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European Journal of Applied Mathematics

Short Title: Eur. J. Appl. Math.
Publisher: Cambridge University Press, Cambridge
ISSN: 0956-7925; 1469-4425/e
Online: https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/all-issues
Comments: Journal; Indexed cover-to-cover; incorporated: Surveys on Mathematics for Industry (ISSN 0938-1953)
Documents Indexed: 1,108 Publications (since 1990)
References Indexed: 732 Publications with 20,649 References.
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Latest Issues

34, No. 5 (2023)
34, No. 3 (2023)
33, No. 6 (2022)
33, No. 5 (2022)
33, No. 4 (2022)
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21, No. 6 (2010)
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18, No. 6 (2007)
18, No. 5 (2007)
18, No. 4 (2007)
18, No. 3 (2007)
18, No. 2 (2007)
18, No. 1 (2007)
17, No. 6 (2006)
17, No. 5 (2006)
17, No. 4 (2006)
...and 87 more Volumes
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Authors

28 King, John Robert
24 Ward, Michael J.
14 Chapman, Stephen Jonathan
14 Howison, Samuel Dexter
12 Wei, Juncheng
11 Chen, Xinfu
10 Cummings, Linda J.
10 Knessl, Charles
10 Lacey, Andrew A.
10 Richardson, Giles W.
9 Kolokolnikov, Theodore
9 Please, Colin Peter
9 Richardson, Stanley
8 Galaktionov, Victor Aleksandrovich
8 Hocking, Graeme Charles
8 Matkowsky, Bernard J.
8 Movchan, Alexander B.
7 Anco, Stephen C.
7 Entov, Vladimir M.
7 Ockendon, John R.
7 Peletier, Lambertus Adrianus
7 Shearer, Michael
7 Tew, Richard H.
7 Vanden-Broeck, Jean-Marc
6 Bertsch, Michiel
6 Bluman, George Wallace
6 Burger, Martin
6 Cherniha, Roman M.
6 Elliott, Charles M.
6 Forbes, Lawrence K.
6 Gourley, Stephen A.
6 Hulshof, Josephus
6 Prokert, Georg
6 Shillor, Meir
6 Sofonea, Mircea
6 Vazquez, Juan Luis
6 Winkler, Michael
6 Witelski, Thomas P.
5 Bertozzi, Andrea Louise
5 Byrne, Helen Mary
5 Etingof, Pavel Il’ich
5 Foster, Jamie M.
5 Grinfeld, Michael
5 Hastings, Stuart P.
5 Howell, Peter D.
5 Kuske, Rachel A.
5 Painter, Kevin J.
5 Primicerio, Mario
5 Smith, Frank T.
5 Tzou, Justin C.
5 van Duijn, Cornelis Johannes
5 Velázquez, Juan J. L.
5 Wagner, Barbara A.
4 Ammari, Habib
4 Aronson, Donald G.
4 Blowey, James F.
4 Bowen, Mark
4 Byatt-Smith, John G. B.
4 Chadam, John M.
4 Cimatti, Giovanni
4 Crowdy, Darren Gregory
4 Evans, Jonathan David
4 Friedman, Avner
4 Glasner, Karl B.
4 Gnann, Manuel V.
4 Greenberg, James M.
4 Hilhorst, Danielle
4 Hillen, Thomas
4 Iron, David
4 Kang, Hyeonbae
4 Migórski, Stanisław
4 Mimura, Masayasu
4 Münch, Andreas
4 Ockendon, Hilary
4 Oliver, James M.
4 Peletier, Mark Adriaan
4 Short, Martin B.
4 Terrill, E. L.
4 van den Berg, Jan Bouwe
4 Volpert, Vitaly A.
4 Wake, Graeme Charles
4 Wilson, Stephen Kenneth
3 Aftalion, Amandine
3 Almog, Yaniv
3 Aslanyan, A. G.
3 Atkinson, Colin
3 Barenblatt, Grigory Isaakovich
3 Bayada, Guy
3 Brubaker, Nicholas D.
3 Cheb-Terrab, Edgardo S.
3 Chugunova, Marina A.
3 Ciuperca, Ionel Sorin
3 Clarkson, Peter A.
3 Craster, Richard V.
3 Da Costa, Fernando Pestana
3 Danilov, Vladimir G.
3 Davis, Stephen Howard
3 Davydovych, Vasyl V.
3 Du, Qiang
3 Duffy, Brian Reginald
...and 1,509 more Authors
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Fields

609 Partial differential equations (35-XX)
349 Fluid mechanics (76-XX)
134 Biology and other natural sciences (92-XX)
130 Mechanics of deformable solids (74-XX)
111 Statistical mechanics, structure of matter (82-XX)
97 Ordinary differential equations (34-XX)
89 Classical thermodynamics, heat transfer (80-XX)
83 Numerical analysis (65-XX)
70 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
61 Optics, electromagnetic theory (78-XX)
59 Probability theory and stochastic processes (60-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
44 Dynamical systems and ergodic theory (37-XX)
36 Computer science (68-XX)
24 Operations research, mathematical programming (90-XX)
24 Systems theory; control (93-XX)
21 Functions of a complex variable (30-XX)
20 Geophysics (86-XX)
19 Integral equations (45-XX)
19 Statistics (62-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Information and communication theory, circuits (94-XX)
15 General and overarching topics; collections (00-XX)
13 Combinatorics (05-XX)
12 Operator theory (47-XX)
9 Approximations and expansions (41-XX)
9 Differential geometry (53-XX)
6 Special functions (33-XX)
6 Mechanics of particles and systems (70-XX)
6 Quantum theory (81-XX)
5 History and biography (01-XX)
5 Measure and integration (28-XX)
4 Difference and functional equations (39-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Functional analysis (46-XX)
3 Integral transforms, operational calculus (44-XX)
2 Nonassociative rings and algebras (17-XX)
2 Potential theory (31-XX)
2 Sequences, series, summability (40-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

910 Publications have been cited 10,404 times in 8,401 Documents Cited by Year
Blow-up in a chemotaxis model without symmetry assumptions. Zbl 1017.92006
Horstmann, Dirk; Wang, Guofang
302
2001
Symmetry-based algorithms to relate partial differential equations. I: Local symmetries. Zbl 0718.35003
Bluman, G. W.; Kumei, S.
213
1990
Direct construction method for conservation laws of partial differential equations. I: Examples of conservation law classifications. Zbl 1034.35070
Anco, Stephen C.; Bluman, George
204
2002
Direct construction method for conservation laws of partial differential equations. II: General treatment. Zbl 1034.35071
Anco, Stephen C.; Bluman, George
188
2002
Propagation of frontal polymerization-crystallization waves. Zbl 0805.35143
Volpert, Vit.; Volpert, Vl.
181
1994
Symmetry-based algorithms to relate partial differential equations. II: Linearization by nonlocal symmetries. Zbl 0718.35004
Bluman, G. W.; Kumei, S.
179
1990
On the generalized pantograph functional-differential equation. Zbl 0767.34054
Iserles, A.
131
1993
Mathematics of thermoacoustic tomography. Zbl 1185.35327
Kuchment, Peter; Kunyansky, Leonid
116
2008
Some mathematical results in the pricing of American options. Zbl 0797.60051
Dewynne, J. N.; Howison, S. D.; Rupf, I.; Wilmott, P.
112
1993
The Cahn-Hilliard equation with a concentration dependent mobility: Motion by minus the Laplacian of the mean curvature. Zbl 0861.35039
Cahn, J. W.; Elliott, C. M.; Novick-Cohen, A.
109
1996
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. I: Mathematical analysis. Zbl 0797.35172
Blowey, J. F.; Elliott, C. M.
108
1991
Thin film epitaxy with or without slope selection. Zbl 1059.35059
Li, Bo; Liu, Jian-Guo
92
2003
A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001
Burger, Martin; Osher, Stanley J.
90
2005
On single interior spike solutions of the Gierer-Meinhardt system: Uniqueness and spectrum estimates. Zbl 1014.35005
Wei, Juncheng
85
1999
Convergence of the phase field model to its sharp interface limits. Zbl 0930.35024
Caginalp, Gunduz; Chen, Xinfu
79
1998
A comparison of four approaches to the calculation of conservation laws. Zbl 1002.35008
Wolf, Thomas
75
2002
Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016
Byrne, H. M.; Chaplain, M. A. J.
75
1997
Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory. Zbl 1253.82089
Majumdar, Apala
70
2010
Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A.
69
1999
A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018
Alberti, Giovanni; Bellettini, Giovanni
66
1998
Complex variable methods in Hele-Shaw moving boundary problems. Zbl 0759.76022
Howison, S. D.
66
1992
Remarks on the blowup and global existence for a two species chemotactic Keller-Segel system in \(\mathbb R^{2}\). Zbl 1241.35025
Conca, Carlos; Espejo, Elio; Vilches, Karina
66
2011
Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505
Esedoglu, Selim; Shen, Jianhong
64
2002
History-dependent quasi-variational inequalities arising in contact mechanics. Zbl 1226.49012
Sofonea, Mircea; Matei, Andaluzia
64
2011
Well-posedness of two-phase Hele-Shaw flow without surface tension. Zbl 1076.76027
Ambrose, David M.
62
2004
On a diffuse interface model of tumour growth. Zbl 1375.92031
Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta
61
2015
Solving parametric PDE problems with artificial neural networks. Zbl 1501.65154
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
61
2021
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald; Lam, Kei Fong
59
2017
Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007
Constantin, Adrian; Escher, Joachim
58
2004
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. II: Numerical analysis. Zbl 0810.35158
Blowey, J. F.; Elliott, C. M.
56
1992
Solutions for the two-phase Stefan problem with the Gibbs-Thomson law for the melting temperature. Zbl 0734.35159
Luckhaus, Stephan
56
1990
An \(n\)-populations model for traffic flow. Zbl 1143.82323
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.
54
2003
Multi-components chemotactic system in the absence of conflicts. Zbl 1008.92008
Wolansky, G.
54
2002
How to construct the discrete symmetries of partial differential equations. Zbl 1035.35005
Hydon, P. E.
52
2000
On the Bean critical-state model in superconductivity. Zbl 0873.49007
Prigozhin, L.
49
1996
Thermal runaway in a non-local problem modelling Ohmic heating. I: Model derivation and some special cases. Zbl 0843.35008
Lacey, A. A.
47
1995
Variational model of sandpile growth. Zbl 0913.73079
Prigozhin, Leonid
46
1996
Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems. Zbl 1439.74230
Sofonea, Mircea; Han, Weimin; Migórski, Stanisław
44
2015
Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion. Zbl 1505.35040
Jin, Hai-Yang; Wang, Zhi-An
44
2021
Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution. Zbl 0768.35001
Reid, Gregory J.
44
1991
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023
Amick, C. J.; Toland, J. F.
44
1992
Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps. Zbl 1090.35070
Kolokolnikov, T.; Titcombe, M. S.; Ward, M. J.
44
2005
Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion. Zbl 1504.35072
Li, Huicong; Peng, Rui; Xiang, Tian
42
2020
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
42
2013
Reduction of systems of nonlinear partial differential equations to simplified involutive forms. Zbl 0892.35041
Reid, Gregory J.; Wittkopf, Allan D.; Boulton, Alan
42
1996
Singular perturbation analysis of the steady-state Poisson-Nernst-Planck system: Applications to ion channels. Zbl 1145.92010
Singer, A.; Gillespie, D.; Norbury, J.; Eisenberg, R. S.
42
2008
Ostrovsky and Hunter’s generic wave equation for weakly dispersive waves: matched asymptotic and pseudospectral study of the paraboloidal travelling waves (corner and near-corner waves). Zbl 1079.35087
Boyd, John P.
40
2005
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations. Zbl 1400.65053
Dutykh, Denys; Clamond, Didier; Milewski, Paul; Mitsotakis, Dimitrios
40
2013
Interpolation of spatial data – a stochastic or a deterministic problem? Zbl 1426.62284
Scheuerer, M.; Schaback, R.; Schlather, M.
40
2013
A mean-field model of superconducting vortices. Zbl 0849.35135
Chapman, S. J.; Rubinstein, J.; Schatzman, M.
39
1996
Propagation of hexagonal patterns near onset. Zbl 1044.37049
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
38
2003
A general construction of fractal interpolation functions on grids of \(\mathbb R\). Zbl 1153.41306
Bouboulis, P.; Dalla, L.
38
2007
A selfsimilar solution to the focusing problem for the porous medium equation. Zbl 0780.35079
Aronson, D. G.; Graveleau, J.
37
1993
Moment-free numerical approximation of highly oscillatory integrals with stationary points. Zbl 1153.65325
Olver, Sheehan
37
2007
Elastic-plated gravity currents. Zbl 1387.76026
Hewitt, I. J.; Balmforth, N. J.; De Bruyn, J. R.
36
2015
Adding police to a mathematical model of burglary. Zbl 1233.91225
Pitcher, Ashley B.
36
2010
Infiltration in porous media with dynamic capillary pressure: Travelling waves. Zbl 0970.76096
Cuesta, C.; van Duijn, C. J.; Hulshof, J.
36
2000
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. Zbl 0922.35033
Cherniha, Roman; Serov, Mykola
36
1998
A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay. Zbl 1079.35015
Al-Omari, J. F. M.; Gourley, S. A.
36
2005
Thermal runaway in a nonlocal problem modelling Ohmic heating. II: General proof of blow-up and asymptotics of runaway. Zbl 0849.35058
Lacey, A. A.
36
1995
Asymmetric spike patterns for the one-dimensional Gierer-Meinhardt model: Equilibria and stability. Zbl 1010.35002
Ward, M. J.; Wei, J.
35
2002
Properties of steady states for thin film equations. Zbl 1041.76008
Laugesen, R. S.; Pugh, M. C.
34
2000
Hopf bifurction of spike solutions for the shadow Gierer-Meinhardt model. Zbl 1063.35030
Ward, M. J.; Wei, J.
34
2003
The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model. Zbl 1018.82024
Gasser, Ingenuin; Levermore, C. David; Markowich, Peter A.; Schmeiser, Christian
33
2001
Asymptotic behaviour of functional-differential equations with proportional time delays. Zbl 0856.34078
Liu, Yunkang
33
1996
Boundedness of solutions of a non-local reaction-diffusion model for adhesion in cell aggregation and cancer invasion. Zbl 1194.35219
Sherratt, Jonathan A.; Gourley, Stephen A.; Armstrong, Nicola J.; Painter, Kevin J.
33
2009
Non-local dispersal and bistability. Zbl 1114.35021
Hutson, V.; Grinfeld, M.
32
2006
New exact solutions of the Boussinesq equation. Zbl 0721.35074
Clarkson, Peter A.
32
1990
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
32
2005
Explicit flock solutions for quasi-Morse potentials. Zbl 1304.82049
Carrillo, J. A.; Huang, Y.; Martin, S.
30
2014
Homogenisation of a locally periodic medium with areas of low and high diffusivity. Zbl 1233.35020
van Noorden, T. L.; Muntean, A.
30
2011
On the computation of blow-up. Zbl 0701.76038
Stuart, A. M.; Floater, M. S.
30
1990
Self-organised critical hot spots of criminal activity. Zbl 1233.91229
Berestycki, H.; Nadal, J.-P.
29
2010
Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019
Ferreira, Raul; Bernis, Francisco
29
1997
Steady state solutions of a bi-stable quasi-linear equation with saturating flux. Zbl 1219.35186
Burns, M.; Grinfeld, M.
29
2011
Optimal design of periodic antireflective structures for the Helmholtz equation. Zbl 0806.35175
Dobson, David C.
29
1993
Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302
Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G.
28
2019
Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049
Girardin, Léo; Nadin, Grégoire
28
2015
Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049
Gualdini, Maria Pia; Jüngel, Ansgar
28
2004
Moving-boundary and fixed-domain problems for a sixth-order thin-film equation. Zbl 1105.76010
Flitton, J. C.; King, J. R.
28
2004
Global existence of solutions for a chemotaxis-type system arising in crime modelling. Zbl 1284.35445
Manásevich, Raúl; Phan Quoc Hung; Souplet, Philippe
28
2013
Asymptotic spreading of competition diffusion systems: the role of interspecific competitions. Zbl 1256.35179
Lin, Guo; Li, Wan-Tong
28
2012
Laminates and microstructure. Zbl 0779.73050
Pedregal, Pablo
28
1993
Two-dimensional Stokes and Hele-Shaw flows with free surfaces. Zbl 0955.76023
Cummings, L. J.; Howison, S. D.; King, J. R.
27
1999
Integrating factors and first integrals for ordinary differential equations. Zbl 0922.34006
Anco, Stephen C.; Bluman, George
27
1998
Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between \(3/2\) and 3. Zbl 1292.35067
Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix
27
2013
An Abel ordinary differential equation class generalizing known integrable classes. Zbl 1046.34004
Cheb-Terrab, E. S.; Roche, A. D.
27
2003
Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058
Shi, Peter; Shillor, Meir
27
1990
Hyperbolicity and kinematic waves of a class of multi-population partial differential equations. Zbl 1107.35389
Zhang, Peng; Liu, Ru-Xun; Wong, S. C.; Dai, Shi-Qiang
26
2006
Non-linear effects on canonical MEMS models. Zbl 1252.78010
Brubaker, Nicholas D.; Pelesko, John A.
26
2011
A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120
Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D.
26
1995
Aggregation under local reinforcement: from lattice to continuum. Zbl 1062.92007
Horstmann, Dirk; Painter, Kevin J.; Othmer, Hans G.
25
2004
Finding abstract Lie symmetry algebras of differential equations without integrating determining equations. Zbl 0768.35002
Reid, Gregory J.
25
1991
Sharp condition for blow-up and global existence in a two species chemotactic Keller-Segel system in \(\mathbb R^2\). Zbl 1284.35448
Espejo, Elio; Vilches, Karina; Conca, Carlos
25
2013
On the dynamic behaviour of a thermoviscoelastic body in frictional contact with a rigid obstacle. Zbl 0894.73135
Andrews, K. T.; Kuttler, K. L.; Shillor, M.
25
1997
On the asymptotics of solutions of a class of linear functional-differential equations. Zbl 0859.34049
Derfel, G.; Vogl, F.
25
1996
On Hele-Shaw flow of power-law fluids. Zbl 0769.76003
Aronsson, Gunnar; Janfalk, Ulf
25
1992
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
24
2019
Transport equations with resting phases. Zbl 1050.92052
Hillen, T.
24
2003
Decay estimates of solutions for a hybrid system of flexible structures. Zbl 0786.73039
Rao, Bopeng
24
1993
Constrained exact boundary controllability of a semilinear model for pipeline gas flow. Zbl 1518.93018
Gugat, Martin; Habermann, Jens; Hintermüller, Michael; Huber, Olivier
3
2023
Extended symmetry analysis of remarkable (1+2)-dimensional Fokker-Planck equation. Zbl 1522.35023
Koval, Serhii D.; Bihlo, Alexander; Popovych, Roman O.
2
2023
Exact nonclassical symmetry solutions of Lotka-Volterra-type population systems. Zbl 1522.35022
Broadbridge, P.; Cherniha, R. M.; Goard, J. M.
1
2023
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime. Zbl 1503.35234
Rodriguez, Nancy; Winkler, Michael
7
2022
A continuum limit for the PageRank algorithm. Zbl 1505.35124
Yuan, A.; Calder, J.; Osting, B.
6
2022
Well-posedness of the Muskat problem in subcritical \(L_p\)-Sobolev spaces. Zbl 1504.35269
Abels, H.; Matioc, B.-V.
5
2022
Spikes and localised patterns for a novel Schnakenberg model in the semi-strong interaction regime. Zbl 1504.35029
Al Saadi, Fahad; Champneys, Alan; Gai, Chunyi; Kolokolnikov, Theodore
4
2022
Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities. Zbl 1504.35128
Frigeri, Sergio; Lam, Kei Fong; Signori, Andrea
4
2022
Dynamics of an infection age-space structured cholera model with Neumann boundary condition. Zbl 1504.35055
Liu, Weiwei; Wang, Jinliang; Zhang, Ran
4
2022
Asymptotic propagations of a nonlocal dispersal population model with shifting habitats. Zbl 1504.35175
Qiao, Shao-Xia; Li, Wan-Tong; Wang, Jia-Bing
4
2022
Charge transport modelling of lithium-ion batteries. Zbl 1499.78002
Richardson, G. W.; Foster, J. M.; Ranom, R.; Please, C. P.; Ramos, A. M.
4
2022
Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations. Zbl 1509.37097
Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong
4
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Eigenoscillations in an angular domain and spectral properties of functional equations. Zbl 1504.35201
Lyalinov, M. A.
3
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Mean-field models for segregation dynamics. Zbl 1504.35140
Burger, Martin; Pietschmann, Jan-Frederik; Ranetbauer, Helene; Schmeiser, Christian; Wolfram, Marie-Therese
2
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Postponing production exponentially enhances the molecular memory of a stochastic switch. Zbl 1518.92059
Bokes, Pavol
2
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On symmetric wedge mode of an elastic solid. Zbl 1504.35540
Nazarov, Alexander; Nazarov, Sergey; Zavorokhin, German
2
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Geometric series expansion of the Neumann-Poincaré operator: application to composite materials. Zbl 1504.35039
Cherkaev, Elena; Kim, Minwoo; Lim, Mikyoung
2
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Asymptotics of the principal eigenvalue of the Laplacian in 2D periodic domains with small traps. Zbl 1505.35022
Paquin-Lefebvre, F.; Iyaniwura, S.; Ward, M. J.
2
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Wave propagation in a diffusive SAIV epidemic model with time delays. Zbl 1504.35119
Zhou, Jiangbo; Li, Jinghuan; Wei, Jingdong; Tian, Lixin
2
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Direction-dependent turning leads to anisotropic diffusion and persistence. Zbl 1503.35239
Loy, N.; Hillen, T.; Painter, K. J.
2
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Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility. Zbl 1507.35300
Lorenzi, T.; Perthame, B.; Ruan, X.
2
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Homogenised model for the electrical current distribution within a submerged arc furnace for silicon production. Zbl 1504.78019
Luckins, Ellen K.; Oliver, James M.; Please, Colin P.; Sloman, Benjamin M.; Van Gorder, Robert A.
2
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Global solution to a three-dimensional spherical piston problem for the relativistic Euler equations. Zbl 1504.35260
Lai, Geng
1
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Bloch wave homogenisation of quasiperiodic media. Zbl 1504.35044
Sivaji Ganesh, Sista; Tewary, Vivek
1
2022
On a repulsion Keller-Segel system with a logarithmic sensitivity. Zbl 1504.35054
Jiang, Jie
1
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Mass-conserving diffusion-based dynamics on graphs. Zbl 1509.34029
Budd, J. M.; Van Gennip, Y.
1
2022
Linear evolution equations on the half-line with dynamic boundary conditions. Zbl 1504.35011
Smith, D. A.; Toh, W. Y.
1
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A reaction-diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling. Zbl 1504.35022
Cherniha, Roman M.; Davydovych, Vasyl V.
1
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On travelling wave solutions of a model of a liquid film flowing down a fibre. Zbl 1504.35114
Ji, Hangjie; Taranets, Roman; Chugunova, Marina
1
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A spectral modelling approach for fluid flow into a line sink in a confined aquifer. Zbl 1503.76069
Al-Ali, S.; Hocking, G. C.; Farrow, D. E.; Zhang, H.
1
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Solving parametric PDE problems with artificial neural networks. Zbl 1501.65154
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
61
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Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion. Zbl 1505.35040
Jin, Hai-Yang; Wang, Zhi-An
44
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Solving high-dimensional optimal stopping problems using deep learning. Zbl 1505.91413
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19
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A critical virus production rate for efficiency of oncolytic virotherapy. Zbl 1526.92012
Tao, Youshan; Winkler, Michael
13
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Structure-preserving deep learning. Zbl 07440570
Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schonlieb, C.-B.; Sherry, F.
13
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Learning and meta-learning of stochastic advection-diffusion-reaction systems from sparse measurements. Zbl 07441294
Chen, Xiaoli; Duan, Jinqiao; Karniadakis, George Em
13
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A new class of hyperbolic variational-hemivariational inequalities driven by non-linear evolution equations. Zbl 1503.49014
Migórski, Stanisław; Han, Weimin; Zeng, Shengda
12
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A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149
Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto
6
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Global and exponential attractor of the repulsive Keller-Segel model with logarithmic sensitivity. Zbl 1504.35062
Chen, Lin; Kong, Fanze; Wang, Qi
5
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Deep learning models for global coordinate transformations that linearise PDEs. Zbl 1479.35021
Gin, Craig; Lusch, Bethany; Brunton, Steven L.; Kutz, J. Nathan
5
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Continuous-domain assignment flows. Zbl 1479.35904
Savarino, F.; Schnörr, C.
5
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Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility. Zbl 1504.35076
Perthame, Benoît; Poulain, Alexandre
4
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Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model. Zbl 1504.35020
Cherniha, R. M.; Davydovych, V. V.
4
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Fano resonance in metallic grating via strongly coupled subwavelength resonators. Zbl 1504.35048
Lin, Junshan; Zhang, Hai
4
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Thin-layer solutions of the Helmholtz equation. Zbl 1478.78070
Ockendon, J. R.; Tew, R. H.
4
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Cahn-Hilliard equations on an evolving surface. Zbl 1479.35902
Caetano, D.; Elliott, C. M.
4
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On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys. Zbl 1508.76087
Assunção, M.; Vynnycky, M.; Mitchell, S. L.
3
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Extended Stefan problem for the solidification of binary alloys in a sphere. Zbl 1504.80003
Brosa Planella, Ferran; Please, Colin P.; Van Gorder, Robert A.
3
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Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis-haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more). Zbl 1503.35243
Surulescu, Christina; Winkler, Michael
3
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Coarse graining of a Fokker-Planck equation with excluded volume effects preserving the gradient flow structure. Zbl 1510.35339
Bruna, M.; Burger, M.; Carrillo, J. A.
3
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Semi-analytical solution of a McKean-Vlasov equation with feedback through hitting a boundary. Zbl 1479.35534
Lipton, Alexander; Kaushansky, Vadim; Reisinger, Christoph
3
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Domain formation via phase separation for spherical biomembranes with small deformations. Zbl 1479.35013
Elliott, C. M.; Hatcher, L.
3
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A reaction-diffusion epidemic model with incubation period in almost periodic environments. Zbl 1479.35530
Qiang, Lizhong; Wang, Bin-Guo; Wang, Zhi-Cheng
3
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Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning. Zbl 1505.68039
Wang, Bao; Osher, Stan J.
3
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A stochastic-statistical residential burglary model with independent Poisson clocks. Zbl 1499.60151
Wang, Chuntian; Zhang, Yuan; Bertozzi, Andrea L.; Short, Martin B.
2
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Approximate solutions to one-phase Stefan-like problems with space-dependent latent heat. Zbl 1504.80002
Bollati, J.; Tarzia, D. A.
2
2021
The amyloid cascade hypothesis and Alzheimer’s disease: a mathematical model. Zbl 1478.92044
Bertsch, M.; Franchi, B.; Meacci, L.; Primicerio, M.; Tesi, M. C.
2
2021
Hopf bifurcation from spike solutions for the weak coupling Gierer-Meinhardt system. Zbl 1504.35034
Gomez, Daniel; Mei, Linfeng; Wei, Juncheng
1
2021
Existence and stability of bistable wavefronts in a nonlocal delayed reaction-diffusion epidemic system. Zbl 1504.35115
Li, Kun; Li, Xiong
1
2021
A novel Landau-de Gennes model with quartic elastic terms. Zbl 1505.35158
Golovaty, Dmitry; Novack, Michael; Sternberg, Peter
1
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On the birth and death of algebraic limit cycles in quadratic differential systems. Zbl 1509.34032
Llibre, Jaume; Oliveira, Regilene; Zhao, Yulin
1
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Homogenisation applied to thermal radiation in porous media. Zbl 1479.35062
Rooney, C. M.; Please, C. P.; Howison, S. D.
1
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Dispersive fractalisation in linear and nonlinear Fermi-Pasta-Ulam-Tsingou lattices. Zbl 1484.37093
Olver, Peter J.; Stern, Ari
1
2021
Connections between deep learning and partial differential equations. Zbl 1479.35002
Burger, M.; E, W.; Ruthotto, L.; Osher, S. J.
1
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Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion. Zbl 1504.35072
Li, Huicong; Peng, Rui; Xiang, Tian
42
2020
A non-local traffic flow model for 1-to-1 junctions. Zbl 1504.35188
Chiarello, F. A.; Friedrich, J.; Goatin, P.; Göttlich, S.; Kolb, O.
16
2020
On the matrix Monge-Kantorovich problem. Zbl 1503.49031
Chen, Yongxin; Gangbo, Wilfrid; Georgiou, Tryphon T.; Tannenbaum, Allen
11
2020
Existence, uniqueness and stability of transition fronts of non-local equations in time heterogeneous bistable media. Zbl 1504.35116
Shen, Wenxian; Shen, Zhongwei
7
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Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering. Zbl 1503.74027
Chen, M. J.; Kimpton, L. S.; Whiteley, J. P.; Castilho, M.; Malda, J.; Please, C. P.; Waters, S. L.; Byrne, H. M.
6
2020
The time-dependent Schrödinger equation with piecewise constant potentials. Zbl 1506.35187
Sheils, Natalie E.; Deconinck, Bernard
5
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Asymptotic and transient behaviour for a nonlocal problem arising in population genetics. Zbl 1504.35061
Burie, J.-B.; Djidjou-Demasse, R.; Ducrot, A.
5
2020
Existence of travelling waves with the critical speed for an influenza model with treatment. Zbl 1504.35112
Deng, Dong; Zhang, Dongpei
5
2020
Large data limit for a phase transition model with the \(p\)-Laplacian on point clouds. Zbl 1503.49021
Cristoferi, R.; Thorpe, M.
4
2020
Entire solutions of the Fisher-KPP equation on the half line. Zbl 1504.35027
Lou, Bendong; Lu, Junfan; Morita, Yoshihisa
4
2020
Self-similar solutions of the radially symmetric relativistic Euler equations. Zbl 1504.35110
Lai, Geng
4
2020
Asymptotic approximations for the plasmon resonances of nearly touching spheres. Zbl 1505.78038
Schnitzer, O.
3
2020
Equi-affine differential invariants for invariant feature point detection. Zbl 1503.53175
Tuznik, Stanley L.; Olver, Peter J.; Tannenbaum, Allen
3
2020
On a model for phase separation on biological membranes and its relation to the Ohta-Kawasaki equation. Zbl 1504.35167
Abels, H.; Kampmann, J.
3
2020
In search of a new economic model determined by logistic growth. Zbl 1505.91247
Smirnov, R. G.; Wang, K.
3
2020
Homogenisation problems in reactive decontamination. Zbl 1504.35042
Luckins, E.; Breward, C. J. W.; Griffiths, I. M.; Wilmott, Z.
3
2020
Cops-on-the-dots: the linear stability of crime hotspots for a 1-D reaction-diffusion model of urban crime. Zbl 1504.35031
Buttenschoen, Andreas; Kolokolnikov, Theodore; Ward, Michael J.; Wei, Juncheng
3
2020
When a small thin two-dimensional body enters a viscous wall layer. Zbl 1503.76024
Palmer, R. A.; Smith, F. T.
3
2020
Spatial dynamics of a nonlocal model with periodic delay and competition. Zbl 1504.35179
Zhang, L.; Liu, K. H.; Lou, Y. J.; Wang, Z. C.
3
2020
A switched server system semiconjugate to a minimal interval exchange. Zbl 1507.37053
Fernandes, Filipe; Pires, Benito
2
2020
Modelling silicosis: the structure of equilibria. Zbl 1509.34046
da Costa, F. P.; Drmota, M.; Grinfeld, M.
2
2020
Analysis of spreading speeds for monotone semiflows with an application to CNNs. Zbl 1504.35118
Yu, Zhi-Xian; Zhang, Lei
1
2020
Evolution of interfaces for the nonlinear parabolic \(p\)-Laplacian-type reaction-diffusion equations. II: Fast diffusion vs. absorption. Zbl 1504.35182
Abdulla, Ugur G.; Jeli, Roqia
1
2020
Asymptotic behaviour of solutions of Fisher-KPP equation with free boundaries in time-periodic environment. Zbl 1504.35657
Cai, Jingjing; Xu, Li
1
2020
Travelling waves in a reaction-diffusion system modelling farmer and hunter-gatherer interaction in the Neolithic transition in Europe. Zbl 1504.35117
Tsai, Je-Chiang; Kabir, M. Humayun; Mimura, Masayasu
1
2020
Potential flow over a submerged rectangular obstacle: consequences for initiation of Boulder motion. Zbl 1499.86002
Herterich, J. G.; Dias, F.
1
2020
Mathematical analysis of a credit default swap with counterparty risks. Zbl 1505.91377
Chen, Xinfu; He, Peng; Liu, Jing; Zhao, Shuai
1
2020
About a cavitation model including bubbles in thin film lubrication: a first mathematical analysis. Zbl 1503.76108
Jaramillo, Alfredo; Bayada, Guy; Ciuperca, Ionel; Jai, Mohammed
1
2020
Steady states and dynamics of a thin-film-type equation with non-conserved mass. Zbl 1504.35162
Ji, Hangjie; Witelski, Thomas P.
1
2020
Degenerate equations in a diffusion-precipitation model for clogging porous media. Zbl 1504.35130
Schulz, Raphael
1
2020
Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302
Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G.
28
2019
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
24
2019
A new class of costs for optimal transport planning. Zbl 1435.90143
Alibert, J.-J.; Bouchitté, G.; Champion, T.
20
2019
Balanced viscosity solutions to a rate-independent system for damage. Zbl 1407.35193
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
12
2019
Minimal convex extensions and finite difference discretisation of the quadratic Monge-Kantorovich problem. Zbl 1427.65326
Benamou, Jean-David; Duval, Vincent
9
2019
Quantum entropic regularization of matrix-valued optimal transport. Zbl 1428.49047
Peyré, Gabriel; Chizat, Lénaïc; Vialard, François-Xavier; Solomon, Justin
8
2019
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Cited by 9,686 Authors

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54 Ward, Michael J.
47 Garcke, Harald
47 Migórski, Stanisław
47 Sofonea, Mircea
46 Kara, Abdul Hamid
46 Mu, Chunlai
43 Winkler, Michael
42 Gandarias Núñez, Maria Luz
37 Bruzón, Maria Santos
35 Khalique, Chaudry Masood
31 King, John Robert
27 Kolokolnikov, Theodore
27 Rocca, Elisabetta
26 Carrillo de la Plata, José Antonio
26 Nürnberg, Robert
25 Anco, Stephen C.
25 Volpert, Vitaly A.
25 Zheng, Pan
24 Ammari, Habib
24 Kim, Junseok
23 Cheviakov, Alexei F.
23 Popovych, Roman O.
23 Zheng, Jiashan
22 Cherniha, Roman M.
22 Galaktionov, Victor Aleksandrovich
22 Li, Wan-Tong
22 Wang, Zhian
21 Chen, Wenbin
21 Chen, Xinfu
21 Colli, Pierluigi
21 Jin, Haiyang
21 Llibre, Jaume
21 Qu, Changzheng
21 Shillor, Meir
21 Vazquez, Juan Luis
20 Majumdar, Apala
20 Signori, Andrea
20 Vanden-Broeck, Jean-Marc
20 Winter, Matthias
19 Byrne, Helen Mary
19 Dutykh, Denys
19 Friedman, Avner
19 Giné, Jaume
19 Pop, Iuliu Sorin
19 Sprekels, Jürgen
18 Bluman, George Wallace
18 Clarkson, Peter A.
18 Lustri, Christopher J.
18 McCue, Scott William
18 Wang, Liangchen
18 Witelski, Thomas P.
17 Elliott, Charles M.
17 Han, Weimin
17 Hintermüller, Michael
17 Jüngel, Ansgar
17 Liu, Hongyu
17 Mahomed, Fazal M.
17 Painter, Kevin J.
17 Sophocleous, Christodoulos
16 Bürger, Raimund
16 Gancedo, Francisco
16 Lam, Kei Fong
16 Lin, Ke
16 Matioc, Bogdan-Vasile
16 Miranville, Alain M.
16 Münch, Arnaud
16 Radkevich, Evgeniĭ Vladimirovich
15 Cummings, Linda J.
15 Escher, Joachim
15 Gilardi, Gianni
15 Momoniat, Ebrahim
15 Muñoz Rivera, Jaime Edilberto
15 Papageorgiou, Demetrios T.
15 Rossi, Riccarda
15 Tao, Youshan
15 Wang, Cheng
15 Wu, Hao
15 Zhang, Mingji
14 Bertozzi, Andrea Louise
14 Freire, Igor Leite
14 Kalliadasis, Serafim
14 Kang, Hyeonbae
14 Lou, Yuan
14 Lowengrub, John Samuel
14 Pulch, Roland
14 van Brunt, Bruce
14 Walker, Christoph
14 Wang, Shu
14 Yousept, Irwin
14 Zhou, Jun
13 Barrett, John William
13 Chaplain, Mark A. J.
13 Coclite, Giuseppe Maria
13 Cui, Shangbin
13 Doelman, Arjen
13 Grasselli, Maurizio
13 Haltmeier, Markus
13 Hilhorst, Danielle
13 Hillen, Thomas
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Cited in 643 Journals

361 Journal of Mathematical Analysis and Applications
316 Journal of Differential Equations
201 Applied Mathematics and Computation
195 Journal of Fluid Mechanics
192 European Journal of Applied Mathematics
188 Physica D
183 Journal of Computational Physics
174 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
144 Nonlinear Analysis. Real World Applications
134 Discrete and Continuous Dynamical Systems. Series B
119 Journal of Computational and Applied Mathematics
118 Computers & Mathematics with Applications
108 Archive for Rational Mechanics and Analysis
105 ZAMP. Zeitschrift für angewandte Mathematik und Physik
105 Communications in Nonlinear Science and Numerical Simulation
99 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
97 Applied Mathematics Letters
95 Mathematical Methods in the Applied Sciences
92 SIAM Journal on Applied Mathematics
91 Journal of Engineering Mathematics
88 Journal of Mathematical Biology
83 Journal of Mathematical Physics
81 SIAM Journal on Mathematical Analysis
76 Discrete and Continuous Dynamical Systems
72 Applicable Analysis
72 Chaos, Solitons and Fractals
69 Calculus of Variations and Partial Differential Equations
68 Nonlinearity
66 Journal of Scientific Computing
66 Journal of Nonlinear Science
61 Journal of Dynamics and Differential Equations
58 Physics of Fluids
57 Computer Methods in Applied Mechanics and Engineering
57 Inverse Problems
54 SIAM Journal on Applied Dynamical Systems
54 Discrete and Continuous Dynamical Systems. Series S
53 Journal of Mathematical Sciences (New York)
52 Bulletin of Mathematical Biology
52 Applied Mathematical Modelling
51 Applied Numerical Mathematics
50 Mathematical and Computer Modelling
49 Journal of Theoretical Biology
47 Applied Mathematics and Optimization
45 Acta Applicandae Mathematicae
44 Communications in Partial Differential Equations
42 Physics Letters. A
42 Studies in Applied Mathematics
42 Journal de Mathématiques Pures et Appliquées. Neuvième Série
41 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
40 Numerische Mathematik
40 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
39 NoDEA. Nonlinear Differential Equations and Applications
35 Communications on Pure and Applied Analysis
33 Wave Motion
32 Transactions of the American Mathematical Society
31 Mathematics and Computers in Simulation
30 International Journal of Engineering Science
30 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
30 Multiscale Modeling & Simulation
30 Boundary Value Problems
29 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
28 Numerical Methods for Partial Differential Equations
28 Japan Journal of Industrial and Applied Mathematics
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28 SIAM Journal on Scientific Computing
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27 Communications in Mathematical Physics
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27 Abstract and Applied Analysis
27 European Journal of Mechanics. B. Fluids
26 Mathematics of Computation
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Advances in Difference Equations
26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
26 Communications in Computational Physics
24 Quarterly of Applied Mathematics
24 SIAM Journal on Numerical Analysis
24 International Journal of Computer Mathematics
22 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
21 Journal of Functional Analysis
21 Journal of Inverse and Ill-Posed Problems
21 Chaos
21 Journal of Evolution Equations
21 Inverse Problems and Imaging
21 Mathematical Modelling of Natural Phenomena
20 Physica A
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19 SIAM Journal on Control and Optimization
19 Interfaces and Free Boundaries
19 Qualitative Theory of Dynamical Systems
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19 Nonlinear Analysis. Theory, Methods & Applications
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