## 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: 1,733 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. 11 Papageorgiou, Demetrios T. 10 Needham, David John 10 Wake, Graeme Charles 9 Bassom, Andrew P. 9 Billingham, John 9 Crowdy, Darren Gregory 9 Liu, Fawang 9 Mulholland, Anthony J. 9 Sleeman, Brian David 9 Vanden-Broeck, Jean-Marc 8 Craster, Richard V. 8 Johansson, B. Tomas 8 Jones, Douglas Samuel 8 Lesnic, Daniel 8 Pipkin, Allen C. 8 Please, Colin P. 7 Atkinson, Colin 7 Cade, R. 7 Constanda, Christian 7 Decent, Stephen P. 7 Fokas, Athanassios S. 7 Howe, Michael S. 7 Kriegsmann, Gregory A. 7 Leach, Jannie A. 7 Muñoz Rivera, Jaime Edilberto 7 Ogden, Raymond William 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 Cox, Stephen Michael 6 Daniels, P. G. 6 Dassios, George 6 Gol’dshtein, Vladimir Mikhailovich 6 Graham-Eagle, James 6 Jansons, Kalvis M. 6 Kaplunov, Julius D. 6 Knobloch, Edgar 6 Leppington, Frank G. 6 McKee, Sean 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. 6 Yan, Guozheng 5 Anh, Vo V. 5 Blake, John Robert 5 Budd, Christopher John 5 Chapman, Stephen Jonathan 5 Choi, Yung-Sze 5 Fowler, Andrew C. 5 Herbert, D. M. 5 Howison, Samuel Dexter 5 Kalliadasis, Serafim 5 Keady, Grant 5 Lyalinov, Mikhail Anatolievich 5 McIntosh, Andy C. 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 Bürger, Raimund 4 Bykov, Viatcheslav 4 Chen, Hua 4 Chudinovich, Igor Yuryevich 4 Diehl, Stefan 4 Edwards, David Alan 4 Fitt, Alistair D. 4 Goldfarb, Igor 4 Gottlieb, H. P. W. 4 Grindrod, Peter 4 Horgan, Cornelius Oliver 4 Ingham, Derek Binns 4 Kay, Anthony 4 King, Andrew C. 4 Lawrie, Jane B. 4 Liu, Hongyu 4 Maas, Ulrich ...and 2,208 more Authors
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### Fields

 774 Partial differential equations (35-XX) 564 Fluid mechanics (76-XX) 357 Mechanics of deformable solids (74-XX) 194 Biology and other natural sciences (92-XX) 162 Classical thermodynamics, heat transfer (80-XX) 154 Numerical analysis (65-XX) 149 Ordinary differential equations (34-XX) 142 Optics, electromagnetic theory (78-XX) 78 Dynamical systems and ergodic theory (37-XX) 72 Statistical mechanics, structure of matter (82-XX) 53 Integral equations (45-XX) 39 Systems theory; control (93-XX) 38 Probability theory and stochastic processes (60-XX) 38 Geophysics (86-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 30 Mechanics of particles and systems (70-XX) 29 Special functions (33-XX) 29 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) 18 Operations research, mathematical programming (90-XX) 17 Integral transforms, operational calculus (44-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Approximations and expansions (41-XX) 15 Computer science (68-XX) 15 Quantum theory (81-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) 7 Statistics (62-XX) 6 Combinatorics (05-XX) 6 Measure and integration (28-XX) 5 Functional analysis (46-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

1,227 Publications have been cited 8,925 times in 7,825 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
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 Cauchy problem for Laplace’s equation via the conjugate gradient method. Zbl 0967.35032
Dinh Nho Hào; Lesnic, D.
2000
Particle trajectories in extreme Stokes waves. Zbl 1250.35150
2012
Rates of decay to weak thermoelastic Bresse system. Zbl 1209.80005
Fatori, Luci Harue; Muñoz Rivera, Jaime E.
2010
Theory of two-temperature generalized thermoelasticity. Zbl 1115.74019
Youssef, H. M.
2006
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
Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model. Zbl 1267.35236
Li, Xin; Jiang, Weihua; Shi, Junping
2013
New methods for ordinary differential equations. Zbl 1065.34006
Muriel, C.; Romero, J. L.
2001
On the high Reynolds number theory of laminar flows. Zbl 0494.76042
Smith, F. T.
1982
On the weakly competitive case in a two-species chemotaxis model. Zbl 1404.35033
Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki
2016
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
Impulse, flow force and variational principles. Zbl 0584.76001
Benjamin, T. Brooke
1984
A new transform method for evolution partial differential equations. Zbl 1028.35009
Fokas, A. S.
2002
The denseness of the far field patterns for the transmission problem. Zbl 0652.35104
Kirsch, Andreas
1986
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376
Shi, Hong-Bo; Ruan, Shigui
2015
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
On surface waves and deformations in a pre-stressed incompressible elastic solid. Zbl 0706.73018
Dowaikh, M. A.; Ogden, R. W.
1990
On an attraction-repulsion chemotaxis system with a logistic source. Zbl 1336.35338
Li, Xie; Xiang, Zhaoyin
2016
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
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
Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060
Arrigo, D. J.; Hill, J. M.; Broadbridge, P.
1994
Stability in distribution of a three-species stochastic cascade predator-prey system with time delays. Zbl 1404.92158
Liu, Meng; Fan, Meng
2017
Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays. Zbl 1316.34079
Li, Xiaodi; O’Regan, Donal; Akca, Haydar
2015
High-order nonlinear diffusion. Zbl 0694.35091
Smyth, N. F.; Hill, J. M.
1988
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
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
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
The Riemann problem for the pressureless Euler system with the Coulomb-like friction term. Zbl 1336.35281
Shen, Chun
2016
Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086
Colton, David; Sleeman, B. D.
1983
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
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
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
On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles. Zbl 1406.35368
Pichler, Monika; Biondini, Gino
2017
On the far-field operator in elastic obstacle scattering. Zbl 1141.35429
Alves, Carlos J. S.; Kress, Rainer
2002
The Riesz basis property of a Timoshenko beam with boundary feedback and application. Zbl 1136.74343
Xu, Gen-Qi; Feng, De-Xing
2002
Razumikhin-type theorems on exponential stability of impulsive delay systems. Zbl 1128.34047
Liu, Bin; Liu, Xinzhi; Teo, Kok Lay; Wang, Qing
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
The dynamics of an SVIR epidemiological model with infection age. Zbl 1338.35429
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2016
The similarity method for difference equations. Zbl 0631.39003
Maeda, Shigeru
1987
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
Non-linear waves in lattices: past, present, future. Zbl 1230.37099
Kevrekidis, P. G.
2011
Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling. Zbl 0911.92028
Ruan, Shigui
1998
Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate. Zbl 0923.76306
Rees, D. A. S.; Pop, I.
1998
Asymptotic behaviour of ground state solutions for the Hénon equation. Zbl 1169.35377
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2009
A Lobatto interpolation grid over the triangle. Zbl 1114.41001
Blyth, M. G.; Pozrikidis, C.
2006
The formation of freckles in binary alloys. Zbl 0606.76110
Fowler, A. C.
1985
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
Poroelastic materials reinforced by statistically oriented fibres – numerical implementation and application to articular cartilage. Zbl 1299.74171
Tomic, Aleksandar; Grillo, Alfio; Salvatore, Federico
2014
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008
Antoine, Xavier
2001
Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation. Zbl 0858.35062
Sherratt, Jonathan A.; Marchant, Ben P.
1996
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
Constructive methods for factorization of matrix-functions. Zbl 1338.15035
2016
Monotone wave-fronts in a structured population model with distributed maturation delay. Zbl 1086.92043
Al-Omari, J. F. M.; Gourley, S. A.
2005
A bound for the temperature in the thermistor problem. Zbl 0694.35139
Cimatti, Giovanni
1988
Soliton solutions of non-linear evolution equations. Zbl 0542.35079
Freeman, N. C.
1984
Electromagnetic scattering by a homogeneous chiral obstacle in a chiral environment. Zbl 1064.78006
Athanasiadis, Christodoulos; Costakis, George; Stratis, Ioannis G.
2000
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
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
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
Similarity solutions of a generalized Burgers equation. Zbl 0711.35117
Doyle, J.; Englefield, M. J.
1990
A point source method for inverse acoustic and electromagnetic obstacle scattering problems. Zbl 0912.76083
Potthast, Roland
1998
Periodic waves with constant vorticity in water of infinite depth. Zbl 0860.76014
Vanden-Broeck, J.-M.
1996
The completed double layer boundary integral equation method for two- dimensional Stokes flow. Zbl 0797.76013
Power, Henry
1993
The structure of overall constitutive relations for a class of nonlinear composites. Zbl 0695.73005
Willis, J. R.
1989
Stochastic ordinary differential equations in applied and computational mathematics. Zbl 1221.60099
Higham, Desmond J.
2011
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
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
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
Transmission problem in thermoelasticity with symmetry. Zbl 1060.74019
Marzocchi, Alfredo; Muñoz Rivera, Jaime E.; Naso, Maria Grazia
2003
A variational method for wave scattering from penetrable rough layers. Zbl 1205.78024
Lechleiter, Armin; Ritterbusch, Sebastian
2010
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
Electroelastic waves in a finitely deformed electroactive material. Zbl 1202.74043
Dorfmann, A.; Ogden, R. W.
2010
Inflation and bifurcation of thick-walled compressible elastic spherical shells. Zbl 0649.73021
Haughton, D. M.
1987
Singular solutions for the shallow-water equations. Zbl 1257.35123
Kalisch, Henrik; Mitrovic, Darko
2012
Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system. Zbl 1201.34132
Yuan, Sanling; Song, Yongli
2009
Global stability for penetrative convection with throughflow in a porous material. Zbl 1129.76022
Hill, A. A.; Rionero, S.; Straughan, B.
2007
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
The application of Padé approximants to Wiener-Hopf factorization. Zbl 0969.65120
Abrahams, I. David
2000
Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013
Markowich, Peter A.; Schmeiser, Christian
1986
Reactive infiltration instabilities. Zbl 0619.76116
Chadam, J.; Hoff, D.; Merino, E.; Ortoleva, P.; Sen, A.
1986
Existence and qualitative properties of concentrating solutions for the sinh-Poisson equation. Zbl 1154.35072
Bartolucci, Daniele; Pistoia, Angela
2007
$$C^\infty$$-symmetries and non-solvable symmetry algebras. Zbl 1006.34032
Muriel, C.; Romero, J. L.
2001
Global stability of an epidemic model with carrier state in heterogeneous networks. Zbl 1330.92122
Cao, Jinde; Wang, Yi; Alofi, Abdulaziz; Al-Mazrooei, Abdullah; Elaiw, Ahmed
2015
Traveling wave fronts in a diffusive epidemic model with multiple parallel infectious stages. Zbl 1406.35444
Zhao, Lin; Wang, Zhi-Cheng
2016
Spatio-temporal patterns in a diffusive model with non-local delay effect. Zbl 1404.35036
Guo, Shangjiang
2017
On desingularization of steady vortex for the lake equations. Zbl 07506429
Cao, Daomin; Zhan, Weicheng; Zou, Changjun
2022
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions. Zbl 1486.91063
Goddard, B. D.; Gooding, B.; Short, H.; Pavliotis, G. A.
2022
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 1486.35126
Yang, Bo; Yang, Jianke
2021
Localized patterns and semi-strong interaction, a unifying framework for reaction-diffusion systems. Zbl 1480.92092
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
Longitudinal thermocapillary slip about a dilute periodic mattress of protruding bubbles. Zbl 1471.76079
Yariv, Ehud; Kirk, Toby L.
2021
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area. Zbl 1471.76088
Bürger, Raimund; Careaga, Julio; Diehl, Stefan
2021
Snaking bifurcations of localized patterns on ring lattices. Zbl 07452522
Tian, Moyi; Bramburger, Jason J.; Sandstede, Björn
2021
Radiation of sound waves from a coaxial duct with perforated screen. Zbl 1482.76110
Tiryakioglu, Burhan; Tiryakioglu, Ayse
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
Steady slip flow of Newtonian fluids through tangential polygonal microchannels. Zbl 1471.76029
2021
Stationary peaks in a multivariable reaction-diffusion system : foliated snaking due to subcritical Turing instability. Zbl 1480.92095
Knobloch, Edgar; Yochelis, Arik
2021
The maximum likelihood ensemble filter for computational flame and fluid dynamics. Zbl 1481.76173
Wang, Yijun; Guzik, Stephen; Zupanski, Milija; Gao, Xinfeng
2021
Explicit superposed and forced plane wave generalized Beltrami flows. Zbl 1481.76061
Prugger, Artur; Rademacher, Jens D. M.
2021
Torsional rigidity for tangential polygons. Zbl 1501.35391
2021
Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index. Zbl 1491.78008
Balac, Stéphane; Dauge, Monique; Moitier, Zoïs
2021
Behaviour of solutions to the 1D focusing stochastic $$L^2$$-critical and supercritical nonlinear Schrödinger equation with space-time white noise. Zbl 1492.35316
Millet, Annie; Roudenko, Svetlana; Yang, Kai
2021
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
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
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
Steady states of thin film droplets on chemically heterogeneous substrates. Zbl 1460.35025
Liu, Weifan; Witelski, Thomas P.
2020
Fractional phase-field crystal modelling: analysis, approximation and pattern formation. Zbl 1443.74160
Ainsworth, Mark; Mao, Zhiping
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
Kuwabara-Kono numerical dissipation: a new method to simulate granular matter. Zbl 1433.74038
James, Guillaume; Vorotnikov, Kirill; Brogliato, Bernard
2020
Time-harmonic elastic singularities and oscillating indentation of layered solids. Zbl 1460.74032
Yu, H. Y.; Lee, Sanboh
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
Free-stream coherent structures in the unsteady Rayleigh boundary layer. Zbl 1460.76295
Johnstone, Eleanor C.; Hall, Philip
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
Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities. Zbl 1457.76162
Guo, Hongxia; Gui, Changfeng; Lin, Ping; Zhao, Mingfeng
2020
On the stability of waves in classically neutral flows. Zbl 1447.76014
Huber, Colin; Hoitt, Meaghan; Barlow, Nathaniel S.; Hill, Nicole; Keithley, Kimberlee; Weinstein, Steven J.
2020
High-contrast approximation for penetrable wedge diffraction. Zbl 1448.78032
Nethercote, M. A.; Assier, R. C.; Abrahams, I. D.
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
Asymptotics of the eigenmodes and stability of an elastic structure with general feedback matrix. Zbl 1427.93073
Shubov, Marianna A.; Kindrat, Laszlo P.
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
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
Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary. Zbl 1471.76013
Anguiano, María; Suárez-Grau, Francisco Javier
2019
Modulated amplitude waves with non-trivial phase of multi-component Bose-Einstein condensates in optical lattices. Zbl 1484.82025
Liu, Qihuai; Torres, Pedro J.; Xing, Mingyan
2019
The electromagnetic scattering problem by a cylindrical doubly connected domain at oblique incidence: the direct problem. Zbl 1475.78005
Mindrinos, Leonidas
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
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
Geometric quantization of localized surface plasmons. Zbl 1484.82060
Schnitzer, Ory
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
Analysis of random walks on a hexagonal lattice. Zbl 1432.60068
Di Crescenzo, Antonio; Macci, Claudio; Martinucci, Barbara; Spina, Serena
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
The uniqueness and stability of travelling fronts of competitive systems with different diffusive coefficients. Zbl 1471.35081
Wang, Yang; Shi, Lingling; Liu, Guirong; Ma, Zhaohai
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
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
Lyapunov regularity and stability of linear non-instantaneous impulsive differential systems. Zbl 1476.34056
Wang, JinRong; Li, Mengmeng; O&rsquo;Regan, Donal
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
Surface shear horizontal waves in a double-layered nonlinear elastic half space. Zbl 1406.35349
Deliktas, Ekin; Teymur, Mevlut
2018
Analysis of an age-structured HIV infection model with logistic target-cell growth and antiretroviral therapy. Zbl 1485.92171
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
The vector derivative nonlinear Schrödinger equation on the half-line. Zbl 1406.35364
Liu, Huan; Geng, Xianguo
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
Leading-order Stokes flows near a corner. Zbl 1408.76177
Dauparas, Justas; Lauga, Eric
2018
A transform method for the biharmonic equation in multiply connected circular domains. Zbl 1481.35339
Luca, Elena; Crowdy, Darren G.
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
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
Strong solvability of regularized stochastic Landau-Lifshitz-Gilbert equation. Zbl 1408.82014
Chugreeva, Olga; Melcher, Christof
2018
The factorization method for the inverse obstacle scattering problem with oblique derivative boundary condition. Zbl 1408.35222
Wang, Yan; Guo, Jun; Yan, Guozheng
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
Torsional instability in a nonlinear isolated model for suspension bridges with fixed cables and extensible hangers. Zbl 1486.74072
Falocchi, Alessio
2018
On the chordae structure and dynamic behaviour of the mitral valve. Zbl 1485.92017
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
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### Cited by 9,747 Authors

 36 Liu, Fawang 33 Lesnic, Daniel 32 Mu, Chunlai 31 Fokas, Athanassios S. 30 Quintanilla de Latorre, Ramón 27 Li, Wan-Tong 26 Nazarov, Sergeĭ Aleksandrovich 26 Xu, Gen-Qi 26 Zayed, Elsayed M. E. 25 Turner, Ian William 25 Wang, Zhi Cheng 24 Steigmann, David J. 24 Weng, Peixuan 23 Fernández, Jose Ramon 23 Muriel, Concepción 22 Ponte Castañeda, Pedro 21 O’Regan, Donal 21 Qu, Changzheng 20 Hill, James Murray 20 Ogden, Raymond William 19 Agarwal, Ravi P. 19 Bassom, Andrew P. 19 Muñoz Rivera, Jaime Edilberto 19 Slodička, Marián 18 Colli, Pierluigi 18 Johansson, B. Tomas 18 Liu, Hongyu 18 Nguyen Huy Tuan 18 Pop, Ioan 18 Wang, Mingxin 17 Abrahams, I. David 17 Athanasiadis, Christodoulos E. 17 Guo, Shangjiang 17 Hu, Guanghui 17 Kovtunenko, Viktor Anatolievich 17 Krutitskii, Pavel A. 17 Merkin, John H. 16 Fu, Chuli 16 King, John Robert 16 Miranville, Alain M. 16 Sherratt, Jonathan A. 16 Sun, Zhizhong 16 Yu, Zhixian 15 Chen, Xinfu 15 Frigaard, Ian A. 15 Gao, David Yang 15 Papageorgiou, Demetrios T. 15 Tarzia, Domingo Alberto 15 Wang, Xu 15 Yin, Zhaoyang 14 Antoine, Xavier 14 Cao, Jinde 14 Coman, Ciprian D. 14 Constanda, Christian 14 Han, Zhongjie 14 Li, Xiaodi 14 Rogerson, Graham A. 14 Ruan, Shigui 14 Witelski, Thomas P. 14 Yang, Xiaofeng 13 Arrigo, Daniel J. 13 Broadbridge, Philip 13 Djellouli, Rabia 13 Fan, Engui 13 Lin, Guo 13 Lyalinov, Mikhail Anatolievich 13 McCue, Scott William 13 Rajagopal, Kumbakonam Ramamani 13 Rionero, Salvatore 13 Srivastava, Hari Mohan 13 Tian, Bo 12 Anh, Vo V. 12 Barucq, Hélène 12 Blyth, Mark G. 12 Crowdy, Darren Gregory 12 Dassios, George 12 Dehghan Takht Fooladi, Mehdi 12 Il’ichev, Andreĭ Teĭmurazovich 12 Kaplunov, Julius D. 12 Kress, Rainer 12 Liu, Zhijun 12 Marin, Liviu 12 Murphy, Jeremiah G. 12 Okamoto, Hisashi 12 Pop, Iuliu Sorin 12 Schiavone, Peter 12 Song, Yongli 12 Vanden-Broeck, Jean-Marc 12 Wang, Weiming 12 Wei, Junjie 12 Wei, Ting 12 Xu, Zhaoquan 12 Yuan, Rong 11 Bustamante, Roger 11 Chudinovich, Igor Yuryevich 11 Copetti, Maria Inês M. 11 Hall, Philip 11 Han, Weimin 11 Hayat, Tasawar 11 Hocking, Graeme Charles ...and 9,647 more Authors
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### Cited in 566 Journals

 268 Journal of Mathematical Analysis and Applications 237 Journal of Fluid Mechanics 237 Applied Mathematics and Computation 179 Journal of Differential Equations 166 ZAMP. Zeitschrift für angewandte Mathematik und Physik 162 Journal of Computational and Applied Mathematics 153 Journal of Engineering Mathematics 149 Journal of Computational Physics 129 Computers & Mathematics with Applications 127 Wave Motion 119 Applicable Analysis 117 Mathematics and Mechanics of Solids 113 Nonlinear Analysis. Real World Applications 105 Physica D 104 Applied Mathematics Letters 103 Applied Mathematical Modelling 102 Mathematical Methods in the Applied Sciences 102 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 97 Journal of Mathematical Physics 93 Discrete and Continuous Dynamical Systems. Series B 87 Journal of the Mechanics and Physics of Solids 85 Computer Methods in Applied Mechanics and Engineering 84 Acta Mechanica 82 International Journal of Engineering Science 81 European Journal of Applied Mathematics 79 Communications in Nonlinear Science and Numerical Simulation 69 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 67 Advances in Difference Equations 66 SIAM Journal on Applied Mathematics 65 Applied Numerical Mathematics 65 Journal of Elasticity 62 Physics of Fluids 59 Chaos, Solitons and Fractals 58 Engineering Analysis with Boundary Elements 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 Nonlinear Dynamics 46 European Journal of Mechanics. B. Fluids 45 Mathematical and Computer Modelling 44 Quarterly of Applied Mathematics 42 Archive for Rational Mechanics and Analysis 42 Journal of Scientific Computing 42 Journal of Nonlinear Mathematical Physics 42 Communications on Pure and Applied Analysis 40 Acta Applicandae Mathematicae 40 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 39 Mathematical Problems in Engineering 39 Boundary Value Problems 38 SIAM Journal on Mathematical Analysis 38 Abstract and Applied Analysis 37 Bulletin of Mathematical Biology 37 Mathematical Biosciences and Engineering 35 Journal of Mathematical Biology 34 Journal of Mathematical Sciences (New York) 33 Numerische Mathematik 33 European Journal of Mechanics. A. Solids 33 International Journal of Biomathematics 31 Inverse Problems 31 Numerical Algorithms 31 Journal of Inverse and Ill-Posed Problems 31 Nonlinear Analysis. Theory, Methods & Applications 30 Meccanica 30 Discrete and Continuous Dynamical Systems. Series S 29 Journal of Dynamics and Differential Equations 28 Physica A 28 International Journal of Computer Mathematics 28 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 28 The ANZIAM Journal 27 Mathematics and Computers in Simulation 27 Continuum Mechanics and Thermodynamics 27 AIMS Mathematics 26 Journal of Nonlinear Science 26 Advances in Mathematical Physics 25 Inverse Problems and Imaging 25 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 24 Japan Journal of Industrial and Applied Mathematics 24 Journal of Mathematical Chemistry 23 Computers and Fluids 23 Journal of Integral Equations and Applications 22 Journal of Applied Mathematics and Computing 21 Nonlinearity 21 Computational Mechanics 21 Numerical Methods for Partial Differential Equations 21 Chaos 21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 21 Journal of Theoretical Biology 20 Acta Mathematicae Applicatae Sinica. English Series 20 SIAM Journal on Scientific Computing 20 Waves in Random and Complex Media 19 Journal of the Franklin Institute 19 Rocky Mountain Journal of Mathematics 19 Applied Mathematics and Optimization 19 Applied Mathematics and Mechanics. (English Edition) 19 Discrete Dynamics in Nature and Society 18 Mathematics of Computation 18 Communications in Partial Differential Equations 18 Computational and Applied Mathematics ...and 466 more Journals
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### Cited in 59 Fields

 3,925 Partial differential equations (35-XX) 1,757 Fluid mechanics (76-XX) 1,611 Mechanics of deformable solids (74-XX) 1,368 Numerical analysis (65-XX) 1,085 Biology and other natural sciences (92-XX) 788 Ordinary differential equations (34-XX) 468 Dynamical systems and ergodic theory (37-XX) 413 Classical thermodynamics, heat transfer (80-XX) 388 Optics, electromagnetic theory (78-XX) 288 Systems theory; control (93-XX) 243 Operator theory (47-XX) 224 Integral equations (45-XX) 207 Calculus of variations and optimal control; optimization (49-XX) 204 Statistical mechanics, structure of matter (82-XX) 179 Probability theory and stochastic processes (60-XX) 126 Real functions (26-XX) 120 Geophysics (86-XX) 103 Special functions (33-XX) 91 Mechanics of particles and systems (70-XX) 89 Functions of a complex variable (30-XX) 84 Difference and functional equations (39-XX) 84 Global analysis, analysis on manifolds (58-XX) 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 68 Harmonic analysis on Euclidean spaces (42-XX) 66 Operations research, mathematical programming (90-XX) 59 Quantum theory (81-XX) 56 Approximations and expansions (41-XX) 56 Integral transforms, operational calculus (44-XX) 54 Potential theory (31-XX) 51 Functional analysis (46-XX) 44 Information and communication theory, circuits (94-XX) 37 Computer science (68-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 26 Differential geometry (53-XX) 24 Statistics (62-XX) 19 History and biography (01-XX) 19 Combinatorics (05-XX) 17 Number theory (11-XX) 14 General and overarching topics; collections (00-XX) 12 Topological groups, Lie groups (22-XX) 11 Measure and integration (28-XX) 9 Astronomy and astrophysics (85-XX) 8 Algebraic geometry (14-XX) 7 Nonassociative rings and algebras (17-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 4 Geometry (51-XX) 3 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)