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. all top 5 Latest Issues 34, No. 5 (2023) 34, No. 3 (2023) 33, No. 6 (2022) 33, No. 5 (2022) 33, No. 4 (2022) 33, No. 3 (2022) 33, No. 2 (2022) 33, No. 1 (2022) 32, No. 6 (2021) 32, No. 5 (2021) 32, No. 4 (2021) 32, No. 3 (2021) 32, No. 2 (2021) 32, No. 1 (2021) 31, No. 6 (2020) 31, No. 5 (2020) 31, No. 4 (2020) 31, No. 3 (2020) 31, No. 2 (2020) 31, No. 1 (2020) 30, No. 6 (2019) 30, No. 5 (2019) 30, No. 4 (2019) 30, No. 3 (2019) 30, No. 2 (2019) 30, No. 1 (2019) 29, No. 6 (2018) 29, No. 5 (2018) 29, No. 4 (2018) 29, No. 3 (2018) 29, No. 2 (2018) 29, No. 1 (2018) 28, No. 6 (2017) 28, No. 5 (2017) 28, No. 4 (2017) 28, No. 3 (2017) 28, No. 2 (2017) 28, No. 1 (2017) 27, No. 6 (2016) 27, No. 5 (2016) 27, No. 4 (2016) 27, No. 3 (2016) 27, No. 2 (2016) 27, No. 1 (2016) 26, No. 6 (2015) 26, No. 5 (2015) 26, No. 4 (2015) 26, No. 3 (2015) 26, No. 2 (2015) 26, No. 1 (2015) 25, No. 6 (2014) 25, No. 5 (2014) 25, No. 4 (2014) 25, No. 3 (2014) 25, No. 2 (2014) 25, No. 1 (2014) 24, No. 6 (2013) 24, No. 5 (2013) 24, No. 4 (2013) 24, No. 3 (2013) 24, No. 2 (2013) 24, No. 1 (2013) 23, No. 6 (2012) 23, No. 5 (2012) 23, No. 4 (2012) 23, No. 3 (2012) 23, No. 2 (2012) 23, No. 1 (2012) 22, No. 6 (2011) 22, No. 5 (2011) 22, No. 4 (2011) 22, No. 3 (2011) 22, No. 2 (2011) 22, No. 1 (2011) 21, No. 6 (2010) 21, No. 4-5 (2010) 21, No. 3 (2010) 21, No. 2 (2010) 21, No. 1 (2010) 20, No. 6 (2009) 20, No. 5 (2009) 20, No. 4 (2009) 20, No. 3 (2009) 20, No. 2 (2009) 20, No. 1 (2009) 19, No. 6 (2008) 19, No. 5 (2008) 19, No. 4 (2008) 19, No. 3 (2008) 19, No. 2 (2008) 19, No. 1 (2008) 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 all top 5 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 1,506 more Authors all top 5 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 901 Publications have been cited 10,108 times in 8,184 Documents Cited by ▼ Year ▼ Blow-up in a chemotaxis model without symmetry assumptions. Zbl 1017.92006 Horstmann, Dirk; Wang, Guofang 298 2001 Symmetry-based algorithms to relate partial differential equations. I: Local symmetries. Zbl 0718.35003 Bluman, G. W.; Kumei, S. 210 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 189 2002 Propagation of frontal polymerization-crystallization waves. Zbl 0805.35143 Volpert, Vit.; Volpert, Vl. 181 1994 Direct construction method for conservation laws of partial differential equations. II: General treatment. Zbl 1034.35071 Anco, Stephen C.; Bluman, George 179 2002 Symmetry-based algorithms to relate partial differential equations. II: Linearization by nonlocal symmetries. Zbl 0718.35004 Bluman, G. W.; Kumei, S. 178 1990 On the generalized pantograph functional-differential equation. Zbl 0767.34054 Iserles, A. 130 1993 Mathematics of thermoacoustic tomography. Zbl 1185.35327 Kuchment, Peter; Kunyansky, Leonid 115 2008 Some mathematical results in the pricing of American options. Zbl 0797.60051 Dewynne, J. N.; Howison, S. D.; Rupf, I.; Wilmott, P. 111 1993 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. 107 1991 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. 105 1996 Thin film epitaxy with or without slope selection. Zbl 1059.35059 Li, Bo; Liu, Jian-Guo 89 2003 A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001 Burger, Martin; Osher, Stanley J. 89 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 74 2002 Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016 Byrne, H. M.; Chaplain, M. A. J. 72 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 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 64 2011 History-dependent quasi-variational inequalities arising in contact mechanics. Zbl 1226.49012 Sofonea, Mircea; Matei, Andaluzia 64 2011 A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018 Alberti, Giovanni; Bellettini, Giovanni 64 1998 Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505 Esedoglu, Selim; Shen, Jianhong 63 2002 Complex variable methods in Hele-Shaw moving boundary problems. Zbl 0759.76022 Howison, S. D. 63 1992 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 60 2015 Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007 Constantin, Adrian; Escher, Joachim 58 2004 Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011 Garcke, Harald; Lam, Kei Fong 58 2017 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 55 1990 Multi-components chemotactic system in the absence of conflicts. Zbl 1008.92008 Wolansky, G. 53 2002 An \(n\)-populations model for traffic flow. Zbl 1143.82323 Benzoni-Gavage, Sylvie; Colombo, Rinaldo M. 53 2003 Solving parametric PDE problems with artificial neural networks. Zbl 1501.65154 Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing 53 2021 On the Bean critical-state model in superconductivity. Zbl 0873.49007 Prigozhin, L. 49 1996 How to construct the discrete symmetries of partial differential equations. Zbl 1035.35005 Hydon, P. E. 47 2000 Thermal runaway in a non-local problem modelling Ohmic heating. I: Model derivation and some special cases. Zbl 0843.35008 Lacey, A. A. 46 1995 Variational model of sandpile growth. Zbl 0913.73079 Prigozhin, Leonid 45 1996 Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems. Zbl 1439.74230 Sofonea, Mircea; Han, Weimin; Migórski, Stanisław 43 2015 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. 42 1991 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 Analysis of a mixture model of tumor growth. Zbl 1292.35153 Lowengrub, John; Titi, Edriss; Zhao, Kun 42 2013 Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023 Amick, C. J.; Toland, J. F. 41 1992 Reduction of systems of nonlinear partial differential equations to simplified involutive forms. Zbl 0892.35041 Reid, Gregory J.; Wittkopf, Allan D.; Boulton, Alan 41 1996 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. 40 2005 A mean-field model of superconducting vortices. Zbl 0849.35135 Chapman, S. J.; Rubinstein, J.; Schatzman, M. 39 1996 Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations. Zbl 1400.65053 Dutykh, Denys; Clamond, Didier; Milewski, Paul; Mitsotakis, Dimitrios 39 2013 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. 38 2005 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 Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion. Zbl 1505.35040 Jin, Hai-Yang; Wang, Zhi-An 37 2021 Interpolation of spatial data – a stochastic or a deterministic problem? Zbl 1426.62284 Scheuerer, M.; Schaback, R.; Schlather, M. 37 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. 36 1995 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 Moment-free numerical approximation of highly oscillatory integrals with stationary points. Zbl 1153.65325 Olver, Sheehan 36 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. 35 2000 Asymmetric spike patterns for the one-dimensional Gierer-Meinhardt model: Equilibria and stability. Zbl 1010.35002 Ward, M. J.; Wei, J. 35 2002 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 35 2020 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 Non-local dispersal and bistability. Zbl 1114.35021 Hutson, V.; Grinfeld, M. 32 2006 Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. Zbl 0922.35033 Cherniha, Roman; Serov, Mykola 32 1998 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. 32 2009 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003 Cakoni, F.; Colton, D. 32 2005 Asymptotic behaviour of functional-differential equations with proportional time delays. Zbl 0856.34078 Liu, Yunkang 32 1996 Homogenisation of a locally periodic medium with areas of low and high diffusivity. Zbl 1233.35020 van Noorden, T. L.; Muntean, A. 30 2011 New exact solutions of the Boussinesq equation. Zbl 0721.35074 Clarkson, Peter A. 30 1990 Steady state solutions of a bi-stable quasi-linear equation with saturating flux. Zbl 1219.35186 Burns, M.; Grinfeld, M. 29 2011 Explicit flock solutions for quasi-Morse potentials. Zbl 1304.82049 Carrillo, J. A.; Huang, Y.; Martin, S. 29 2014 Self-organised critical hot spots of criminal activity. Zbl 1233.91229 Berestycki, H.; Nadal, J.-P. 29 2010 Moving-boundary and fixed-domain problems for a sixth-order thin-film equation. Zbl 1105.76010 Flitton, J. C.; King, J. R. 28 2004 Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049 Gualdini, Maria Pia; Jüngel, Ansgar 28 2004 Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019 Ferreira, Raul; Bernis, Francisco 28 1997 Laminates and microstructure. Zbl 0779.73050 Pedregal, Pablo 28 1993 Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049 Girardin, Léo; Nadin, Grégoire 28 2015 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 Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302 Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G. 28 2019 Asymptotic spreading of competition diffusion systems: the role of interspecific competitions. Zbl 1256.35179 Lin, Guo; Li, Wan-Tong 28 2012 An Abel ordinary differential equation class generalizing known integrable classes. Zbl 1046.34004 Cheb-Terrab, E. S.; Roche, A. D. 27 2003 Integrating factors and first integrals for ordinary differential equations. Zbl 0922.34006 Anco, Stephen C.; Bluman, George 27 1998 On the computation of blow-up. Zbl 0701.76038 Stuart, A. M.; Floater, M. S. 27 1990 Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058 Shi, Peter; Shillor, Meir 27 1990 Two-dimensional Stokes and Hele-Shaw flows with free surfaces. Zbl 0955.76023 Cummings, L. J.; Howison, S. D.; King, J. R. 26 1999 Non-linear effects on canonical MEMS models. Zbl 1252.78010 Brubaker, Nicholas D.; Pelesko, John A. 26 2011 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 Optimal design of periodic antireflective structures for the Helmholtz equation. Zbl 0806.35175 Dobson, David C. 26 1993 A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120 Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D. 25 1995 On the asymptotics of solutions of a class of linear functional-differential equations. Zbl 0859.34049 Derfel, G.; Vogl, F. 25 1996 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 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 25 2013 Source-type solutions of the fourth-order unstable thin film equation. Zbl 1156.35387 Evans, J. D.; Galaktionov, V. A.; King, J. R. 24 2007 Polynomial chaos for the approximation of uncertainties: Chances and limits. Zbl 1148.65004 Augustin, F.; Gilg, A.; Paffrath, M.; Rentrop, P.; Wever, U. 24 2008 Transport equations with resting phases. Zbl 1050.92052 Hillen, T. 24 2003 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. 24 1997 On Hele-Shaw flow of power-law fluids. Zbl 0769.76003 Aronsson, Gunnar; Janfalk, Ulf 24 1992 Oscillatory instabilities and dynamics of multi-spike patterns for the one-dimensional Gray-Scott model. Zbl 1197.35021 Chen, Wan; Ward, Michael J. 23 2009 Aggregation under local reinforcement: from lattice to continuum. Zbl 1062.92007 Horstmann, Dirk; Painter, Kevin J.; Othmer, Hans G. 23 2004 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 Exact nonclassical symmetry solutions of Lotka-Volterra-type population systems. Zbl 1522.35022 Broadbridge, P.; Cherniha, R. M.; Goard, J. M. 1 2023 Extended symmetry analysis of remarkable (1+2)-dimensional Fokker-Planck equation. Zbl 1522.35023 Koval, Serhii D.; Bihlo, Alexander; Popovych, Roman O. 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 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 A continuum limit for the PageRank algorithm. Zbl 1505.35124 Yuan, A.; Calder, J.; Osting, B. 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 2022 Dynamics of an infection age-space structured cholera model with Neumann boundary condition. Zbl 1504.35055 Liu, Weiwei; Wang, Jinliang; Zhang, Ran 3 2022 Eigenoscillations in an angular domain and spectral properties of functional equations. Zbl 1504.35201 Lyalinov, M. A. 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 Geometric series expansion of the Neumann-Poincaré operator: application to composite materials. Zbl 1504.35039 Cherkaev, Elena; Kim, Minwoo; Lim, Mikyoung 2 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. 2 2022 Direction-dependent turning leads to anisotropic diffusion and persistence. Zbl 1503.35239 Loy, N.; Hillen, T.; Painter, K. J. 2 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. 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 Global solution to a three-dimensional spherical piston problem for the relativistic Euler equations. Zbl 1504.35260 Lai, Geng 1 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 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 2022 Wave propagation in a diffusive SAIV epidemic model with time delays. Zbl 1504.35119 Zhou, Jiangbo; Li, Jinghuan; Wei, Jingdong; Tian, Lixin 1 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 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 Solving parametric PDE problems with artificial neural networks. Zbl 1501.65154 Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing 53 2021 Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion. Zbl 1505.35040 Jin, Hai-Yang; Wang, Zhi-An 37 2021 Solving high-dimensional optimal stopping problems using deep learning. Zbl 1505.91413 Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Welti, Timo 19 2021 Learning and meta-learning of stochastic advection-diffusion-reaction systems from sparse measurements. Zbl 07441294 Chen, Xiaoli; Duan, Jinqiao; Karniadakis, George Em 13 2021 Structure-preserving deep learning. Zbl 07440570 Celledoni, E.; Ehrhardt, M. J.; Etmann, C.; McLachlan, R. I.; Owren, B.; Schonlieb, C.-B.; Sherry, F. 13 2021 A critical virus production rate for efficiency of oncolytic virotherapy. Zbl 1526.92012 Tao, Youshan; Winkler, Michael 12 2021 A new class of hyperbolic variational-hemivariational inequalities driven by non-linear evolution equations. Zbl 1503.49014 Migórski, Stanisław; Han, Weimin; Zeng, Shengda 10 2021 A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149 Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto 5 2021 Deep learning models for global coordinate transformations that linearise PDEs. Zbl 1479.35021 Gin, Craig; Lusch, Bethany; Brunton, Steven L.; Kutz, J. Nathan 5 2021 Continuous-domain assignment flows. Zbl 1479.35904 Savarino, F.; Schnörr, C. 5 2021 Global and exponential attractor of the repulsive Keller-Segel model with logarithmic sensitivity. Zbl 1504.35062 Chen, Lin; Kong, Fanze; Wang, Qi 5 2021 Cahn-Hilliard equations on an evolving surface. Zbl 1479.35902 Caetano, D.; Elliott, C. M. 4 2021 Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility. Zbl 1504.35076 Perthame, Benoît; Poulain, Alexandre 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 Fano resonance in metallic grating via strongly coupled subwavelength resonators. Zbl 1504.35048 Lin, Junshan; Zhang, Hai 4 2021 Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning. Zbl 1505.68039 Wang, Bao; Osher, Stan J. 3 2021 Semi-analytical solution of a McKean-Vlasov equation with feedback through hitting a boundary. 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Zbl 1429.81039 Chen, Yongxin; Georgiou, Tryphon T.; Tannenbaum, Allen 6 2019 ...and 801 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,493 Authors 71 Wei, Juncheng 53 Ward, Michael J. 47 Garcke, Harald 47 Sofonea, Mircea 46 Migórski, Stanisław 46 Mu, Chunlai 43 Winkler, Michael 41 Gandarias Núñez, Maria Luz 40 Kara, Abdul Hamid 36 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 Volpert, Vitaly A. 25 Zheng, Pan 24 Anco, Stephen C. 23 Ammari, Habib 23 Zheng, Jiashan 22 Galaktionov, Victor Aleksandrovich 22 Li, Wan-Tong 22 Popovych, Roman O. 21 Chen, Wenbin 21 Chen, Xinfu 21 Colli, Pierluigi 21 Kim, Junseok 21 Llibre, Jaume 21 Shillor, Meir 21 Vazquez, Juan Luis 20 Majumdar, Apala 20 Signori, Andrea 20 Vanden-Broeck, Jean-Marc 20 Wang, Zhian 20 Winter, Matthias 19 Byrne, Helen Mary 19 Cherniha, Roman M. 19 Cheviakov, Alexei F. 19 Friedman, Avner 19 Jin, Haiyang 19 Pop, Iuliu Sorin 19 Qu, Changzheng 18 Dutykh, Denys 18 Giné, Jaume 18 Lustri, Christopher J. 18 McCue, Scott William 18 Sprekels, Jürgen 18 Wang, Liangchen 17 Clarkson, Peter A. 17 Elliott, Charles M. 17 Han, Weimin 17 Hintermüller, Michael 17 Jüngel, Ansgar 17 Mahomed, Fazal M. 17 Sophocleous, Christodoulos 17 Witelski, Thomas P. 16 Bürger, Raimund 16 Gancedo, Francisco 16 Lam, Kei Fong 16 Lin, Ke 16 Liu, Hongyu 16 Matioc, Bogdan-Vasile 16 Münch, Arnaud 16 Radkevich, Evgeniĭ Vladimirovich 15 Bluman, George Wallace 15 Cummings, Linda J. 15 Escher, Joachim 15 Gilardi, Gianni 15 Miranville, Alain M. 15 Momoniat, Ebrahim 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 Muñoz Rivera, Jaime Edilberto 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 Iserles, Arieh 13 Kühn, Christian 13 Lowengrub, John Samuel ...and 9,393 more Authors all top 5 Cited in 637 Journals 352 Journal of Mathematical Analysis and Applications 312 Journal of Differential Equations 200 Applied Mathematics and Computation 192 Journal of Fluid Mechanics 190 European Journal of Applied Mathematics 176 Physica D 172 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 171 Journal of Computational Physics 143 Nonlinear Analysis. Real World Applications 133 Discrete and Continuous Dynamical Systems. Series B 116 Journal of Computational and Applied Mathematics 114 Computers & Mathematics with Applications 107 Archive for Rational Mechanics and Analysis 99 ZAMP. Zeitschrift für angewandte Mathematik und Physik 97 M\(^3\)AS. 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Theory, Methods & Applications 18 Journal of Statistical Physics 18 Numerical Algorithms 18 Continuum Mechanics and Thermodynamics 18 Advances in Computational Mathematics ...and 537 more Journals all top 5 Cited in 61 Fields 5,028 Partial differential equations (35-XX) 1,759 Fluid mechanics (76-XX) 1,483 Numerical analysis (65-XX) 1,452 Biology and other natural sciences (92-XX) 828 Mechanics of deformable solids (74-XX) 787 Ordinary differential equations (34-XX) 592 Calculus of variations and optimal control; optimization (49-XX) 497 Dynamical systems and ergodic theory (37-XX) 469 Statistical mechanics, structure of matter (82-XX) 357 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 336 Probability theory and stochastic processes (60-XX) 317 Classical thermodynamics, heat transfer (80-XX) 286 Optics, electromagnetic theory (78-XX) 251 Operator theory (47-XX) 217 Computer science (68-XX) 200 Global analysis, analysis on manifolds (58-XX) 173 Integral equations (45-XX) 169 Systems theory; control (93-XX) 138 Operations research, mathematical programming (90-XX) 112 Statistics (62-XX) 108 Information and communication theory, circuits (94-XX) 99 Approximations and expansions (41-XX) 98 Mechanics of particles and systems (70-XX) 90 Differential geometry (53-XX) 87 Geophysics (86-XX) 72 Quantum theory (81-XX) 65 Real functions (26-XX) 60 Functions of a complex variable (30-XX) 58 Functional analysis (46-XX) 57 Measure and integration (28-XX) 57 Difference and functional equations (39-XX) 52 Harmonic analysis on Euclidean spaces (42-XX) 44 Integral transforms, operational calculus (44-XX) 43 Special functions (33-XX) 35 Combinatorics (05-XX) 35 Topological groups, Lie groups (22-XX) 27 Potential theory (31-XX) 26 Relativity and gravitational theory (83-XX) 24 General and overarching topics; collections (00-XX) 20 Nonassociative rings and algebras (17-XX) 15 Field theory and polynomials (12-XX) 13 Commutative algebra (13-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 6 Algebraic geometry (14-XX) 5 History and biography (01-XX) 4 Geometry (51-XX) 4 Astronomy and astrophysics (85-XX) 3 Group theory and generalizations (20-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Algebraic topology (55-XX) Citations by Year