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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: 1,169 Publications (since 1990)
References Indexed: 793 Publications with 22,987 References.
all top 5

Latest Issues

35, No. 5 (2024)
35, No. 4 (2024)
35, No. 3 (2024)
35, No. 2 (2024)
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34, No. 6 (2023)
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21, No. 6 (2010)
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20, No. 6 (2009)
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20, No. 4 (2009)
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19, No. 6 (2008)
19, No. 5 (2008)
19, No. 4 (2008)
19, No. 3 (2008)
19, No. 2 (2008)
19, No. 1 (2008)
...and 96 more Volumes
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Authors

28 King, John Robert
24 Ward, Michael J.
14 Chapman, Stephen Jonathan
14 Howison, Samuel Dexter
13 Chen, Xinfu
12 Wei, Juncheng
11 Please, Colin Peter
10 Cummings, Linda J.
10 Knessl, Charles
10 Kolokolnikov, Theodore
10 Lacey, Andrew A.
10 Richardson, Giles W.
9 Richardson, Stanley
8 Galaktionov, Victor Aleksandrovich
8 Hocking, Graeme Charles
8 Matkowsky, Bernard J.
8 Movchan, Alexander B.
8 Tew, Richard H.
7 Anco, Stephen C.
7 Entov, Vladimir M.
7 Ockendon, John R.
7 Peletier, Lambertus Adrianus
7 Shearer, Michael
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 Wagner, Barbara A.
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 Hilhorst, Danielle
5 Howell, Peter D.
5 Kuske, Rachel A.
5 Münch, Andreas
5 Oliver, James M.
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.
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 Craster, Richard V.
4 Crowdy, Darren Gregory
4 Danilov, Vladimir G.
4 Evans, Jonathan David
4 Fernández, Jose Ramon
4 Friedman, Avner
4 Glasner, Karl B.
4 Gnann, Manuel V.
4 Greenberg, James M.
4 Griffiths, Ian M.
4 Hillen, Thomas
4 Iron, David
4 Kang, Hyeonbae
4 Kavallaris, Nikos Ioannis
4 Kühn, Christian
4 Luckins, Ellen K.
4 Maklakov, Dmitri V.
4 Migórski, Stanisław
4 Mimura, Masayasu
4 Ockendon, Hilary
4 Osher, Stanley Joel
4 Peletier, Mark Adriaan
4 Shelukhin, Vladimir
4 Short, Martin B.
4 Terrill, E. L.
4 van den Berg, Jan Bouwe
4 Volpert, Vitaly A.
4 Wake, Graeme Charles
4 Waters, Sarah Louise
4 Wilson, Stephen Kenneth
4 Winter, Matthias
3 Aftalion, Amandine
3 Almog, Yaniv
3 Aslanyan, A. G.
3 Atkinson, Colin
3 Barenblatt, Grigory Isaakovich
3 Bayada, Guy
...and 1,636 more Authors
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Fields

645 Partial differential equations (35-XX)
360 Fluid mechanics (76-XX)
152 Biology and other natural sciences (92-XX)
137 Mechanics of deformable solids (74-XX)
115 Statistical mechanics, structure of matter (82-XX)
101 Ordinary differential equations (34-XX)
92 Classical thermodynamics, heat transfer (80-XX)
89 Numerical analysis (65-XX)
72 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
68 Optics, electromagnetic theory (78-XX)
64 Probability theory and stochastic processes (60-XX)
57 Calculus of variations and optimal control; optimization (49-XX)
48 Dynamical systems and ergodic theory (37-XX)
36 Computer science (68-XX)
30 Operations research, mathematical programming (90-XX)
26 Systems theory; control (93-XX)
22 Functions of a complex variable (30-XX)
22 Integral equations (45-XX)
21 Geophysics (86-XX)
20 Statistics (62-XX)
19 Information and communication theory, circuits (94-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Combinatorics (05-XX)
15 General and overarching topics; collections (00-XX)
13 Operator theory (47-XX)
9 Approximations and expansions (41-XX)
9 Differential geometry (53-XX)
7 Quantum theory (81-XX)
6 Measure and integration (28-XX)
6 Special functions (33-XX)
6 Mechanics of particles and systems (70-XX)
5 History and biography (01-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 Real functions (26-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 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

947 Publications have been cited 11,410 times in 9,199 Documents Cited by Year
Blow-up in a chemotaxis model without symmetry assumptions. Zbl 1017.92006
Horstmann, Dirk; Wang, Guofang
339
2001
Direct construction method for conservation laws of partial differential equations. I: Examples of conservation law classifications. Zbl 1034.35070
Anco, Stephen C.; Bluman, George
220
2002
Symmetry-based algorithms to relate partial differential equations. I: Local symmetries. Zbl 0718.35003
Bluman, G. W.; Kumei, S.
218
1990
Direct construction method for conservation laws of partial differential equations. II: General treatment. Zbl 1034.35071
Anco, Stephen C.; Bluman, George
206
2002
Symmetry-based algorithms to relate partial differential equations. II: Linearization by nonlocal symmetries. Zbl 0718.35004
Bluman, G. W.; Kumei, S.
178
1990
Propagation of frontal polymerization-crystallization waves. Zbl 0805.35143
Volpert, Vit.; Volpert, Vl.
178
1994
On the generalized pantograph functional-differential equation. Zbl 0767.34054
Iserles, A.
141
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.
122
1996
Mathematics of thermoacoustic tomography. Zbl 1185.35327
Kuchment, Peter; Kunyansky, Leonid
120
2008
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.
114
1991
Some mathematical results in the pricing of American options. Zbl 0797.60051
Dewynne, J. N.; Howison, S. D.; Rupf, I.; Wilmott, P.
112
1993
Thin film epitaxy with or without slope selection. Zbl 1059.35059
Li, Bo; Liu, Jian-Guo
100
2003
A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001
Burger, Martin; Osher, Stanley J.
96
2005
On single interior spike solutions of the Gierer-Meinhardt system: Uniqueness and spectrum estimates. Zbl 1014.35005
Wei, Juncheng
90
1999
Solving parametric PDE problems with artificial neural networks. Zbl 1501.65154
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
84
2021
Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016
Byrne, H. M.; Chaplain, M. A. J.
82
1997
A comparison of four approaches to the calculation of conservation laws. Zbl 1002.35008
Wolf, Thomas
79
2002
Convergence of the phase field model to its sharp interface limits. Zbl 0930.35024
Caginalp, Gunduz; Chen, Xinfu
79
1998
Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory. Zbl 1253.82089
Majumdar, Apala
72
2010
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
72
2011
History-dependent quasi-variational inequalities arising in contact mechanics. Zbl 1226.49012
Sofonea, Mircea; Matei, Andaluzia
72
2011
On a diffuse interface model of tumour growth. Zbl 1375.92031
Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta
72
2015
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald; Lam, Kei Fong
71
2017
Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A.
70
1999
A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018
Alberti, Giovanni; Bellettini, Giovanni
69
1998
Complex variable methods in Hele-Shaw moving boundary problems. Zbl 0759.76022
Howison, S. D.
68
1992
Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505
Esedoglu, Selim; Shen, Jianhong
67
2002
Well-posedness of two-phase Hele-Shaw flow without surface tension. Zbl 1076.76027
Ambrose, David M.
67
2004
Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007
Constantin, Adrian; Escher, Joachim
64
2004
Multi-components chemotactic system in the absence of conflicts. Zbl 1008.92008
Wolansky, G.
62
2002
Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion. Zbl 1505.35040
Jin, Hai-Yang; Wang, Zhi-An
61
2021
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.
58
1992
Solutions for the two-phase Stefan problem with the Gibbs-Thomson law for the melting temperature. Zbl 0734.35159
Luckhaus, Stephan
58
1990
How to construct the discrete symmetries of partial differential equations. Zbl 1035.35005
Hydon, P. E.
57
2000
An \(n\)-populations model for traffic flow. Zbl 1143.82323
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.
56
2003
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
56
2020
On the Bean critical-state model in superconductivity. Zbl 0873.49007
Prigozhin, L.
53
1996
Variational model of sandpile growth. Zbl 0913.73079
Prigozhin, Leonid
52
1996
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
51
2013
Reduction of systems of nonlinear partial differential equations to simplified involutive forms. Zbl 0892.35041
Reid, Gregory J.; Wittkopf, Allan D.; Boulton, Alan
50
1996
Thermal runaway in a non-local problem modelling Ohmic heating. I: Model derivation and some special cases. Zbl 0843.35008
Lacey, A. A.
49
1995
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.
48
1991
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023
Amick, C. J.; Toland, J. F.
48
1992
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.
48
2008
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.
48
2005
Interpolation of spatial data – a stochastic or a deterministic problem? Zbl 1426.62284
Scheuerer, M.; Schaback, R.; Schlather, M.
46
2013
Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems. Zbl 1439.74230
Sofonea, Mircea; Han, Weimin; Migórski, Stanisław
44
2015
A mean-field model of superconducting vortices. Zbl 0849.35135
Chapman, S. J.; Rubinstein, J.; Schatzman, M.
43
1996
Propagation of hexagonal patterns near onset. Zbl 1044.37049
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
42
2003
A general construction of fractal interpolation functions on grids of \(\mathbb R\). Zbl 1153.41306
Bouboulis, P.; Dalla, L.
40
2007
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
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.
39
1995
Adding police to a mathematical model of burglary. Zbl 1233.91225
Pitcher, Ashley B.
39
2010
Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302
Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G.
39
2019
Properties of steady states for thin film equations. Zbl 1041.76008
Laugesen, R. S.; Pugh, M. C.
38
2000
A selfsimilar solution to the focusing problem for the porous medium equation. Zbl 0780.35079
Aronson, D. G.; Graveleau, J.
37
1993
Infiltration in porous media with dynamic capillary pressure: Travelling waves. Zbl 0970.76096
Cuesta, C.; van Duijn, C. J.; Hulshof, J.
37
2000
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.
37
2015
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
36
2005
Asymmetric spike patterns for the one-dimensional Gierer-Meinhardt model: Equilibria and stability. Zbl 1010.35002
Ward, M. J.; Wei, J.
36
2002
Hopf bifurction of spike solutions for the shadow Gierer-Meinhardt model. Zbl 1063.35030
Ward, M. J.; Wei, J.
36
2003
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
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
36
2001
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. Zbl 0922.35033
Cherniha, Roman; Serov, Mykola
36
1998
On the computation of blow-up. Zbl 0701.76038
Stuart, A. M.; Floater, M. S.
34
1990
New exact solutions of the Boussinesq equation. Zbl 0721.35074
Clarkson, Peter A.
33
1990
Asymptotic spreading of competition diffusion systems: the role of interspecific competitions. Zbl 1256.35179
Lin, Guo; Li, Wan-Tong
33
2012
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
Asymptotic behaviour of functional-differential equations with proportional time delays. Zbl 0856.34078
Liu, Yunkang
32
1996
Non-local dispersal and bistability. Zbl 1114.35021
Hutson, V.; Grinfeld, M.
32
2006
Global existence of solutions for a chemotaxis-type system arising in crime modelling. Zbl 1284.35445
Manásevich, Raúl; Phan Quoc Hung; Souplet, Philippe
32
2013
Optimal design of periodic antireflective structures for the Helmholtz equation. Zbl 0806.35175
Dobson, David C.
31
1993
Explicit flock solutions for quasi-Morse potentials. Zbl 1304.82049
Carrillo, J. A.; Huang, Y.; Martin, S.
31
2014
Self-organised critical hot spots of criminal activity. Zbl 1233.91229
Berestycki, H.; Nadal, J.-P.
31
2010
Homogenisation of a locally periodic medium with areas of low and high diffusivity. Zbl 1233.35020
van Noorden, T. L.; Muntean, A.
31
2011
Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049
Girardin, Léo; Nadin, Grégoire
31
2015
Finding abstract Lie symmetry algebras of differential equations without integrating determining equations. Zbl 0768.35002
Reid, Gregory J.
30
1991
Laminates and microstructure. Zbl 0779.73050
Pedregal, Pablo
30
1993
Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049
Gualdini, Maria Pia; Jüngel, Ansgar
30
2004
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
30
2013
Steady state solutions of a bi-stable quasi-linear equation with saturating flux. Zbl 1219.35186
Burns, M.; Grinfeld, M.
29
2011
Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019
Ferreira, Raul; Bernis, Francisco
29
1997
Integrating factors and first integrals for ordinary differential equations. Zbl 0922.34006
Anco, Stephen C.; Bluman, George
29
1998
Spectral properties of the Neumann-Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system. Zbl 06903421
Ando, Kazunori; Ji, Yong-Gwan; Kang, Hyeonbae; Kim, Kyoungsun; Yu, Sanghyeon
29
2018
Two-dimensional Stokes and Hele-Shaw flows with free surfaces. Zbl 0955.76023
Cummings, L. J.; Howison, S. D.; King, J. R.
28
1999
Moving-boundary and fixed-domain problems for a sixth-order thin-film equation. Zbl 1105.76010
Flitton, J. C.; King, J. R.
28
2004
Solving high-dimensional optimal stopping problems using deep learning. Zbl 1505.91413
Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Welti, Timo
28
2021
On Hele-Shaw flow of power-law fluids. Zbl 0769.76003
Aronsson, Gunnar; Janfalk, Ulf
27
1992
Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058
Shi, Peter; Shillor, Meir
27
1990
Polynomial chaos for the approximation of uncertainties: Chances and limits. Zbl 1148.65004
Augustin, F.; Gilg, A.; Paffrath, M.; Rentrop, P.; Wever, U.
27
2008
Aggregation under local reinforcement: from lattice to continuum. Zbl 1062.92007
Horstmann, Dirk; Painter, Kevin J.; Othmer, Hans G.
27
2004
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
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
27
2019
Two-phase flow equations with a dynamic capillary pressure. Zbl 1261.76052
Koch, Jan; Rätz, Andreas; Schweizer, Ben
27
2013
Hotspot formation and dynamics for a continuum model of urban crime. Zbl 1408.91169
Tse, W. H.; Ward, M. J.
27
2016
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
Decay estimates of solutions for a hybrid system of flexible structures. Zbl 0786.73039
Rao, Bopeng
26
1993
Source-type solutions of the fourth-order unstable thin film equation. Zbl 1156.35387
Evans, J. D.; Galaktionov, V. A.; King, J. R.
26
2007
On a class of nonlocal continuity equations on graphs. Zbl 07930506
Esposito, Antonio; Patacchini, Francesco Saverio; Schlichting, André
2
2024
Resilience of dynamical systems. Zbl 07930508
Krakovská, Hana; Kuehn, Christian; Longo, Iacopo P.
1
2024
Generalised solution to a 2D parabolic-parabolic chemotaxis system for urban crime: global existence and large-time behaviour. Zbl 07930517
Li, Bin; Xie, Li
1
2024
Sharp asymptotic profile of the solution to a West Nile virus model with free boundary. Zbl 07930519
Wang, Zhiguo; Nie, Hua; Du, Yihong
1
2024
Absolute concentration robustness and multistationarity in reaction networks: conditions for coexistence. Zbl 07930524
Kaihnsa, Nidhi; Nguyen, Tung; Shiu, Anne
1
2024
On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism. Zbl 07930526
Salako, Rachidi B.; Wu, Yixiang
1
2024
Resilient tracking consensus over dynamic random graphs: a linear system approach. Zbl 1547.93019
Shang, Y.
5
2023
The stability analysis of a 2D Keller-Segel-Navier-Stokes system in fast signal diffusion. Zbl 07930473
Li, Min; Xiang, Zhaoyin; Zhou, Guanyu
5
2023
Asymptotic and transient dynamics of SEIR epidemic models on weighted networks. Zbl 07930475
Tian, Canrong; Liu, Zuhan; Ruan, Shigui
5
2023
Extended symmetry analysis of remarkable (1+2)-dimensional Fokker-Planck equation. Zbl 1522.35023
Koval, Serhii D.; Bihlo, Alexander; Popovych, Roman O.
5
2023
A homogenised model for the motion of evaporating fronts in porous media. Zbl 07930491
Luckins, Ellen K.; Breward, Christopher J. W.; Griffiths, Ian M.; Please, Colin P.
3
2023
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
Solving two-dimensional H(curl)-elliptic interface systems with optimal convergence on unfitted meshes. Zbl 07930490
Guo, Ruchi; Lin, Yanping; Zou, Jun
2
2023
Impacts of noise on quenching of some models arising in MEMS technology. Zbl 07930498
Drosinou, Ourania; Kavallaris, Nikos I.; Nikolopoulos, Christos V.
2
2023
Profiling ponded soil surface in saturated seepage into drain-line sink: Kalashnikov’s method of lateral leaching revisited. Zbl 1547.76098
Kacimov, A. R.; Obnosov, Yu. V.
1
2023
Homogenisation of a two-phase problem with nonlinear dynamic Wentzell-interface condition for connected-disconnected porous media. Zbl 07930484
Gahn, M.
1
2023
Convergence to a self-similar solution for a one-phase Stefan problem arising in corrosion theory. Zbl 07930487
Bouguezzi, M.; Hilhorst, D.; Miyamoto, Y.; Scheid, J.-F.
1
2023
Existence and uniqueness of solutions to a flow and transport problem with degenerating coefficients. Zbl 07930470
Ray, Nadja; Schulz, Raphael
1
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Variational model with nonstandard growth conditions for restoration of satellite optical images using synthetic aperture radar. Zbl 1547.49030
D’Apice, C.; Kogut, P. I.; Manzo, R.; Uvarov, M. V.
1
2023
Dimension reduction analysis of a three-dimensional thin elastic plate reinforced with fractal ribbons. Zbl 07930492
El Jarroudi, Mustapha; El Merzguioui, Mhamed; Er-Riani, Mustapha; Lahrouz, Aadil; El Amrani, Jamal
1
2023
Dynamics of a delayed population patch model with the dispersion matrix incorporating population loss. Zbl 07930493
Huang, Dan; Chen, Shanshan
1
2023
Increasing stability for the inverse source problem in elastic waves with attenuation. Zbl 07930494
Yuan, Ganghua; Zhao, Yue
1
2023
A nonconservative kinetic framework under the action of an external force field: theoretical results with application inspired to ecology. Zbl 07930496
Carbonaro, Bruno; Menale, Marco
1
2023
Exact nonclassical symmetry solutions of Lotka-Volterra-type population systems. Zbl 1522.35022
Broadbridge, P.; Cherniha, R. M.; Goard, J. M.
1
2023
Two approximate symmetry frameworks for nonlinear partial differential equations with a small parameter: comparisons, relations, approximate solutions. Zbl 1522.35024
Tarayrah, Mahmood R.; Pitzel, Brian; Cheviakov, Alexei
1
2023
Fluctuation response patterns of network dynamics – an introduction. Zbl 1517.93037
Zhang, Xiaozhu; Timme, Marc
1
2023
A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells. Zbl 1515.78032
Landstorfer, M.; Ohlberger, M.; Rave, S.; Tacke, 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
13
2022
Well-posedness of the Muskat problem in subcritical \(L_p\)-Sobolev spaces. Zbl 1504.35269
Abels, H.; Matioc, B.-V.
10
2022
Asymptotic propagations of a nonlocal dispersal population model with shifting habitats. Zbl 1504.35175
Qiao, Shao-Xia; Li, Wan-Tong; Wang, Jia-Bing
9
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
7
2022
Dynamics of an infection age-space structured cholera model with Neumann boundary condition. Zbl 1504.35055
Liu, Weiwei; Wang, Jinliang; Zhang, Ran
7
2022
Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations. Zbl 1509.37097
Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong
7
2022
A continuum limit for the PageRank algorithm. Zbl 1505.35124
Yuan, A.; Calder, J.; Osting, B.
6
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
Linear evolution equations on the half-line with dynamic boundary conditions. Zbl 1504.35011
Smith, D. A.; Toh, W. Y.
4
2022
Eigenoscillations in an angular domain and spectral properties of functional equations. Zbl 1504.35201
Lyalinov, M. A.
4
2022
Wave propagation in a diffusive SAIV epidemic model with time delays. Zbl 1504.35119
Zhou, Jiangbo; Li, Jinghuan; Wei, Jingdong; Tian, Lixin
4
2022
Direction-dependent turning leads to anisotropic diffusion and persistence. Zbl 1503.35239
Loy, N.; Hillen, T.; Painter, K. J.
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
Global solution to a three-dimensional spherical piston problem for the relativistic Euler equations. Zbl 1504.35260
Lai, Geng
3
2022
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.
3
2022
Geometric series expansion of the Neumann-Poincaré operator: application to composite materials. Zbl 1504.35039
Cherkaev, Elena; Kim, Minwoo; Lim, Mikyoung
3
2022
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.
3
2022
On travelling wave solutions of a model of a liquid film flowing down a fibre. Zbl 1504.35114
Ji, Hangjie; Taranets, Roman; Chugunova, Marina
3
2022
Mean-field models for segregation dynamics. Zbl 1504.35140
Burger, Martin; Pietschmann, Jan-Frederik; Ranetbauer, Helene; Schmeiser, Christian; Wolfram, Marie-Therese
2
2022
Postponing production exponentially enhances the molecular memory of a stochastic switch. Zbl 1518.92059
Bokes, Pavol
2
2022
On symmetric wedge mode of an elastic solid. Zbl 1504.35540
Nazarov, Alexander; Nazarov, Sergey; Zavorokhin, German
2
2022
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
2022
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
2022
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
2022
On a reaction-diffusion system modelling infectious diseases without lifetime immunity. Zbl 1504.35083
Yin, Hong-Ming
1
2022
Leidenfrost levitation of a spherical particle above a liquid bath: evolution of the vapour-film morphology with particle size. Zbl 1503.76106
Brandão, R.; Schnitzer, O.
1
2022
Mass-conserving diffusion-based dynamics on graphs. Zbl 1509.34029
Budd, J. M.; Van Gennip, Y.
1
2022
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
2022
Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves. Zbl 1503.74009
Van Meurs, Patrick
1
2022
Solving parametric PDE problems with artificial neural networks. Zbl 1501.65154
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
84
2021
Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion. Zbl 1505.35040
Jin, Hai-Yang; Wang, Zhi-An
61
2021
Solving high-dimensional optimal stopping problems using deep learning. Zbl 1505.91413
Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Welti, Timo
28
2021
A new class of hyperbolic variational-hemivariational inequalities driven by non-linear evolution equations. Zbl 1503.49014
Migórski, Stanisław; Han, Weimin; Zeng, Shengda
17
2021
A critical virus production rate for efficiency of oncolytic virotherapy. Zbl 1526.92012
Tao, Youshan; Winkler, Michael
17
2021
Structure-preserving deep learning. Zbl 1538.68038
Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schönlieb, C.-B.; Sherry, F.
17
2021
Learning and meta-learning of stochastic advection-diffusion-reaction systems from sparse measurements. Zbl 1538.68040
Chen, Xiaoli; Duan, Jinqiao; Karniadakis, George Em
17
2021
A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149
Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto
9
2021
Deep learning models for global coordinate transformations that linearise PDEs. Zbl 1479.35021
Gin, Craig; Lusch, Bethany; Brunton, Steven L.; Kutz, J. Nathan
8
2021
Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility. Zbl 1504.35076
Perthame, Benoît; Poulain, Alexandre
7
2021
Fano resonance in metallic grating via strongly coupled subwavelength resonators. Zbl 1504.35048
Lin, Junshan; Zhang, Hai
7
2021
Global and exponential attractor of the repulsive Keller-Segel model with logarithmic sensitivity. Zbl 1504.35062
Chen, Lin; Kong, Fanze; Wang, Qi
6
2021
Cahn-Hilliard equations on an evolving surface. Zbl 1479.35902
Caetano, D.; Elliott, C. M.
6
2021
Continuous-domain assignment flows. Zbl 1479.35904
Savarino, F.; Schnörr, C.
6
2021
Domain formation via phase separation for spherical biomembranes with small deformations. Zbl 1479.35013
Elliott, C. M.; Hatcher, L.
6
2021
A reaction-diffusion epidemic model with incubation period in almost periodic environments. Zbl 1479.35530
Qiang, Lizhong; Wang, Bin-Guo; Wang, Zhi-Cheng
6
2021
On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys. Zbl 1508.76087
Assunção, M.; Vynnycky, M.; Mitchell, S. L.
5
2021
Semi-analytical solution of a McKean-Vlasov equation with feedback through hitting a boundary. Zbl 1479.35534
Lipton, Alexander; Kaushansky, Vadim; Reisinger, Christoph
5
2021
Hopf bifurcation from spike solutions for the weak coupling Gierer-Meinhardt system. Zbl 1504.35034
Gomez, Daniel; Mei, Linfeng; Wei, Juncheng
4
2021
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.
4
2021
Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model. Zbl 1504.35020
Cherniha, R. M.; Davydovych, V. V.
4
2021
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
4
2021
Thin-layer solutions of the Helmholtz equation. Zbl 1478.78070
Ockendon, J. R.; Tew, R. H.
4
2021
Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning. Zbl 1505.68039
Wang, Bao; Osher, Stan J.
4
2021
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
2021
A novel Landau-de Gennes model with quartic elastic terms. Zbl 1505.35158
Golovaty, Dmitry; Novack, Michael; Sternberg, Peter
3
2021
A stochastic-statistical residential burglary model with independent Poisson clocks. Zbl 1499.60151
Wang, Chuntian; Zhang, Yuan; Bertozzi, Andrea L.; Short, Martin B.
2
2021
On the birth and death of algebraic limit cycles in quadratic differential systems. Zbl 1509.34032
Llibre, Jaume; Oliveira, Regilene; Zhao, Yulin
2
2021
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
Connections between deep learning and partial differential equations. Zbl 1479.35002
Burger, M.; E, W.; Ruthotto, L.; Osher, S. J.
2
2021
Existence and stability of bistable wavefronts in a nonlocal delayed reaction-diffusion epidemic system. Zbl 1504.35115
Li, Kun; Li, Xiong
1
2021
Existence and two-scale convergence of the generalised Poisson-Nernst-Planck problem with non-linear interface conditions. Zbl 1505.35027
Kovtunenko, V. A.; Zubkova, A. V.
1
2021
Homogenisation applied to thermal radiation in porous media. Zbl 1479.35062
Rooney, C. M.; Please, C. P.; Howison, S. D.
1
2021
Dispersive fractalisation in linear and nonlinear Fermi-Pasta-Ulam-Tsingou lattices. Zbl 1484.37093
Olver, Peter J.; Stern, Ari
1
2021
Localised signalling compartments in 2D coupled by a bulk diffusion field: quorum sensing and synchronous oscillations in the well-mixed limit. Zbl 1479.35051
Iyaniwura, Sarafa A.; Ward, Michael J.
1
2021
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
56
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.
20
2020
On the matrix Monge-Kantorovich problem. Zbl 1503.49031
Chen, Yongxin; Gangbo, Wilfrid; Georgiou, Tryphon T.; Tannenbaum, Allen
13
2020
Existence, uniqueness and stability of transition fronts of non-local equations in time heterogeneous bistable media. Zbl 1504.35116
Shen, Wenxian; Shen, Zhongwei
9
2020
The time-dependent Schrödinger equation with piecewise constant potentials. Zbl 1506.35187
Sheils, Natalie E.; Deconinck, Bernard
8
2020
Self-similar solutions of the radially symmetric relativistic Euler equations. Zbl 1504.35110
Lai, Geng
8
2020
Existence of travelling waves with the critical speed for an influenza model with treatment. Zbl 1504.35112
Deng, Dong; Zhang, Dongpei
7
2020
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Cited by 10,560 Authors

75 Wei, Juncheng
57 Ward, Michael J.
52 Garcke, Harald
50 Migórski, Stanisław
48 Kara, Abdul Hamid
48 Mu, Chunlai
48 Sofonea, Mircea
46 Gandarias Núñez, Maria Luz
44 Winkler, Michael
42 Bruzón, Maria Santos
35 Khalique, Chaudry Masood
30 King, John Robert
29 Carrillo de la Plata, José Antonio
28 Popovych, Roman O.
28 Rocca, Elisabetta
27 Kolokolnikov, Theodore
27 Nürnberg, Robert
26 Ammari, Habib
26 Anco, Stephen C.
26 Li, Wan-Tong
25 Cheviakov, Alexei F.
25 Kim, Junseok
25 Volpert, Vitaly A.
25 Wang, Zhian
24 Llibre, Jaume
24 Zheng, Pan
23 Chen, Wenbin
23 Zheng, Jiashan
22 Chen, Xinfu
22 Cherniha, Roman M.
22 Colli, Pierluigi
22 Galaktionov, Victor Aleksandrovich
22 Giné, Jaume
21 Jin, Haiyang
21 Majumdar, Apala
21 Pop, Iuliu Sorin
21 Qu, Changzheng
21 Shillor, Meir
21 Signori, Andrea
21 Vazquez, Juan Luis
20 Lin, Ke
20 Lustri, Christopher J.
20 McCue, Scott William
20 Sprekels, Jürgen
20 Vanden-Broeck, Jean-Marc
20 Winter, Matthias
19 Bluman, George Wallace
19 Clarkson, Peter A.
19 Dutykh, Denys
19 Han, Weimin
19 Liu, Hongyu
19 Wang, Liangchen
18 Bürger, Raimund
18 Byrne, Helen Mary
18 Friedman, Avner
18 Jüngel, Ansgar
18 Matioc, Bogdan-Vasile
18 Painter, Kevin J.
18 Wu, Hao
17 Elliott, Charles M.
17 Hintermüller, Michael
17 Lam, Kei Fong
17 Li, Yuxiang
17 Lin, Guo
17 Mahomed, Fazal M.
17 Münch, Arnaud
17 Sophocleous, Christodoulos
17 Witelski, Thomas P.
17 Zhang, Mingji
16 Escher, Joachim
16 Gancedo, Francisco
16 Gilardi, Gianni
16 Kang, Hyeonbae
16 Miranville, Alain M.
16 Radkevich, Evgeniĭ Vladimirovich
16 van Brunt, Bruce
16 Wang, Cheng
16 Wang, Zhicheng
15 Cummings, Linda J.
15 Grasselli, Maurizio
15 Hilhorst, Danielle
15 Lowengrub, John Samuel
15 Momoniat, Ebrahim
15 Muñoz Rivera, Jaime Edilberto
15 Özer, Teoman
15 Papageorgiou, Demetrios T.
15 Recio, Elena
15 Tao, Youshan
15 Yousept, Irwin
15 Zhang, Zhiyong
14 Barrett, John William
14 Bertozzi, Andrea Louise
14 Freire, Igor Leite
14 Kalliadasis, Serafim
14 Kühn, Christian
14 Lou, Yuan
14 Oliver, James M.
14 Pulch, Roland
14 Rossi, Riccarda
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378 Journal of Mathematical Analysis and Applications
339 Journal of Differential Equations
211 Journal of Fluid Mechanics
210 European Journal of Applied Mathematics
202 Applied Mathematics and Computation
197 Physica D
194 Journal of Computational Physics
177 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
168 Mathematical Methods in the Applied Sciences
155 Nonlinear Analysis. Real World Applications
146 Discrete and Continuous Dynamical Systems. Series B
131 Computers & Mathematics with Applications
127 Journal of Computational and Applied Mathematics
116 Communications in Nonlinear Science and Numerical Simulation
114 Archive for Rational Mechanics and Analysis
112 ZAMP. Zeitschrift für angewandte Mathematik und Physik
108 SIAM Journal on Applied Mathematics
102 Applied Mathematics Letters
101 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
97 Journal of Engineering Mathematics
92 Journal of Mathematical Biology
91 SIAM Journal on Mathematical Analysis
86 Journal of Mathematical Physics
79 Discrete and Continuous Dynamical Systems
76 Applicable Analysis
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74 Journal of Scientific Computing
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72 Calculus of Variations and Partial Differential Equations
67 Journal of Dynamics and Differential Equations
65 Inverse Problems
64 Computer Methods in Applied Mechanics and Engineering
64 Studies in Applied Mathematics
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58 Physics of Fluids
58 SIAM Journal on Applied Dynamical Systems
56 Bulletin of Mathematical Biology
55 Journal of Mathematical Sciences (New York)
52 Acta Applicandae Mathematicae
52 Applied Mathematical Modelling
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50 Journal of Theoretical Biology
48 Applied Mathematics and Optimization
46 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
45 Physics Letters. A
44 Communications in Partial Differential Equations
43 Numerische Mathematik
42 Journal de Mathématiques Pures et Appliquées. Neuvième Série
41 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
40 NoDEA. Nonlinear Differential Equations and Applications
40 Communications on Pure and Applied Analysis
35 Numerical Methods for Partial Differential Equations
35 SIAM Journal on Scientific Computing
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34 Mathematics and Computers in Simulation
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34 Boundary Value Problems
33 Wave Motion
33 Transactions of the American Mathematical Society
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31 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
30 International Journal of Engineering Science
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28 European Journal of Mechanics. B. Fluids
28 Mathematical Biosciences and Engineering
27 Communications in Mathematical Physics
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27 Abstract and Applied Analysis
26 Quarterly of Applied Mathematics
26 SIAM Journal on Numerical Analysis
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Advances in Difference Equations
25 International Journal of Computer Mathematics
23 Journal of Functional Analysis
23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
23 Qualitative Theory of Dynamical Systems
23 Journal of Evolution Equations
22 SIAM Journal on Control and Optimization
22 Journal of Physics A: Mathematical and Theoretical
22 Inverse Problems and Imaging
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21 Numerical Algorithms
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20 Physica A
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20 Science China. Mathematics
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