## 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)
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### Latest Issues

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### 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, 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 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, Concepción ...and 2,134 more Authors
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### 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)

### 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 0763.35051
Rubinstein, Jacob; Sternberg, Peter
1992
Numerical studies of the Cahn-Hilliard equation for phase separation. Zbl 0632.65113
Elliott, Charles M.; French, Donald A.
1987
Variational principles for inhomogeneous nonlinear media. Zbl 0588.73025
Talbot, D. R. S.; Willis, J. R.
1985
The Cauchy problem for Laplace’s equation via the conjugate gradient method. Zbl 0967.35032
Dinh Nho Hào; Lesnic, D.
2000
Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction. Zbl 1048.35123
Weng, Peixuan; Huang, Huaxiong; Wu, Jianhong
2003
A variational method for identifying a spacewise-dependent heat source. Zbl 1135.65034
Johansson, B. Tomas; Lesnic, Daniel
2007
The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
2008
Particle trajectories in extreme Stokes waves. Zbl 1250.35150
2012
On the high Reynolds number theory of laminar flows. Zbl 0494.76042
Smith, F. T.
1982
New methods for ordinary differential equations. Zbl 1065.34006
Muriel, C.; Romero, J. L.
2001
Rates of decay to weak thermoelastic Bresse system. Zbl 1209.80005
Fatori, Luci Harue; Muñoz Rivera, Jaime E.
2010
On Namias’s fractional Fourier transforms. Zbl 0644.44005
McBride, A. C.; Kerr, F. H.
1987
The relaxed energy density for isotropic elastic membranes. Zbl 0644.73047
Pipkin, Allen C.
1986
Theory of two-temperature generalized thermoelasticity. Zbl 1115.74019
Youssef, H. M.
2006
Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model. Zbl 1267.35236
Li, Xin; Jiang, Weihua; Shi, Junping
2013
Impulse, flow force and variational principles. Zbl 0584.76001
Benjamin, T. Brooke
1984
On the weakly competitive case in a two-species chemotaxis model. Zbl 1404.35033
Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki
2016
The denseness of the far field patterns for the transmission problem. Zbl 0652.35104
Kirsch, Andreas
1986
A new transform method for evolution partial differential equations. Zbl 1028.35009
Fokas, A. S.
2002
On surface waves and deformations in a pre-stressed incompressible elastic solid. Zbl 0706.73018
Dowaikh, M. A.; Ogden, R. W.
1990
Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120
Ye, H.; Liu, Fawang; Anh, V.; Turner, I.
2015
Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method. Zbl 0936.35039
Qu, Changzheng
1999
A transform method for linear evolution PDEs on a finite interval. Zbl 1084.35002
Fokas, A. S.; Pelloni, B.
2005
High-order nonlinear diffusion. Zbl 0694.35091
Smyth, N. F.; Hill, J. M.
1988
Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060
Arrigo, D. J.; Hill, J. M.; Broadbridge, P.
1994
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376
Shi, Hong-Bo; Ruan, Shigui
2015
The dynamics of a conserved phase field system: Stefan-like, Hele-Shaw, and Cahn-Hilliard models as asymptotic limits. Zbl 0712.35114
Caginalp, G.
1990
Total positivity and the stability of internal waves in stratified fluids of finite depth. Zbl 0723.76106
Albert, J. P.; Bona, J. L.
1991
The existence of travelling plane waves in a general class of competition-diffusion systems. Zbl 0841.35050
van Vuuren, Jan H.
1995
Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086
Colton, David; Sleeman, B. D.
1983
Stability and convergence of an implicit numerical method for the nonlinear fractional reaction-subdiffusion process. Zbl 1187.35271
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
2009
Regularization of parabolic equations backward in time by a non-local boundary value problem method. Zbl 1194.35501
Hào, Dinh Nho; Duc, Nguyen Van; Lesnic, D.
2010
On an attraction-repulsion chemotaxis system with a logistic source. Zbl 1336.35338
Li, Xie; Xiang, Zhaoyin
2016
Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays. Zbl 1316.34079
Li, Xiaodi; O’Regan, Donal; Akca, Haydar
2015
Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059
Johansson, Tomas; Sleeman, Brian D.
2007
Soliton interaction for the extended Korteweg-de Vries equation. Zbl 0857.35113
Marchant, T. R.; Smyth, N. F.
1996
A cubic system with eight small-amplitude limit cycles. Zbl 0743.34037
James, E. M.; Lloyd, N. G.
1991
Stefan problem with phase relaxation. Zbl 0585.35053
Visintin, Augusto
1985
The Riemann problem for the pressureless Euler system with the Coulomb-like friction term. Zbl 1336.35281
Shen, Chun
2016
Relaxed energy densities for large deformations of membranes. Zbl 0801.73040
Pipkin, A. C.
1994
Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients. Zbl 1338.35444
Zhao, Yonggang; Wang, Mingxin
2016
Razumikhin-type theorems on exponential stability of impulsive delay systems. Zbl 1128.34047
Liu, Bin; Liu, Xinzhi; Teo, Kok Lay; Wang, Qing
2006
The Riesz basis property of a Timoshenko beam with boundary feedback and application. Zbl 1136.74343
Xu, Gen-Qi; Feng, De-Xing
2002
On the far-field operator in elastic obstacle scattering. Zbl 1141.35429
Alves, Carlos J. S.; Kress, Rainer
2002
Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate. Zbl 0923.76306
Rees, D. A. S.; Pop, I.
1998
A Lobatto interpolation grid over the triangle. Zbl 1114.41001
Blyth, M. G.; Pozrikidis, C.
2006
On boundary layers in fluid mechanics that decay algebraically along stretches of wall that are not vanishingly small. Zbl 0472.76045
Kuiken, H. K.
1981
Stability in distribution of a three-species stochastic cascade predator-prey system with time delays. Zbl 1404.92158
Liu, Meng; Fan, Meng
2017
The similarity method for difference equations. Zbl 0631.39003
Maeda, Shigeru
1987
The formation of freckles in binary alloys. Zbl 0606.76110
Fowler, A. C.
1985
Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling. Zbl 0911.92028
Ruan, Shigui
1998
The mesa problem: diffusion patterns for $$u_ t=\nabla \cdot (u^ m\nabla u)$$ as $$m\to +\infty$$. Zbl 0655.35034
Elliott, C. M.; Herrero, M. A.; King, J. R.; Ockendon, J. R.
1986
Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition. Zbl 0699.35151
Lacey, A. A.; Tzanetis, D.
1988
Asymptotic behaviour of ground state solutions for the Hénon equation. Zbl 1169.35377
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2009
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008
Antoine, Xavier
2001
Non-linear waves in lattices: past, present, future. Zbl 1230.37099
Kevrekidis, P. G.
2011
On a viscoelastic plate equation with history setting and perturbation of $$p$$-Laplacian type. Zbl 1282.35372
Jorge Silva, M. A.; Ma, T. F.
2013
A bound for the temperature in the thermistor problem. Zbl 0694.35139
Cimatti, Giovanni
1988
Painlevé analysis and the complete integrability of a generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 0719.35083
Clarkson, Peter A.
1990
Primal-dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration. Zbl 1112.74047
Kovtunenko, V. A.
2006
Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
2009
Poroelastic materials reinforced by statistically oriented fibres – numerical implementation and application to articular cartilage. Zbl 1299.74171
Tomic, Aleksandar; Grillo, Alfio; Salvatore, Federico
2014
Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation. Zbl 0858.35062
Sherratt, Jonathan A.; Marchant, Ben P.
1996
Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues. Zbl 1076.74024
Lobo, Miguel; Nazarov, Serguei A.; Perez, Eugenia
2005
Constructive methods for factorization of matrix-functions. Zbl 1338.15035
2016
The structure of overall constitutive relations for a class of nonlinear composites. Zbl 0695.73005
Willis, J. R.
1989
Similarity solutions of a generalized Burgers equation. Zbl 0711.35117
Doyle, J.; Englefield, M. J.
1990
Electromagnetic scattering by a homogeneous chiral obstacle in a chiral environment. Zbl 1064.78006
Athanasiadis, Christodoulos; Costakis, George; Stratis, Ioannis G.
2000
The completed double layer boundary integral equation method for two- dimensional Stokes flow. Zbl 0797.76013
Power, Henry
1993
Monotone wave-fronts in a structured population model with distributed maturation delay. Zbl 1086.92043
Al-Omari, J. F. M.; Gourley, S. A.
2005
On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles. Zbl 1406.35368
Pichler, Monika; Biondini, Gino
2017
A point source method for inverse acoustic and electromagnetic obstacle scattering problems. Zbl 0912.76083
Potthast, Roland
1998
Soliton solutions of non-linear evolution equations. Zbl 0542.35079
Freeman, N. C.
1984
A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
2014
Periodic waves with constant vorticity in water of infinite depth. Zbl 0860.76014
Vanden-Broeck, J.-M.
1996
On a concept of derivative of complex order with applications of special functions. Zbl 0565.30034
Campos, L. M. B. C.
1984
Numerical analysis of dynamic thermoviscoelastic contact with damage of a rod. Zbl 1171.74386
Andrews, K. T.; Fernández, J. R.; Shillor, M.
2005
Inflation and bifurcation of thick-walled compressible elastic spherical shells. Zbl 0649.73021
Haughton, D. M.
1987
The structure of the solution set for periodic oscillations in a suspension bridge model. Zbl 0756.73041
Choi, Y. S.; Jen, K. C.; McKenna, P. J.
1991
Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013
Markowich, Peter A.; Schmeiser, Christian
1986
Electroelastic waves in a finitely deformed electroactive material. Zbl 1202.74043
Dorfmann, A.; Ogden, R. W.
2010
Global stability for penetrative convection with throughflow in a porous material. Zbl 1129.76022
Hill, A. A.; Rionero, S.; Straughan, B.
2007
The application of Padé approximants to Wiener-Hopf factorization. Zbl 0969.65120
Abrahams, I. David
2000
Singular solutions for the shallow-water equations. Zbl 1257.35123
Kalisch, Henrik; Mitrovic, Darko
2012
Transmission problem in thermoelasticity with symmetry. Zbl 1060.74019
Marzocchi, Alfredo; Muñoz Rivera, Jaime E.; Naso, Maria Grazia
2003
On radiation conditions for rough surface scattering problems. Zbl 1100.35101
Arens, Tilo; Hohage, Thorsten
2005
A multiscale model for pH-tactic invasion with time-varying carrying capacities. Zbl 1328.35254
Stinner, Christian; Surulescu, Christina; Meral, Gülnihal
2015
Reactive infiltration instabilities. Zbl 0619.76116
Chadam, J.; Hoff, D.; Merino, E.; Ortoleva, P.; Sen, A.
1986
Stochastic ordinary differential equations in applied and computational mathematics. Zbl 1221.60099
Higham, Desmond J.
2011
Macroscopic transport models for rarefied gas flows: a brief review. Zbl 1276.76074
Struchtrup, Henning; Taheri, Peyman
2011
An improved unified gas-kinetic scheme and the study of shock structures. Zbl 1276.76063
Xu, Kun; Huang, Juan-Chen
2011
Two-dimensional flexural-gravity waves of finite amplitude in deep water. Zbl 1282.76080
Wang, Z.; Vanden-Broeck, J.-M.; Milewski, P. A.
2013
Spreading speeds and travelling waves in a delayed population model with stage structure on a 2D spatial lattice. Zbl 1155.35474
Cheng, Cui-Ping; Li, Wan-Tong; Wang, Zhi-Cheng
2008
A variational method for wave scattering from penetrable rough layers. Zbl 1205.78024
Lechleiter, Armin; Ritterbusch, Sebastian
2010
The dynamics of an SVIR epidemiological model with infection age. Zbl 1338.35429
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2016
Eigensolutions in boundary-layer flow adjacent to a stretching wall. Zbl 0619.76011
Banks, W. H. H.; Zaturska, M. B.
1986
$$C^\infty$$-symmetries and non-solvable symmetry algebras. Zbl 1006.34032
Muriel, C.; Romero, J. L.
2001
Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system. Zbl 1201.34132
Yuan, Sanling; Song, Yongli
2009
Spatio-temporal patterns in a diffusive model with non-local delay effect. Zbl 1404.35036
Guo, Shangjiang
2017
A model for an electropaint process. Zbl 0547.35048
Aitchison, J. M.; Lacey, A. A.; Shillor, M.
1984
Steady states and pattern formation of the density-suppressed motility model. Zbl 1467.92042
Wang, Zhi-An; Xu, Xin
2021
General rogue waves in the three-wave resonant interaction systems. Zbl 07383817
Yang, Bo; Yang, Jianke
2021
An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems. Zbl 1470.86006
Morupisi, Kgomotso S.; Budd, Chris
2021
On a subdiffusive tumour growth model with fractional time derivative. Zbl 1472.92080
Fritz, Marvin; Kuttler, Christina; Rajendran, Mabel L.; Wohlmuth, Barbara; Scarabosio, Laura
2021
Reaction-subdiffusion systems and memory: spectra, Turing instability and decay estimates. Zbl 1471.35315
Yang, Jichen; Rademacher, Jens D. M.
2021
Stability results on radial porous media and Hele-Shaw flows with variable viscosity between two moving interfaces. Zbl 1471.76033
Gin, Craig; Daripa, Prabir
2021
Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background. Zbl 1471.76063
Kow, Pu-Zhao; Wang, Jenn-Nan
2021
Longitudinal thermocapillary slip about a dilute periodic mattress of protruding bubbles. Zbl 1471.76079
Yariv, Ehud; Kirk, Toby L.
2021
Localized patterns and semi-strong interaction, a unifying framework for reaction-diffusion systems. Zbl 1480.92092
2021
Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency. Zbl 1465.78004
Xu, Xiaoxu; Zhang, Bo; Zhang, Haiwen
2020
Kuwabara-Kono numerical dissipation: a new method to simulate granular matter. Zbl 1433.74038
James, Guillaume; Vorotnikov, Kirill; Brogliato, Bernard
2020
A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane. Zbl 1433.74063
Wootton, Peter T.; Kaplunov, Julius; Prikazchikov, Danila
2020
Fractional phase-field crystal modelling: analysis, approximation and pattern formation. Zbl 1443.74160
Ainsworth, Mark; Mao, Zhiping
2020
Stable asymmetric spike equilibria for the Gierer-Meinhardt model with a precursor field. Zbl 1460.35014
Kolokolnikov, Theodore; Paquin-Lefebvre, Frédéric; Ward, Michael J.
2020
Homogenization approximations for unidirectional transport past randomly distributed sinks. Zbl 1446.82073
Russell, Matthew J.; Jensen, Oliver E.
2020
Non-Newtonian channel flow – exact solutions. Zbl 1447.76003
Griffiths, P. T.
2020
A mathematical multi-organ model for bidirectional epithelial-mesenchymal transitions in the metastatic spread of cancer. Zbl 1457.92076
Franssen, Linnea C.; Chaplain, Mark A. J.
2020
Shape optimization of stirring rods for mixing binary fluids. Zbl 1461.76151
Eggl, Maximilian F.; Schmid, Peter J.
2020
Fast and spectrally accurate numerical methods for perforated screens (with applications to Robin boundary conditions). Zbl 1461.76399
Colbrook, Matthew J.; Priddin, Matthew J.
2020
A mathematical model of asynchronous data flow in parallel computers. Zbl 1462.35423
Barnard, Richard C.; Huang, Kai; Hauck, Cory
2020
Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows. Zbl 1462.35399
Coti Zelati, Michele; Pavliotis, Grigorios A.
2020
Steady states of thin film droplets on chemically heterogeneous substrates. Zbl 1460.35025
Liu, Weifan; Witelski, Thomas P.
2020
Free-stream coherent structures in the unsteady Rayleigh boundary layer. Zbl 1460.76295
Johnstone, Eleanor C.; Hall, Philip
2020
Large time behaviour and synchronization of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type. Zbl 1472.35045
Ambrosio, B.; Aziz-Alaoui, M. A.; Phan, V. L. E.
2019
Damped second order flow applied to image denoising. Zbl 1434.65163
Baravdish, G.; Svensson, O.; Gulliksson, M.; Zhang, Y.
2019
Modelling crowd movements in domains with boundaries. Zbl 1427.91190
Colombo, Rinaldo M.; Rossi, Elena
2019
Large-time dynamics in complex networks of reaction-diffusion systems applied to a panic model. Zbl 1427.35105
Cantin, Guillaume; Aziz-Alaoui, M. A.; Verdière, Nathalie
2019
Game dynamic model of social distancing while cost of infection varies with epidemic burden. Zbl 1470.91040
Bhattacharyya, Samit; Reluga, Timothy
2019
Manifold learning with bi-stochastic kernels. Zbl 1472.68148
Marshall, Nicholas F.; Coifman, Ronald R.
2019
Analysis of a fractal ultrasonic transducer with a range of piezoelectric length scales. Zbl 1471.74040
Algehyne, Ebrahem A.; Mulholland, Anthony J.
2019
Explicit inverse of tridiagonal matrix with applications in autoregressive modelling. Zbl 1469.65079
Tan, Linda S. L.
2019
The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: the time delay cases. Zbl 1476.74067
Almeida Júnior, D. S.; Elishakoff, I.; Ramos, A. J. A.; Miranda, L. G. Rosário
2019
Geometric quantization of localized surface plasmons. Zbl 07383811
Schnitzer, Ory
2019
Analysis of random walks on a hexagonal lattice. Zbl 1432.60068
Di Crescenzo, Antonio; Macci, Claudio; Martinucci, Barbara; Spina, Serena
2019
Asymptotics of the eigenmodes and stability of an elastic structure with general feedback matrix. Zbl 1427.93073
Shubov, Marianna A.; Kindrat, Laszlo P.
2019
Two-dimensional Brinkman flows and their relation to analogous Stokes flows. Zbl 1431.35138
Martin, P. A.
2019
Synchrony in networks of Franklin bells. Zbl 1429.34060
Şayli, Mustafa; Lai, Yi Ming; Thul, Rüdiger; Coombes, Stephen
2019
Maximal 3D printing extrusion rates. Zbl 1434.80007
Edwards, D. A.; Mackay, M. E.; Swain, Z. R.; Banbury, C. R.; Phan, D. D.
2019
Existence and uniqueness of solutions of a general linear second-order hyperbolic problem. Zbl 1471.74023
van Rensburg, N. F. J.; Stapelberg, B.
2019
Modulated amplitude waves with non-trivial phase of multi-component Bose-Einstein condensates in optical lattices. Zbl 07383783
Liu, Qihuai; Torres, Pedro J.; Xing, Mingyan
2019
On a reaction-advection-diffusion equation with double free boundaries and $$m$$ th-order Fisher non-linearity. Zbl 1471.35080
Ren, Jingli; Zhu, Dandan
2019
Regularization of the semilinear sideways heat equation. Zbl 1471.80004
Nguyen Huy Tuan; Lesnic, Daniel; Tran Quoc Viet; Vo Van Au
2019
Trapped modes of the Helmholtz equation in infinite waveguides with wall indentations and circular obstacles. Zbl 1471.76064
Sargent, Cristina V.; Mestel, A. J.
2019
Diagnostics of wear thermoelastic instability based on sliding contact parameter monitoring. Zbl 1471.74058
Zelentsov, V. B.; Mitrin, B. I.; Lubyagin, I. A.; Kudish, I. I.
2019
A numerical procedure and coupled system formulation for the adjoint approach in hyperbolic PDE-constrained optimization problems. Zbl 1473.49035
Montecinos, Gino I.; López-Ríos, Juan C.; Ortega, Jaime H.; Lecaros, Rodrigo
2019
An elastic harmonic inclusion near a rigid harmonic inclusion loaded by a couple. Zbl 1471.74022
Wang, Xu; Chen, Liang; Schiavone, Peter
2019
Thermo-convective carbon sequestration in horizontal porous layers. Zbl 1471.76031
Gautam, K.; Narayana, P. A. L.; Hill, A. A.
2019
Traveling wave solutions for the Richards equation with hysteresis. Zbl 1471.35077
El Behi-Gornostaeva, E.; Mitra, K.; Schweizer, B.
2019
Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth. Zbl 1408.76109
Gao, Tao; Vanden-Broeck, Jean-Marc; Wang, Zhan
2018
The global evolution of states of a continuum Kawasaki model with repulsion. Zbl 1404.82046
Barańska, Joanna; Kozitsky, Yuri
2018
An elastohydrodynamical simulation study of filament and spermatozoan swimming driven by internal couples. Zbl 1408.76627
Ishimoto, Kenta; Gaffney, Eamonn A.
2018
Enhanced sedimentation of elongated plankton in simple flows. Zbl 1408.76622
Clifton, W.; Bearon, R. N.; Bees, M. A.
2018
Exponential stability for a coupled system of damped-undamped plate equations. Zbl 1404.35046
Denk, Robert; Kammerlander, Felix
2018
Bubble models and real bubbles: Rayleigh and energy-deposit cases in a Tait-compressible liquid. Zbl 1408.76522
Lauterborn, Werner; Lechner, Christiane; Koch, Max; Mettin, Robert
2018
Analysis of an age-structured HIV infection model with logistic target-cell growth and antiretroviral therapy. Zbl 07383774
Yan, Dongxue; Fu, Xianlong
2018
Using electric fields to induce patterning in leaky dielectric fluids in a rod-annular geometry. Zbl 1408.76589
Wang, Qiming; Papageorgiou, Demetrios T.
2018
Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions. Zbl 1408.35014
Lyalinov, Mikhail A.
2018
Instability in the self-similar motion of a planar solidification front. Zbl 1408.80004
Brosa Planella, Ferran; Please, Colin P.; Van Gorder, Robert A.
2018
The vector derivative nonlinear Schrödinger equation on the half-line. Zbl 1406.35364
Liu, Huan; Geng, Xianguo
2018
Leading-order Stokes flows near a corner. Zbl 1408.76177
Dauparas, Justas; Lauga, Eric
2018
Surface shear horizontal waves in a double-layered nonlinear elastic half space. Zbl 1406.35349
Deliktas, Ekin; Teymur, Mevlut
2018
On the formation of small-time curvature singularities in vortex sheets. Zbl 1408.76124
Page, Michael A.; Cowley, Stephen J.
2018
Simulations of Brownian tracer transport in squirmer suspensions. Zbl 1404.82049
Delmotte, Blaise; Keaveny, Eric E.; Climent, Eric; Plouraboué, Franck
2018
Singularly perturbed profiles. Zbl 1408.80007
Bykov, V.; Cherkinsky, Y.; Gol&rsquo;dshtein, V.; Krapivnik, N.; Maas, U.
2018
Boundary conditions for macroscale waves in an elastic system with microscale heterogeneity. Zbl 1408.74046
Chen, Chen; Roberts, A. J.; Bunder, J. E.
2018
Tree representations of streamline topologies of structurally stable 2D incompressible flows. Zbl 1404.37100
Sakajo, Takashi; Yokoyama, Tomoo
2018
Laplace’s equation for a point source near a sphere: improved internal solution using spheroidal harmonics. Zbl 1481.78001
Majić, Matt R. A.; Auguié, Baptiste; Le Ru, Eric C.
2018
Longitudinal shear flow over a bubble mattress with curved menisci: arbitrary protrusion angle and solid fraction. Zbl 1481.76060
Luca, Elena; Marshall, Jonathan; Karamanis, Georgios
2018
A transform method for the biharmonic equation in multiply connected circular domains. Zbl 1481.35339
Luca, Elena; Crowdy, Darren G.
2018
Torsional instability in a nonlinear isolated model for suspension bridges with fixed cables and extensible hangers. Zbl 07383773
Falocchi, Alessio
2018
On the chordae structure and dynamic behaviour of the mitral valve. Zbl 07383775
Feng, Liuyang; Qi, Nan; Gao, Hao; Sun, Wei; Vazquez, Mariano; Griffith, Boyce E.; Luo, Xiaoyu
2018
Stability in distribution of a three-species stochastic cascade predator-prey system with time delays. Zbl 1404.92158
Liu, Meng; Fan, Meng
2017
On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles. Zbl 1406.35368
Pichler, Monika; Biondini, Gino
2017
Spatio-temporal patterns in a diffusive model with non-local delay effect. Zbl 1404.35036
Guo, Shangjiang
2017
Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control. Zbl 1406.35276
Gomes, Susana N.; Papageorgiou, Demetrios T.; Pavliotis, Grigorios A.
2017
Recovering the potential term in a fractional diffusion equation. Zbl 1405.65112
Zhang, Zhidong; Zhou, Zhi
2017
On the spectral analysis of residual stress in finite elasticity. Zbl 1408.74008
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
2017
Hölder stability of an inverse problem for a strongly coupled reaction-diffusion system. Zbl 1408.35223
Wu, Bin; Yu, Jun
2017
A mixed variational formulation for a piezoelectric frictional contact problem. Zbl 1408.74042
Matei, Andaluzia; Sofonea, Mircea
2017
A reaction-diffusion-advection competition model with two free boundaries in heterogeneous time-periodic environment. Zbl 1404.92146
Chen, Qiaoling; Li, Fengquan; Wang, Feng
2017
Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution. Zbl 1404.35082
Chugainova, Anna P.; Il&rsquo;ichev, Andrey T.; Kulikovskii, Andrey G.; Shargatov, Vladimir A.
2017
Closed-form solution for a circular nano-inhomogeneity with interface effects in an elastic plane under uniform remote heat flux. Zbl 1408.74015
Dai, Ming; Gao, Cun-Fa; Schiavone, Peter
2017
Finite difference methods of the spatial fractional Black-Scholes equation for a European call option. Zbl 1418.91607
Zhao, Hui; Tian, Hongjiong
2017
Limit cycles bifurcating from discontinuous centres. Zbl 1404.37057
de Carvalho Braga, Denis; Carvalho, Tiago; Mello, Luis Fernando
2017
A filtering based multi-innovation gradient estimation algorithm and performance analysis for nonlinear dynamical systems. Zbl 1480.93421
Wang, Yanjiao; Ding, Feng
2017
An analytic solution for gust-aerofoil interaction noise including effects of geometry. Zbl 1408.76340
Ayton, Lorna J.
2017
Radiating solitary waves in coupled Boussinesq equations. Zbl 1404.35089
Grimshaw, R. H. J.; Khusnutdinova, K. R.; Moore, K. R.
2017
A new second-order midpoint approximation formula for Riemann-Liouville derivative: algorithm and its application. Zbl 1471.65019
Ding, Hengfei; Li, Changpin; Yi, Qian
2017
Algorithm for spatio-temporal analysis of the signalling problem. Zbl 1404.35041
Barlow, Nathaniel S.; Helenbrook, Brian T.; Weinstein, Steven J.
2017
Mathematical modelling of thrombin generation: asymptotic analysis and pathway characterization. Zbl 1404.92082
Dunster, J. L.; King, J. R.
2017
An elementary proof of convergence to the mean-field equations for an epidemic model. Zbl 1401.60172
Armbruster, Benjamin; Beck, Ekkehard
2017
Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence. Zbl 1404.92209
Yang, Junyuan; Chen, Yuming; Kuniya, Toshikazu
2017
SVIR epidemic model with age structure in susceptibility, vaccination effects and relapse. Zbl 07383748
Wang, Jinliang; Guo, Min; Liu, Shengqiang
2017
Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking. Zbl 07383750
Li, Xiaofei; Li, Jingzhi; Liu, Hongyu; Wang, Yuliang
2017
Schur complement domain decomposition methods for the solution of multiple scattering problems. Zbl 1480.65362
Pedneault, Michael; Turc, Catalin; Boubendir, Yassine
2017
Mathematical modelling of contact Lens moulding. Zbl 1406.35292
Murphy, Ellen A.; Lee, William T.
2017
Birth of limit cycles from a 3D triangular center of a piecewise smooth vector field. Zbl 1408.34018
Carvalho, Tiago; Euzébio, Rodrigo D.; Teixeira, Marco Antonto; Tonon, Durval José
2017
Shape of transition layers in a differential-delay equation. Zbl 1406.34086
Wattis, Jonathan A. D.
2017
On the blow-up of some complex solutions of the 3D Navier-Stokes equations: theoretical predictions and computer simulations. Zbl 1404.35063
Boldrighini, C.; Frigio, S.; Maponi, P.
2017
Solitary gravity waves and free surface flows past a point vortex. Zbl 1408.76108
Doak, Alex; Vanden-Broeck, Jean-Marc
2017
...and 1100 more Documents
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### Cited by 9,041 Authors

 35 Liu, Fawang 31 Lesnic, Daniel 30 Fokas, Athanassios S. 29 Mu, Chunlai 28 Quintanilla de Latorre, Ramón 26 Li, Wan-Tong 26 Nazarov, Sergeĭ 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, Concepción 21 Qu, Changzheng 20 Ogden, Raymond William 20 O’Regan, Donal 19 Agarwal, Ravi P. 19 Slodička, 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, Hélène 12 Coman, Ciprian D. 12 Dassios, George 12 Dehghan Takht Fooladi, Mehdi 12 Il’ichev, Andreĭ Teĭmurazovich 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 Inês 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
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### 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 für 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
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### 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)