay. Zbl 1086.92043Al-Omari, J. F. M.; Gourley, S. A. 22 2005 On a viscoelastic plate equation with history setting and perturbation of \(p\)-Laplacian type. Zbl 1282.35372Jorge Silva, M. A.; Ma, T. F. 22 2013 Primal-dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration. Zbl 1112.74047Kovtunenko, V. A. 22 2006 On a concept of derivative of complex order with applications of special functions. Zbl 0565.30034Campos, L. M. B. C. 22 1984 The formation of freckles in binary alloys. Zbl 0606.76110Fowler, A. C. 22 1985 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 Similarity solutions of a generalized Burgers equation. Zbl 0711.35117Doyle, J.; Englefield, M. J. 21 1990 Asymptotic behaviour of ground state solutions for the Hénon equation. Zbl 1169.35377Cao, Daomin; Peng, Shuangjie; Yan, Shusen 21 2009 Electromagnetic scattering by a homogeneous chiral obstacle in a chiral environment. Zbl 1064.78006Athanasiadis, Christodoulos; Costakis, George; Stratis, Ioannis G. 21 2000 Periodic waves with constant vorticity in water of infinite depth. Zbl 0860.76014Vanden-Broeck, J.-M. 21 1996 Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation. Zbl 0858.35062Sherratt, Jonathan A.; Marchant, Ben P. 21 1996 A point source method for inverse acoustic and electromagnetic obstacle scattering problems. Zbl 0912.76083Potthast, Roland 21 1998 A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 21 2014 Inflation and bifurcation of thick-walled compressible elastic spherical shells. Zbl 0649.73021Haughton, D. M. 21 1987 The structure of overall constitutive relations for a class of nonlinear composites. Zbl 0695.73005Willis, J. R. 20 1989 Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013Markowich, Peter A.; Schmeiser, Christian 20 1986 Singular solutions for the shallow-water equations. Zbl 1257.35123Kalisch, Henrik; Mitrovic, Darko 20 2012 Global stability for penetrative convection with throughflow in a porous material. Zbl 1129.76022Hill, A. A.; Rionero, S.; Straughan, B. 20 2007 Transmission problem in thermoelasticity with symmetry. Zbl 1060.74019Marzocchi, Alfredo; Muñoz Rivera, Jaime E.; Naso, Maria Grazia 19 2003 Electroelastic waves in a finitely deformed electroactive material. Zbl 1202.74043Dorfmann, A.; Ogden, R. W. 19 2010 Reactive infiltration instabilities. Zbl 0619.76116Chadam, J.; Hoff, D.; Merino, E.; Ortoleva, P.; Sen, A. 19 1986 A variational method for wave scattering from penetrable rough layers. Zbl 1205.78024Lechleiter, Armin; Ritterbusch, Sebastian 18 2010 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 18 2008 \(C^\infty\)-symmetries and non-solvable symmetry algebras. Zbl 1006.34032Muriel, C.; Romero, J. L. 18 2001 Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays. Zbl 1316.34079Li, Xiaodi; O’Regan, Donal; Akca, Haydar 18 2015 Eigensolutions in boundary-layer flow adjacent to a stretching wall. Zbl 0619.76011Banks, W. H. H.; Zaturska, M. B. 18 1986 A multiscale model for pH-tactic invasion with time-varying carrying capacities. Zbl 1328.35254Stinner, Christian; Surulescu, Christina; Meral, Gülnihal 18 2015 On a transform method for the Laplace equation in a polygon. Zbl 1170.37331Fokas, A. S.; Kapaev, A. A. 17 2003 The primal-dual active set method for a crack problem with non-penetration. Zbl 1084.49029Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 17 2004 On radiation conditions for rough surface scattering problems. Zbl 1100.35101Arens, Tilo; Hohage, Thorsten 17 2005 A model for an electropaint process. Zbl 0547.35048Aitchison, J. M.; Lacey, A. A.; Shillor, M. 17 1984 Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system. Zbl 1201.34132Yuan, Sanling; Song, Yongli 17 2009 On hearing the shape of a bounded domain with Robin boundary conditions. Zbl 0951.35105Zayed, E. M. E. 17 2000 Singular initial and boundary value problems with sign changing nonlinearities. Zbl 0966.34016Agarwal, Ravi P.; O’Regan, Donal 17 2000 Instability of travelling wave solutions of a population model with nonlocal effects. Zbl 0832.35068Gourley, S. A.; Britton, N. F. 17 1993 Two-dimensional flexural-gravity waves of finite amplitude in deep water. Zbl 1282.76080Wang, Z.; Vanden-Broeck, J.-M.; Milewski, P. A. 17 2013 Existence and qualitative properties of concentrating solutions for the sinh-Poisson equation. Zbl 1154.35072Bartolucci, Daniele; Pistoia, Angela 17 2007 Analytic solutions of the Nagumo equation. Zbl 0774.35085Chen, Zhixiong; Guo, Benyu 16 1992 On the nonlinear evolution of Goertler vortices in nonparallel boundary layers. Zbl 0498.76095Hall, P. 16 1982 A stable and accurate numerical method to calculate the motion of a sharp interface between fluids. Zbl 0525.76109Roberts, A. J. 16 1983 Fractional phase-field crystal modelling: analysis, approximation and pattern formation. Zbl 1443.74160Ainsworth, Mark; Mao, Zhiping 2 2020 Kuwabara-Kono numerical dissipation: a new method to simulate granular matter. Zbl 1433.74038James, Guillaume; Vorotnikov, Kirill; Brogliato, Bernard 1 2020 A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. Zbl 1433.74063Wootton, Peter T.; Kaplunov, Julius; Prikazchikov, Danila 1 2020 Homogenization approximations for unidirectional transport past randomly distributed sinks. Zbl 1446.82073Russell, Matthew J.; Jensen, Oliver E. 1 2020 Stable asymmetric spike equilibria for the Gierer-Meinhardt model with a precursor field. Zbl 1460.35014Kolokolnikov, Theodore; Paquin-Lefebvre, Frédéric; Ward, Michael J. 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 Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency. Zbl 1465.78004Xu, Xiaoxu; Zhang, Bo; Zhang, Haiwen 1 2020 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 2 2019 Damped second order flow applied to image denoising. Zbl 1434.65163Baravdish, G.; Svensson, O.; Gulliksson, M.; Zhang, Y. 2 2019 Modelling crowd movements in domains with boundaries. Zbl 1427.91190Colombo, Rinaldo M.; Rossi, Elena 1 2019 Synchrony in networks of Franklin bells. Zbl 1429.34060Şayli, Mustafa; Lai, Yi Ming; Thul, Rüdiger; 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 Large time behaviour and synchronization of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type. Zbl 07383793Ambrosio, B.; Aziz-Alaoui, M. A.; Phan, V. L. E. 1 2019 Manifold learning with bi-stochastic kernels. Zbl 07383795Marshall, Nicholas F.; Coifman, Ronald R. 1 2019 A numerical procedure and coupled system formulation for the adjoint approach in hyperbolic PDE-constrained optimization problems. Zbl 07383796Montecinos, Gino I.; López-Ríos, Juan C.; Ortega, Jaime H.; Lecaros, Rodrigo 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 7 2018 The global evolution of states of a continuum Kawasaki model with repulsion. Zbl 1404.82046Barańska, 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 Exponential stability for a coupled system of damped-undamped plate equations. Zbl 1404.35046Denk, Robert; Kammerlander, Felix 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 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 2 2018 Enhanced sedimentation of elongated plankton in simple flows. Zbl 1408.76622Clifton, W.; Bearon, R. N.; Bees, M. A. 2 2018 Surface shear horizontal waves in a double-layered nonlinear elastic half space. Zbl 1406.35349Deliktas, Ekin; Teymur, Mevlut 2 2018 Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions. Zbl 1408.35014Lyalinov, Mikhail A. 1 2018 Instability in the self-similar motion of a planar solidification front. Zbl 1408.80004Brosa Planella, Ferran; Please, Colin P.; Van Gorder, Robert A. 1 2018 The vector derivative nonlinear Schrödinger equation on the half-line. Zbl 1406.35364Liu, Huan; Geng, Xianguo 1 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; Plouraboué, Franck 1 2018 Tree representations of streamline topologies of structurally stable 2D incompressible flows. Zbl 1404.37100Sakajo, Takashi; Yokoyama, Tomoo 1 2018 Stability in distribution of a three-species stochastic cascade predator-prey system with time delays. Zbl 1404.92158Liu, Meng; Fan, Meng 25 2017 Spatio-temporal patterns in a diffusive model with non-local delay effect. Zbl 1404.35036Guo, Shangjiang 15 2017 On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles. Zbl 1406.35368Pichler, Monika; Biondini, Gino 14 2017 Recovering the potential term in a fractional diffusion equation. Zbl 1405.65112Zhang, Zhidong; Zhou, Zhi 9 2017 Hölder stability of an inverse problem for a strongly coupled reaction-diffusion system. Zbl 1408.35223Wu, Bin; Yu, Jun 7 2017 On the spectral analysis of residual stress in finite elasticity. Zbl 1408.74008Shariff, M. H. B. M.; Bustamante, R.; Merodio, J. 7 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. 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 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. 5 2017 A mixed variational formulation for a piezoelectric frictional contact problem. Zbl 1408.74042Matei, Andaluzia; Sofonea, Mircea 4 2017 A reaction-diffusion-advection competition model with two free boundaries in heterogeneous time-periodic environment. Zbl 1404.92146Chen, Qiaoling; Li, Fengquan; Wang, Feng 4 2017 Finite difference methods of the spatial fractional Black-Scholes equation for a European call option. Zbl 1418.91607Zhao, Hui; Tian, Hongjiong 4 2017 Limit cycles bifurcating from discontinuous centres. Zbl 1404.37057de Carvalho Braga, Denis; Carvalho, Tiago; Mello, Luis Fernando 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 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 Mathematical modelling of contact Lens moulding. Zbl 1406.35292Murphy, Ellen A.; Lee, William T. 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 A new second-order midpoint approximation formula for Riemann-Liouville derivative: algorithm and its application. Zbl 07383747Ding, Hengfei; Li, Changpin; Yi, Qian 1 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 1 2017 On the weakly competitive case in a two-species chemotaxis model. Zbl 1404.35033Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 39 2016 On an attraction-repulsion chemotaxis system with a logistic source. Zbl 1336.35338Li, Xie; Xiang, Zhaoyin 30 2016 The Riemann problem for the pressureless Euler system with the Coulomb-like friction term. Zbl 1336.35281Shen, Chun 25 2016 Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients. Zbl 1338.35444Zhao, Yonggang; Wang, Mingxin 25 2016 Constructive methods for factorization of matrix-functions. Zbl 1338.15035Rogosin, Sergei; Mishuris, Gennady 16 2016 The dynamics of an SVIR epidemiological model with infection age. Zbl 1338.35429Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu 15 2016 Traveling wave fronts in a diffusive epidemic model with multiple parallel infectious stages. Zbl 1406.35444Zhao, Lin; Wang, Zhi-Cheng 15 2016 A reaction-diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions. Zbl 1335.35111Almeida, Rui M. P.; Antontsev, Stanislav N.; Duque, José C. M.; Ferreira, Jorge 12 2016 Spherical squirmers: models for swimming micro-organisms. Zbl 1406.35295Pedley, T. J. 11 2016 The Schottky-Klein prime function: a theoretical and computational tool for applications. Zbl 1408.30035Crowdy, D. G.; Kropf, E. H.; Green, C. C.; Nasser, M. M. S. 11 2016 Geometrical insight into non-smooth bifurcations of a soft impact oscillator. Zbl 1426.70024Jiang, Haibo; Wiercigroch, Marian 9 2016 The Painlevé paradox in contact mechanics. Zbl 1408.70006Champneys, Alan R.; Várkonyi, Péter L. 7 2016 Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu 6 2016 Existence of second order solitary solutions to Riccati differential equations coupled with a multiplicative term. Zbl 1404.34022Navickas, Z.; Marcinkevicius, R.; Telksnys, T.; Ragulskis, M. 6 2016 Curvilinear mode-I/mode-II interface fracture with a curvature-dependent surface tension on the boundary. Zbl 1408.74011Zemlyanova, Anna Y. 5 2016 Bifurcation from stable fixed point to 2D attractor in the border collision normal form. Zbl 1404.37058Glendinning, Paul 4 2016 Homogenization of a pore scale model for precipitation and dissolution in porous media. Zbl 1404.35026Kumar, K.; Neuss-Radu, M.; Pop, I. S. 4 2016 Essential spectrum of local multi-trace boundary integral operators. Zbl 1406.35105Claeys, Xavier 4 2016 Multiple attractors in grazing-sliding bifurcations in Filippov-type flows. Zbl 1404.37059Glendinning, Paul; Kowalczyk, Piotr; Nordmark, Arne B. 3 2016 Interaction of in-phase and anti-phase synchronies in a coupled compartment-bulk diffusion model at a double Hopf bifurcation. Zbl 1404.37055Gou, Jia; Nagata, Wayne; Li, Yue-Xian 3 2016 A theoretical model of an ultrasonic transducer incorporating spherical resonators. Zbl 1341.78009Walker, Alan J.; Mulholland, Anthony J. 2 2016 Multiscale modelling couples patches of non-linear wave-like simulations. Zbl 1338.35353Cao, Meng; Roberts, A. J. 2 2016 An SIRS epidemic model with a rapidly decreasing probability for immunity. Zbl 1338.34158Carr, Thomas W. 2 2016 The equivalent medium for the elastic scattering by many small rigid bodies and applications. 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J. 1 2016 A model for thermoelastic contact oscillations. Zbl 1408.80002Ockendon, J. R.; Barber, J. R. 1 2016 Exact solutions describing the injection-driven growth of a doubly-periodic fluid region in a Hele-Shaw cell. Zbl 1408.76230Marshall, J. S. 1 2016 Wave stability in anisotropic generalized temperature-rate-dependent thermoelasticity. Zbl 1408.74004Alharbi, Amnah M.; Scott, Nigel H. 1 2016 Pricing options in a Markov regime switching model with a random acceleration for the volatility. Zbl 1418.91509Elliott, Robert J.; Chan, Leunglung; Siu, Tak Kuen 1 2016 Global existence of weak solutions for a three-component Camassa-Holm system with N-peakon solutions. Zbl 1404.35110Luo, Wei; Yin, Zhaoyang 1 2016 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. 38 2015 Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376Shi, Hong-Bo; Ruan, Shigui 38 2015 Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays. Zbl 1316.34079Li, Xiaodi; O’Regan, Donal; Akca, Haydar 18 2015 A multiscale model for pH-tactic invasion with time-varying carrying capacities. Zbl 1328.35254Stinner, Christian; Surulescu, Christina; Meral, Gülnihal 18 2015 Global stability of an epidemic model with carrier state in heterogeneous networks. Zbl 1330.92122Cao, Jinde; Wang, Yi; Alofi, Abdulaziz; Al-Mazrooei, Abdullah; Elaiw, Ahmed 13 2015 An efficient numerical algorithm for the \(L^{2}\) optimal transport problem with periodic densities. Zbl 1408.49022Saumier, Louis-Philippe; Agueh, Martial; Khouider, Boualem 13 2015 Selection and stability of wave trains behind predator invasions in a model with non-local prey competition. Zbl 1330.35475Merchant, Sandra M.; Nagata, Wayne 12 2015 Hybrid numerical-asymptotic approximation for high-frequency scattering by penetrable convex polygons. Zbl 1328.35230Groth, Samuel P.; Hewett, David P.; Langdon, Stephen 12 2015 Regularized model of post-touchdown configurations in electrostatic MEMS: interface dynamics. Zbl 1334.35341Lindsay, A. E.; Lega, J.; Glasner, K. B. 10 2015 A generalization of the Allen-Cahn equation. Zbl 1320.35346Miranville, Alain; Quintanilla, Ramon 10 2015 A transform method for Laplace’s equation in multiply connected circular domains. Zbl 1338.35357Crowdy, Darren 9 2015 ...and 1034 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,122 Authors 33 Liu, Fawang 28 Fokas, Athanassios S. 28 Mu, Chunlai 27 Lesnic, Daniel 27 Quintanilla de Latorre, Ramón 26 Li, Wan-Tong 26 Zayed, Elsayed M. E. 25 Nazarov, Sergeĭ Aleksandrovich 24 Turner, Ian William 24 Weng, Peixuan 24 Xu, Gen-Qi 23 Steigmann, David J. 23 Wang, Zhi Cheng 21 Ponte Castañeda, Pedro 21 Qu, Changzheng 20 Fernández, Jose Ramon 19 Agarwal, Ravi P. 18 Hill, James Murray 18 Muriel, Concepción 18 O’Regan, Donal 18 Pop, Ioan 18 Slodička, Marián 17 Bassom, Andrew P. 17 Colli, Pierluigi 17 Johansson, B. Tomas 17 Krutitskii, Pavel A. 17 Merkin, John H. 17 Muñoz Rivera, Jaime Edilberto 17 Ogden, Raymond William 16 Fu, Chuli 16 King, John Robert 16 Sun, Zhizhong 16 Yu, Zhixian 15 Athanasiadis, Christodoulos E. 15 Chen, Xinfu 15 Gao, David Yang 15 Sherratt, Jonathan A. 14 Abrahams, I. David 14 Frigaard, Ian A. 14 Guo, Shangjiang 14 Han, Zhongjie 14 Hu, Guanghui 14 Miranville, Alain M. 14 Nguyen Huy Tuan 14 Rogerson, Graham A. 14 Ruan, Shigui 14 Tarzia, Domingo Alberto 14 Yin, Zhaoyang 13 Constanda, Christian 13 Djellouli, Rabia 13 Kovtunenko, Viktor Anatolievich 13 Rionero, Salvatore 13 Tian, Bo 13 Witelski, Thomas P. 12 Antoine, Xavier 12 Barucq, Hélène 12 Broadbridge, Philip 12 Coman, Ciprian D. 12 Dassios, George 12 Dehghan Takht Fooladi, Mehdi 12 Kress, Rainer 12 Okamoto, Hisashi 12 Papageorgiou, Demetrios T. 12 Rajagopal, Kumbakonam Ramamani 12 Vanden-Broeck, Jean-Marc 12 Wang, Xu 11 Anh, Vo V. 11 Arrigo, Daniel J. 11 Il’ichev, Andreĭ Teĭmurazovich 11 Lin, Guo 11 Liu, Zhijun 11 Lyalinov, Mikhail Anatolievich 11 Ma, Fuming 11 McCue, Scott William 11 Murphy, Jeremiah G. 11 Srivastava, Hari Mohan 11 Wang, Mingxin 11 Wei, Junjie 11 Wei, Ting 11 Xu, Rui 11 Yuan, Rong 10 Campo, Marco A. 10 Cao, Jinde 10 Chudinovich, Igor Yuryevich 10 Copetti, Maria Inês M. 10 Crowdy, Darren Gregory 10 Destrade, Michel 10 Han, Weimin 10 Jumarie, Guy M. 10 Leach, Jannie A. 10 Li, Xiaolin 10 Liu, Jijun 10 Martin, Paul Andrew 10 Repin, Sergeĭ Igorevich 10 Sahoo, Trilochan 10 Said-Houari, Belkacem 10 Shi, Junping 10 Sidhu, Harvinder Singh 10 Sini, Mourad 10 Vazquez, Juan Luis ...and 8,022 more Authors all top 5 Cited in 510 Journals 253 Journal of Mathematical Analysis and Applications 223 Applied Mathematics and Computation 198 Journal of Fluid Mechanics 149 Journal of Differential Equations 146 ZAMP. 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Mathematical, Physical and Engineering Sciences 23 Journal of Integral Equations and Applications 23 Journal of Dynamics and Differential Equations 22 Journal of Nonlinear Science 22 Journal of Mathematical Chemistry 22 Mathematical Biosciences and Engineering 22 Inverse Problems and Imaging 21 Computers and Fluids 21 Numerical Methods for Partial Differential Equations 21 Chaos 21 Boundary Value Problems 21 Advances in Mathematical Physics 20 Acta Mathematicae Applicatae Sinica. English Series 20 International Journal of Computer Mathematics 19 Rocky Mountain Journal of Mathematics 19 Mathematics and Computers in Simulation 19 Applied Mathematics and Mechanics. (English Edition) 19 Journal of Theoretical Biology 18 Nonlinearity 18 Mathematics of Computation 18 Computational Mechanics 17 International Journal of Solids and Structures 17 Journal of the Franklin Institute 17 Communications in Partial Differential Equations 17 SIAM Journal on Scientific Computing 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Discrete and Continuous Dynamical Systems. Series S 16 Mathematical Biosciences 16 Integral Transforms and Special Functions 15 Discrete Dynamics in Nature and Society 14 Journal of Statistical Physics 14 International Journal for Numerical Methods in Engineering 14 Journal of Functional Analysis 14 Proceedings of the American Mathematical Society ...and 410 more Journals all top 5 Cited in 59 Fields 3,283 Partial differential equations (35-XX) 1,527 Fluid mechanics (76-XX) 1,381 Mechanics of deformable solids (74-XX) 1,165 Numerical analysis (65-XX) 859 Biology and other natural sciences (92-XX) 681 Ordinary differential equations (34-XX) 379 Dynamical systems and ergodic theory (37-XX) 375 Classical thermodynamics, heat transfer (80-XX) 325 Optics, electromagnetic theory (78-XX) 222 Systems theory; control (93-XX) 203 Operator theory (47-XX) 201 Integral equations (45-XX) 175 Calculus of variations and optimal control; optimization (49-XX) 156 Statistical mechanics, structure of matter (82-XX) 133 Probability theory and stochastic processes (60-XX) 101 Geophysics (86-XX) 87 Special functions (33-XX) 83 Mechanics of particles and systems (70-XX) 80 Real functions (26-XX) 77 Global analysis, analysis on manifolds (58-XX) 75 Functions of a complex variable (30-XX) 65 Difference and functional equations (39-XX) 59 Operations research, mathematical programming (90-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 53 Potential theory (31-XX) 49 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 48 Approximations and expansions (41-XX) 47 Integral transforms, operational calculus (44-XX) 44 Functional analysis (46-XX) 44 Quantum theory (81-XX) 38 Information and communication theory, circuits (94-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 25 Computer science (68-XX) 23 Differential geometry (53-XX) 17 History and biography (01-XX) 13 Statistics (62-XX) 12 Topological groups, Lie groups (22-XX) 11 General and overarching topics; collections (00-XX) 11 Combinatorics (05-XX) 11 Number theory (11-XX) 9 Measure and integration (28-XX) 9 Astronomy and astrophysics (85-XX) 7 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) 4 Relativity and gravitational theory (83-XX) 3 Algebraic topology (55-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) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX) Citations by Year