# zbMATH — the first resource for mathematics

## 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: Indexed cover-to-cover; incorporated: Surveys on Mathematics for Industry (ISSN 0938-1953)
 Documents Indexed: 964 Publications (since 1990) References Indexed: 592 Publications with 15,133 References.
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#### Latest Issues

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#### Authors

 26 King, John Robert 20 Ward, Michael J. 14 Chapman, Stephen Jonathan 10 Cummings, Linda J. 10 Howison, Sam D. 10 Knessl, Charles 10 Lacey, Andrew A. 10 Wei, Juncheng 9 Chen, Xinfu 9 Richardson, Stanley 8 Galaktionov, Victor Aleksandrovich 8 Matkowsky, Bernard J. 8 Movchan, Alexander B. 7 Entov, Vladimir M. 7 Hocking, Graeme Charles 7 Kolokolnikov, Theodore 7 Peletier, Lambertus Adrianus 7 Shearer, Michael 7 Vanden-Broeck, Jean-Marc 6 Bluman, George W. 6 Elliott, Charles M. 6 Forbes, Lawrence K. 6 Gourley, Stephen A. 6 Prokert, Georg 6 Shillor, Meir 6 Sofonea, Mircea 6 Vazquez, Juan Luis 5 Bertsch, Michiel 5 Etingof, Pavel Il’ich 5 Hastings, Stuart P. 5 Howell, Peter D. 5 Hulshof, Josephus 5 Kuske, Rachel A. 5 Tzou, Justin C. 5 van Duijn, Cornelis Johannes 5 Velázquez, Juan J. L. 5 Witelski, Thomas P. 4 Ammari, Habib M. 4 Anco, Stephen C. 4 Aronson, Donald G. 4 Bertozzi, Andrea Louise 4 Blowey, James F. 4 Bowen, Mark 4 Byatt-Smith, John G. B. 4 Byrne, Helen Mary 4 Chadam, John M. 4 Crowdy, Darren Gregory 4 Evans, Jonathan David 4 Friedman, Avner 4 Glasner, Karl B. 4 Gnann, Manuel V. 4 Grinfeld, Michael 4 Hilhorst, Danielle 4 Iron, David 4 Kang, Hyeonbae 4 Münch, Andreas 4 Ockendon, John R. 4 Painter, Kevin J. 4 Peletier, Mark Adriaan 4 Please, Colin P. 4 Primicerio, Mario 4 Smith, Frank T. 4 Terrill, E. L. 4 Tew, Richard H. 4 van den Berg, Jan Bouwe 4 Volpert, Vitaly A. 4 Wagner, Barbara A. 4 Wake, Graeme Charles 3 Aftalion, Amandine 3 Aslanyan, A. G. 3 Atkinson, Colin 3 Barenblatt, Grigory Isaakovich 3 Brubaker, Nicholas D. 3 Burger, Martin 3 Cheb-Terrab, E. S. 3 Cherniha, Roman M. 3 Cimatti, Giovanni 3 Clarkson, Peter A. 3 Craster, Richard V. 3 Danilov, Vladimir G. 3 Dewynne, Jeffrey N. 3 Du, Qiang 3 Duffy, Brian Reginald 3 Eberl, Hermann J. 3 Erneux, Thomas 3 Escher, Joachim 3 Fernández, Jose Ramon 3 Fokas, Athanassios S. 3 Fry, Hannah M. 3 Garcke, Harald 3 Giacomelli, Lorenzo 3 Helffer, Bernard 3 Herrero, Miguel Ángel 3 Hillen, Thomas 3 Holmes, R. J. 3 Iserles, Arieh 3 Jiang, Lishang 3 Jüngel, Ansgar 3 Kaltenbacher, Barbara 3 Kaltenbacher, Manfred ...and 1,255 more Authors
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#### Fields

 503 Partial differential equations (35-XX) 330 Fluid mechanics (76-XX) 121 Mechanics of deformable solids (74-XX) 108 Statistical mechanics, structure of matter (82-XX) 98 Biology and other natural sciences (92-XX) 82 Ordinary differential equations (34-XX) 82 Classical thermodynamics, heat transfer (80-XX) 67 Numerical analysis (65-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Probability theory and stochastic processes (60-XX) 51 Optics, electromagnetic theory (78-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 35 Dynamical systems and ergodic theory (37-XX) 23 Computer science (68-XX) 21 Systems theory; control (93-XX) 19 Functions of a complex variable (30-XX) 19 Operations research, mathematical programming (90-XX) 18 Geophysics (86-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Integral equations (45-XX) 15 Information and communication theory, circuits (94-XX) 14 Statistics (62-XX) 13 Combinatorics (05-XX) 11 General and overarching topics; collections (00-XX) 8 Operator theory (47-XX) 7 Approximations and expansions (41-XX) 6 Special functions (33-XX) 6 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral transforms, operational calculus (44-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 Potential theory (31-XX) 1 Sequences, series, summability (40-XX)

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767 Publications have been cited 7,537 times in 6,160 Documents Cited by Year
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Blow-up in a chemotaxis model without symmetry assumptions. Zbl 1017.92006
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Symmetry-based algorithms to relate partial differential equations. II: Linearization by nonlocal symmetries. Zbl 0718.35004
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Propagation of frontal polymerization-crystallization waves. Zbl 0805.35143
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Direct construction method for conservation laws of partial differential equations. I: Examples of conservation law classifications. Zbl 1034.35070
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2002
Direct construction method for conservation laws of partial differential equations. II: General treatment. Zbl 1034.35071
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2002
On the generalized pantograph functional-differential equation. Zbl 0767.34054
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Some mathematical results in the pricing of American options. Zbl 0797.60051
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1993
Mathematics of thermoacoustic tomography. Zbl 1185.35327
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2008
A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001
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2005
The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. I: Mathematical analysis. Zbl 0797.35172
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The Cahn-Hilliard equation with a concentration dependent mobility: Motion by minus the Laplacian of the mean curvature. Zbl 0861.35039
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On single interior spike solutions of the Gierer-Meinhardt system: Uniqueness and spectrum estimates. Zbl 1014.35005
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1999
A comparison of four approaches to the calculation of conservation laws. Zbl 1002.35008
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2002
Convergence of the phase field model to its sharp interface limits. Zbl 0930.35024
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1998
Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
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Thin film epitaxy with or without slope selection. Zbl 1059.35059
Li, Bo; Liu, Jian-Guo
2003
Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016
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1997
Complex variable methods in Hele-Shaw moving boundary problems. Zbl 0759.76022
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1992
A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018
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Solutions for the two-phase Stefan problem with the Gibbs-Thomson law for the melting temperature. Zbl 0734.35159
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1990
Symmetry of steady deep-water waves with vorticity. Zbl 1125.76007
2004
Digital inpainting based on the Mumford-Shah-Euler image model. Zbl 1017.94505
Esedoglu, Selim; Shen, Jianhong
2002
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
2011
Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory. Zbl 1253.82089
Majumdar, Apala
2010
Well-posedness of two-phase Hele-Shaw flow without surface tension. Zbl 1076.76027
Ambrose, David M.
2004
An $$n$$-populations model for traffic flow. Zbl 1143.82323
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.
2003
History-dependent quasi-variational inequalities arising in contact mechanics. Zbl 1226.49012
Sofonea, Mircea; Matei, Andaluzia
2011
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.
1991
Thermal runaway in a non-local problem modelling Ohmic heating. I: Model derivation and some special cases. Zbl 0843.35008
Lacey, A. A.
1995
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.
1992
On the Bean critical-state model in superconductivity. Zbl 0873.49007
Prigozhin, L.
1996
Multi-components chemotactic system in the absence of conflicts. Zbl 1008.92008
Wolansky, G.
2002
Variational model of sandpile growth. Zbl 0913.73079
Prigozhin, Leonid
1996
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023
Amick, C. J.; Toland, J. F.
1992
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.
2005
Propagation of hexagonal patterns near onset. Zbl 1044.37049
Doelman, Arjen; Sandstede, Björn; Scheel, Arnd; Schneider, Guido
2003
How to construct the discrete symmetries of partial differential equations. Zbl 1035.35005
Hydon, P. E.
2000
A mean-field model of superconducting vortices. Zbl 0849.35135
Chapman, S. J.; Rubinstein, J.; Schatzman, M.
1996
Moment-free numerical approximation of highly oscillatory integrals with stationary points. Zbl 1153.65325
Olver, Sheehan
2007
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald; Lam, Kei Fong
2017
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. Zbl 0922.35033
Cherniha, Roman; Serov, Mykola
1998
Reduction of systems of nonlinear partial differential equations to simplified involutive forms. Zbl 0892.35041
Reid, Gregory J.; Wittkopf, Allan D.; Boulton, Alan
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.
2008
A selfsimilar solution to the focusing problem for the porous medium equation. Zbl 0780.35079
Aronson, D. G.; Graveleau, J.
1993
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.
1995
Properties of steady states for thin film equations. Zbl 1041.76008
Laugesen, R. S.; Pugh, M. C.
2000
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
2013
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
2001
Asymmetric spike patterns for the one-dimensional Gierer-Meinhardt model: Equilibria and stability. Zbl 1010.35002
Ward, M. J.; Wei, J.
2002
Asymptotic behaviour of functional-differential equations with proportional time delays. Zbl 0856.34078
Liu, Yunkang
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.
2005
Hopf bifurction of spike solutions for the shadow Gierer-Meinhardt model. Zbl 1063.35030
Ward, M. J.; Wei, J.
2003
On a diffuse interface model of tumour growth. Zbl 1375.92031
Frigeri, Sergio; Grasselli, Maurizio; Rocca, Elisabetta
2015
Numerical analysis of history-dependent variational-hemivariational inequalities with applications to contact problems. Zbl 1439.74230
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2015
New exact solutions of the Boussinesq equation. Zbl 0721.35074
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1990
A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay. Zbl 1079.35015
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2005
Laminates and microstructure. Zbl 0779.73050
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1993
A general construction of fractal interpolation functions on grids of $$\mathbb R$$. Zbl 1153.41306
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2007
Interpolation of spatial data – a stochastic or a deterministic problem? Zbl 1426.62284
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2013
Source-type solutions to thin-film equations in higher dimensions. Zbl 0894.76019
Ferreira, Raul; Bernis, Francisco
1997
A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120
Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D.
1995
Steady state solutions of a bi-stable quasi-linear equation with saturating flux. Zbl 1219.35186
Burns, M.; Grinfeld, M.
2011
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations. Zbl 1400.65053
Dutykh, Denys; Clamond, Didier; Milewski, Paul; Mitsotakis, Dimitrios
2013
Uniqueness and stability of the solution to a thermoelastic contact problem. Zbl 0722.73058
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1990
Infiltration in porous media with dynamic capillary pressure: Travelling waves. Zbl 0970.76096
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2000
Integrating factors and first integrals for ordinary differential equations. Zbl 0922.34006
Anco, Stephen C.; Bluman, George
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.
2009
On the computation of blow-up. Zbl 0701.76038
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1990
Finding abstract Lie symmetry algebras of differential equations without integrating determining equations. Zbl 0768.35002
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1991
Non-local dispersal and bistability. Zbl 1114.35021
Hutson, V.; Grinfeld, M.
2006
Non-linear effects on canonical MEMS models. Zbl 1252.78010
Brubaker, Nicholas D.; Pelesko, John A.
2011
Adding police to a mathematical model of burglary. Zbl 1233.91225
Pitcher, Ashley B.
2010
On the asymptotics of solutions of a class of linear functional-differential equations. Zbl 0859.34049
Derfel, G.; Vogl, F.
1996
Transport equations with resting phases. Zbl 1050.92052
Hillen, T.
2003
Elastic-plated gravity currents. Zbl 1387.76026
Hewitt, I. J.; Balmforth, N. J.; De Bruyn, J. R.
2015
Explicit flock solutions for quasi-Morse potentials. Zbl 1304.82049
Carrillo, J. A.; Huang, Y.; Martin, S.
2014
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
2005
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
2006
Source-type solutions of the fourth-order unstable thin film equation. Zbl 1156.35387
Evans, J. D.; Galaktionov, V. A.; King, J. R.
2007
Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049
Gualdini, Maria Pia; Jüngel, Ansgar
2004
Optimal design of periodic antireflective structures for the Helmholtz equation. Zbl 0806.35175
Dobson, David C.
1993
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.
1997
An Abel ordinary differential equation class generalizing known integrable classes. Zbl 1046.34004
Cheb-Terrab, E. S.; Roche, A. D.
2003
Homogenisation of a locally periodic medium with areas of low and high diffusivity. Zbl 1233.35020
van Noorden, T. L.; Muntean, A.
2011
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
2013
Moving boundary problems and non-uniqueness for the thin film equation. Zbl 0985.35113
King, J. R.; Bowen, M.
2001
Two-dimensional Stokes and Hele-Shaw flows with free surfaces. Zbl 0955.76023
Cummings, L. J.; Howison, S. D.; King, J. R.
1999
Artificial boundary conditions of absolute transparency for two- and three-dimensional external time-dependent scattering problems. Zbl 0926.35070
Sofronov, Ivan L.
1998
Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. Zbl 1375.92049
2015
Polynomial chaos for the approximation of uncertainties: Chances and limits. Zbl 1148.65004
Augustin, F.; Gilg, A.; Paffrath, M.; Rentrop, P.; Wever, U.
2008
Moving-boundary and fixed-domain problems for a sixth-order thin-film equation. Zbl 1105.76010
Flitton, J. C.; King, J. R.
2004
Aggregation under local reinforcement: from lattice to continuum. Zbl 1062.92007
Horstmann, Dirk; Painter, Kevin J.; Othmer, Hans G.
2004
The Griffith formula and the Rice-Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains. Zbl 0945.74058
Khludnev, A. M.; Sokolowski, J.
1999
Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
1999
Oscillatory instabilities and dynamics of multi-spike patterns for the one-dimensional Gray-Scott model. Zbl 1197.35021
Chen, Wan; Ward, Michael J.
2009
Stability of compressive and undercompressive thin film travelling waves. Zbl 1028.76012
Bertozzi, Andrea L.; Münch, Andreas; Shearer, Michael; Zumbrun, Kevin
2001
Models for thin viscous sheets. Zbl 0863.76020
Howell, P. D.
1996
A parabolic variational inequality arising from the valuation of fixed rate mortgages. Zbl 1133.91026
Jiang, Lishang; Bian, Baojun; Yi, Fahuai
2005
Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities. Zbl 1165.35363
Alikakos, Nicholas D.; Betelú, Santiago I.; Chen, Xinfu
2006
Pattern formation in bacterial colonies with density-dependent diffusion. Zbl 1407.92030
Smith-Roberge, Julien; Iron, David; Kolokolnikov, Theodore
2019
Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302
Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G.
2019
Balanced viscosity solutions to a rate-independent system for damage. Zbl 1407.35193
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
2019
A new class of costs for optimal transport planning. Zbl 1435.90143
Alibert, J.-J.; Bouchitté, G.; Champion, T.
2019
Periodic travelling interfacial hydroelastic waves with or without mass. II: Multiple bifurcations and ripples. Zbl 1427.76036
Akers, Benjamin F.; Ambrose, David M.; Sulon, David W.
2019
Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167
Iserles, A.; Macnamara, S.
2019
Variety of unsymmetric multibranched logarithmic vortex spirals. Zbl 1407.35158
Elling, V.; Gnann, M. V.
2019
Interpolation of matrices and matrix-valued densities: the unbalanced case. Zbl 1429.81039
Chen, Yongxin; Georgiou, Tryphon T.; Tannenbaum, Allen
2019
Numerical determination of anomalies in multifrequency electrical impedance tomography. Zbl 1429.92091
Ammari, Habib; Triki, Faouzi; Tsou, Chun-Hsiang
2019
A global stability estimate for the photo-acoustic inverse problem in layered media. Zbl 1427.35365
Ren, Kui; Triki, Faouzi
2019
Refined stability thresholds for localized spot patterns for the Brusselator model in $$\mathbb{R}^2$$. Zbl 1427.35107
Chang, Yifan; Tzou, J. C.; Ward, M. J.; Wei, J. C.
2019
Minimal convex extensions and finite difference discretisation of the quadratic Monge-Kantorovich problem. Zbl 1427.65326
Benamou, Jean-David; Duval, Vincent
2019
Quantum entropic regularization of matrix-valued optimal transport. Zbl 1428.49047
Peyré, Gabriel; Chizat, Lénaïc; Vialard, François-Xavier; Solomon, Justin
2019
A measure theoretic approach to traffic flow optimisation on networks. Zbl 1428.49050
Cacace, Simone; Camilli, Fabio; De Maio, Raul; Tosin, Andrea
2019
Rigorous results in existence and selection of Saffman-Taylor fingers by kinetic undercooling. Zbl 1407.76036
Xie, Xuming
2019
Uniqueness in the determination of loads in multi-span beams and plates. Zbl 1407.74054
Kawano, Alexandre; Morassi, Antonino
2019
Homogenization of a non-stationary non-Newtonian flow in a porous medium containing a thin fissure. Zbl 1427.76246
Anguiano, María
2019
Semi-analytical study of the Voinovs problem. Zbl 1427.76032
Karabut, E. A.; Petrov, A. G.; Zhuravleva, E. N.
2019
A hunter-gatherer-farmer population model: Lie symmetries, exact solutions and their interpretation. Zbl 1430.91064
Cherniha, R. M.; Davydovych, V. V.
2019
Systematic derivation of a surface polarisation model for planar perovskite solar cells. Zbl 1431.78005
Courtier, N. E.; Foster, J. M.; O&rsquo;Kane, S. E. J.; Walker, A. B.; Richardson, G.
2019
Models for the two-phase flow of concentrated suspensions. Zbl 1427.76260
Ahnert, Tobias; Münch, Andreas; Wagner, Barbara
2019
On the mean field approximation of a stochastic model of tumour-induced angiogenesis. Zbl 1429.92040
Capasso, V.; Flandoli, F.
2019
Noise-induced mixing and multimodality in reaction networks. Zbl 1425.92090
Plesa, Tomislav; Erban, Radek; Othmer, Hans G.
2019
Approximate analytical solutions for a class of nonlinear stochastic differential equations. Zbl 1439.34064
Meimaris, A. T.; Kougioumtzoglou, I. A.; Pantelous, A. A.
2019
Towards sample path estimates for fast-slow stochastic partial differential equations. Zbl 1423.60099
Gnann, Manuel V.; Kuehn, Christian; Pein, Anne
2019
Displacement convexity for the entropy in semi-discrete non-linear Fokker-Planck equations. Zbl 1423.60119
Carrillo, José A.; Jüngel, Ansgar; Santos, Matheus C.
2019
Simulation of multiphase porous media flows with minimising movement and finite volume schemes. Zbl 1425.76158
Cancès, Clément; Gallouët, Thomas; Laborde, Maxime; Monsaingeon, Léonard
2019
On $$c$$-cyclical monotonicity for optimal transport problem with Coulomb cost. Zbl 1428.49013
De Pascale, Luigi
2019
Transition to nestedness in multi- to one-dimensional optimal transport. Zbl 1428.49046
Chiappori, Pierre-André; McCann, Robert; Pass, Brendan
2019
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
2018
Thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with mass transfer and chemotaxis. Zbl 1397.92100
Lam, Kei Fong; Wu, Hao
2018
Symmetry-invariant conservation laws of partial differential equations. Zbl 1391.35021
Anco, Stephen C.; Kara, Abdul H.
2018
Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations. Zbl 1412.37054
Glendinning, P. A.
2018
A backward Monte Carlo approach to exotic option pricing. Zbl 1401.91552
Bormetti, G.; Callegaro, G.; Livieri, G.; Pallavicini, A.
2018
Circle maps with gaps: understanding the dynamics of the two-process model for sleep-wake regulation. Zbl 1411.37043
Bailey, M. P.; Derks, G.; Skeldon, A. C.
2018
Global solvability and explicit bounds for non-local adhesion models. Zbl 1406.35430
Hillen, T.; Painter, K. J.; Winkler, M.
2018
On isotropic cloaking and interior transmission eigenvalue problems. Zbl 1391.35133
Ji, Xia; Liu, Hongyu
2018
Ambartsoumian, Gaik; Gouia-Zarrad, Rim; Krishnan, Venkateswaran P.; Roy, Souvik
2018
Invasion moving boundary problem for a biofilm reactor model. Zbl 1407.92139
D&rsquo;Acunto, B.; Frunzo, L.; Luongo, V.; Mattei, M. R.
2018
A simple model of biofilm growth in a porous medium that accounts for detachment and attachment of suspended biomass and their contribution to substrate degradation. Zbl 1407.92108
Gaebler, Harry J.; Eberl, Hermann J.
2018
Non-smooth homoclinic bifurcation in a conceptual climate model. Zbl 1400.86005
Leifeld, Julie
2018
Simulating surfactant spreading: influence of a physically motivated equation of state. Zbl 1391.76056
Sinclair, Dina; Levy, Rachel; Daniels, Karen E.
2018
A numerical implementation of the unified Fokas transform for evolution problems on a finite interval. Zbl 1394.65120
Kesici, Emine; Pelloni, Beatrice; Pryer, Tristan; Smith, David
2018
Properties of the chemostat model with aggregated biomass. Zbl 1407.92148
Rapaport, Alain
2018
The infinitesimal phase response curves of oscillators in piecewise smooth dynamical systems. Zbl 1405.37054
Park, Y.; Shaw, K. M.; Chiel, H. J.; Thomas, P. J.
2018
Singular perturbations in noisy dynamical systems. Zbl 1394.37083
Matkowsky, B. J.
2018
A variational inequality arising from optimal exercise perpetual executive stock options. Zbl 1401.91534
Lai, Xin; Chen, Xinfu; Qin, Cong; Yu, Wanghui
2018
Application of a generalized finite difference method to mould filling process. Zbl 1394.65077
Reséndiz-Flores, E. O.; Kuhnert, J.; Saucedo-Zendejo, F. R.
2018
Time adaptive numerical solution of a highly non-linear degenerate cross-diffusion system arising in multi-species biofilm modelling. Zbl 1407.92109
Ghasemi, Maryam; Sonner, Stefanie; Eberl, Hermann J.
2018
Suppression of drill-string stick-slip vibration by sliding mode control: numerical and experimental studies. Zbl 1402.74043
Vaziri, Vahid; Kapitaniak, Marcin; Wiercigroch, Marian
2018
Networks of piecewise linear neural mass models. Zbl 1401.92008
Coombes, S.; Lai, Y. M.; Şayli, M.; Thul, R.
2018
Non-autonomous higher-order Moreau’s sweeping process: well-posedness, stability and Zeno trajectories. Zbl 1432.34026
Brogliato, Bernard
2018
New insights on the interfacial tension of electrochemical interfaces and the Lippmann equation. Zbl 1397.78049
Dreyer, W.; Guhlke, C.; Landstorfer, M.; Müller, R.
2018
Pricing American call options under a hard-to-borrow stock model. Zbl 1401.91537
Ma, Guiyuan; Zhu, Song-Ping
2018
A multi-species chemotaxis system: Lyapunov functionals, duality, critical mass. Zbl 1395.92022
Kavallaris, N. I.; Ricciardi, T.; Zecca, G.
2018
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald; Lam, Kei Fong
2017
Stable spike clusters for the one-dimensional Gierer-Meinhardt system. Zbl 1386.35165
Wei, Juncheng; Winter, Matthias
2017
Strong solvability up to clogging of an effective diffusion-precipitation model in an evolving porous medium. Zbl 1386.82065
Schulz, R.; Ray, N.; Frank, F.; Mahato, H. S.; Knabner, P.
2017
A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162
Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara
2017
Stationary patterns and their selection mechanism of urban crime models with heterogeneous near-repeat victimization effect. Zbl 1376.91125
Gu, Yu; Wang, Qi; Yi, Guangzeng
2017
A new analytical approach to consistency and overfitting in regularized empirical risk minimization. Zbl 1383.49029
García Trillos, Nicolás; Murray, Ryan
2017
Non-local Cahn-Hilliard equations with fractional dynamic boundary conditions. Zbl 1382.82035
Gal, Ciprian G.
2017
A multi-scale analysis of drug transport and response for a multi-phase tumour model. Zbl 1375.92030
Collis, J.; Hubbard, M. E.; O&rsquo;Dea, R. D.
2017
On the game $$p$$-Laplacian on weighted graphs with applications in image processing and data clustering. Zbl 1390.91039
Elmoataz, A.; Desquesnes, X.; Toutain, M.
2017
Sampling time-frequency localized functions and constructing localized time-frequency frames. Zbl 1386.94041
Velasco, G. A. M.; Dörfler, M.
2017
Non-local effects in an integro-PDE model from population genetics. Zbl 1390.92090
Li, F.; Nakashima, K.; Ni, W.-M.
2017
Well-posedness of a diffuse-interface model for two-phase incompressible flows with thermo-induced Marangoni effect. Zbl 1386.35360
Wu, Hao
2017
Derivation and solution of effective medium equations for bulk heterojunction organic solar cells. Zbl 1380.82057
Richardson, G.; Please, C. P.; Styles, V.
2017
Transition to blow-up in a reaction-diffusion model with localized spike solutions. Zbl 1387.35338
Rottschäfer, V.; Tzou, J. C.; Ward, M. J.
2017
A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. Zbl 1386.74106
Scala, Riccardo; Schimperna, Giulio
2017
Asymptotic behaviour of solutions of free boundary problems for Fisher-KPP equation. Zbl 1375.35041
Cai, Jingjing; Gu, Hong
2017
Dynamics of screw dislocations: a generalised minimising-movements scheme approach. Zbl 1386.82069
Bonaschi, Giovanni A.; Van Meurs, Patrick; Morandotti, Marco
2017
The interface dynamics of a surfactant drop on a thin viscous film. Zbl 1375.35368
Chugunova, Marina; King, John R.; Taranets, Roman M.
2017
Evolution of interfaces for the non-linear parabolic $$p$$-Laplacian type reaction-diffusion equations. Zbl 1386.35196
Abdulla, Ugur G.; Jeli, Roqia
2017
On the IAA version of the Doi-edwards model versus the K-BKZ rheological model for polymer fluids: a global existence result for shear flows with small initial data. Zbl 1386.76013
Ciuperca, Ionel Sorin; Heibig, Arnaud; Palade, Liviu Iulian
2017
Homogenization of composite electrets. Zbl 1386.78008
2017
The mathematics of varistors. Zbl 1386.94115
Cimatti, Giovanni
2017
Bifurcations analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions: the asymmetric case. Zbl 1386.82073
Da Costa, Fernando P.; Méndez, Maria Isabel; Pinto, João T.
2017
Unsteady flows induced by a point source or sink in a fluid of finite depth. Zbl 1386.76027
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2017
A note on waveless subcritical flow past symmetric bottom topography. Zbl 1386.76035
Holmes, R. J.; Hocking, G. C.
2017
Introduction: Big data and partial differential equations. Zbl 1386.35008
van Gennip, Yves; Schönlieb, Carola-Bibiane
2017
Hybrid PDE solver for data-driven problems and modern branching. Zbl 1387.65008
Bernal, Francisco; dos Reis, Gonçalo; Smith, Greig
2017
Hotspot formation and dynamics for a continuum model of urban crime. Zbl 1408.91169
Tse, W. H.; Ward, M. J.
2016
Inverse obstacle backscattering problems with phaseless data. Zbl 1383.78023
Shin, Jaemin
2016
Nilpotent centres via inverse integrating factors. Zbl 1384.34037
Algaba, Antonio; García, Cristóbal; Giné, Jaume
2016
Analysis of a heterogeneous model for riot dynamics: the effect of censorship of information. Zbl 1408.91172
Berestyki, H.; Rodríguez, N.
2016
Synchrony in networks of coupled non-smooth dynamical systems: extending the master stability function. Zbl 1384.34064
Coombes, Stephen; Thul, Rüdiger
2016
Stability to the dissipative Reissner-Mindlin-Timoshenko acting on displacement equation. Zbl 1383.35227
Campelo, A. D. S.; Almeida Júnior, D. S.; Santos, M. L.
2016
Detection of core-periphery structure in networks using spectral methods and geodesic paths. Zbl 1380.68311
Cucuringu, Mihai; Rombach, Puck; Lee, Sang Hoon; Porter, Mason A.
2016
Pricing European options with stochastic volatility under the minimal entropy martingale measure. Zbl 1408.91214
He, Xin-Jiang; Zhu, Song-Ping
2016
Exploring data assimilation and forecasting issues for an urban crime model. Zbl 1408.91168
Lloyd, David J. B.; Santitissadeekorn, Naratip; Short, Martin B.
2016
Modelling policing strategies for departments with limited resources. Zbl 1408.91181
Camacho, Alejandro; Lee, Hye Rin Lindsay; Smith, Laura M.
2016
On the structure of generalized Poisson-Boltzmann equations. Zbl 1383.78028
Gavish, N.; Promislow, K.
2016
On convergence of the penalty method for a static unilateral contact problem with nonlocal friction in electro-elasticity. Zbl 1387.74083
Benkhira, El-H.; Essoufi, El-H.; Fakhar, R.
2016
The convective viscous Cahn-Hilliard equation: exact solutions. Zbl 1383.35168
Mchedlov-Petrosyan, P. O.
2016
Spatio-temporal patterns of IED usage by the Provisional Irish Republican Army. Zbl 1408.91175
Tench, Stephen; Fry, Hannah; Gill, Paul
2016
On quasi-static contact problem with generalized Coulomb friction, normal compliance and damage. Zbl 1387.74084
Gasiński, Leszek; Kalita, Piotr
2016
Explicitly solvable eigenvalue problem and bifurcation delay in sub-diffusive Gierer-Meinhardt model. Zbl 1387.35332
Nec, Yana
2016
Re-conceptualizing centrality in social networks. Zbl 1408.91179
Schoch, D.; Brandes, U.
2016
Scattering of a scalar time-harmonic wave by a penetrable obstacle with a thin layer. Zbl 1387.35121
Boutarene, K. E.; Cocquet, P.-H.
2016
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#### Cited by 7,024 Authors

 62 Wei, Juncheng 46 Ward, Michael J. 44 Sofonea, Mircea 39 Mu, Chunlai 35 Garcke, Harald 34 Migórski, Stanisław 33 Kara, Abdul Hamid 33 Winkler, Michael 32 Gandarias Núñez, Maria Luz 31 King, John Robert 30 Khalique, Chaudry Masood 28 Bruzón, Maria Santos 25 Volpert, Vitaly A. 22 Kolokolnikov, Theodore 21 Galaktionov, Victor Aleksandrovich 21 Shillor, Meir 20 Carrillo de la Plata, José Antonio 20 Chen, Xinfu 20 Popovych, Roman O. 20 Vazquez, Juan Luis 19 Anco, Stephen C. 19 Li, Wan-Tong 19 Nürnberg, Robert 19 Qu, Changzheng 19 Rocca, Elisabetta 19 Winter, Matthias 18 Ammari, Habib M. 18 Cheviakov, Alexei F. 18 Giné, Jaume 18 Zheng, Jiashan 17 Byrne, Helen Mary 17 Clarkson, Peter A. 17 Friedman, Avner 17 Sophocleous, Christodoulos 17 Vanden-Broeck, Jean-Marc 16 Kim, Junseok 16 Llibre, Jaume 15 Bluman, George W. 15 Colli, Pierluigi 15 Escher, Joachim 15 Gancedo, Francisco 15 Lin, Ke 15 Mahomed, Fazal M. 15 Momoniat, Ebrahim 15 Papageorgiou, Demetrios T. 15 Radkevich, Evgeniĭ Vladimirovich 15 Wang, Liangchen 14 Cherniha, Roman M. 14 Cummings, Linda J. 14 Han, Weimin 14 McCue, Scott William 14 Rossi, Riccarda 14 van Brunt, Bruce 14 Witelski, Thomas P. 13 Barrett, John W. 13 Bürger, Raimund 13 Chen, Wenbin 13 Cui, Shangbin 13 Dutykh, Denys 13 Freire, Igor Leite 13 Jin, Hai-Yang 13 Majumdar, Apala 13 Münch, Arnaud 13 Painter, Kevin J. 13 Pop, Iuliu Sorin 13 Pulch, Roland 13 Walker, Christoph 13 Zhang, Hongqing 13 Zheng, Pan 12 Chaplain, Mark A. J. 12 Cordoba, Diego 12 Elliott, Charles M. 12 Fan, Jishan 12 Guo, Zongming 12 Kalliadasis, Serafim 12 Lam, Kei Fong 12 Lustri, Christopher J. 12 Wang, Cheng 12 Zhang, Mingji 11 Doelman, Arjen 11 Gianni, Roberto 11 Haltmeier, Markus 11 Iserles, Arieh 11 Ivanova, Nataliya M. 11 Jüngel, Ansgar 11 Lindsay, Alan E. 11 Lowengrub, John Samuel 11 Matioc, Bogdan-Vasile 11 Miranville, Alain M. 11 Monneau, Régis 11 Münch, Andreas 11 Özer, Teoman 11 Recio, Elena 11 Ruan, Shigui 11 Scherzer, Otmar 11 Serfaty, Sylvia 11 Tao, Youshan 11 Vázquez Cendón, Carlos 11 Wang, Shu 11 Wang, Zhian ...and 6,924 more Authors
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#### Cited in 538 Journals

 319 Journal of Mathematical Analysis and Applications 247 Journal of Differential Equations 179 Applied Mathematics and Computation 152 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 146 Journal of Fluid Mechanics 135 Physica D 131 European Journal of Applied Mathematics 118 Journal of Computational Physics 110 Nonlinear Analysis. Real World Applications 103 Journal of Computational and Applied Mathematics 99 Computers & Mathematics with Applications 96 Archive for Rational Mechanics and Analysis 81 Applied Mathematics Letters 80 Discrete and Continuous Dynamical Systems. Series B 78 Journal of Engineering Mathematics 74 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 70 Journal of Mathematical Physics 69 ZAMP. Zeitschrift für angewandte Mathematik und Physik 68 Mathematical Methods in the Applied Sciences 67 SIAM Journal on Applied Mathematics 65 Discrete and Continuous Dynamical Systems 59 Journal of Mathematical Biology 58 Physics of Fluids 57 SIAM Journal on Mathematical Analysis 55 Calculus of Variations and Partial Differential Equations 54 Applicable Analysis 54 Communications in Nonlinear Science and Numerical Simulation 50 Mathematical and Computer Modelling 49 Chaos, Solitons and Fractals 49 Journal of Mathematical Sciences (New York) 46 Journal of Nonlinear Science 45 Journal of Scientific Computing 44 Applied Numerical Mathematics 44 Journal of Dynamics and Differential Equations 43 Nonlinearity 42 Inverse Problems 41 Applied Mathematical Modelling 40 Computer Methods in Applied Mechanics and Engineering 40 SIAM Journal on Applied Dynamical Systems 38 Bulletin of Mathematical Biology 38 Communications in Partial Differential Equations 36 Journal of Theoretical Biology 35 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 35 Discrete and Continuous Dynamical Systems. Series S 33 Acta Applicandae Mathematicae 33 Journal de Mathématiques Pures et Appliquées. Neuvième Série 31 Studies in Applied Mathematics 31 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 30 Numerische Mathematik 29 International Journal of Engineering Science 29 Transactions of the American Mathematical Society 27 Applied Mathematics and Optimization 27 NoDEA. Nonlinear Differential Equations and Applications 25 Wave Motion 25 Mathematical Problems in Engineering 25 Abstract and Applied Analysis 25 Communications on Pure and Applied Analysis 24 Japan Journal of Industrial and Applied Mathematics 24 European Journal of Mechanics. B. Fluids 24 Comptes Rendus. Mathématique. Académie des Sciences, Paris 23 Mathematics of Computation 23 Mathematics and Computers in Simulation 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22 Communications in Mathematical Physics 22 Physics Letters. A 21 Nonlinear Dynamics 21 Mathematical Modelling of Natural Phenomena 20 Computer Physics Communications 20 Quarterly of Applied Mathematics 19 Chaos 19 Advances in Difference Equations 19 Inverse Problems and Imaging 19 SIAM Journal on Imaging Sciences 19 Nonlinear Analysis. Theory, Methods & Applications 18 SIAM Journal on Numerical Analysis 18 Numerical Methods for Partial Differential Equations 18 SIAM Journal on Scientific Computing 18 Journal of Nonlinear Mathematical Physics 17 Inverse Problems in Science and Engineering 17 Science China. Mathematics 16 Journal of Functional Analysis 16 Journal of Symbolic Computation 16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 16 Continuum Mechanics and Thermodynamics 16 Multiscale Modeling & Simulation 15 Communications on Pure and Applied Mathematics 15 Journal of Statistical Physics 15 Journal of Inverse and Ill-Posed Problems 15 The ANZIAM Journal 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Proceedings of the American Mathematical Society 14 International Journal of Computer Mathematics 14 Journal of Evolution Equations 14 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 13 Computers and Fluids 13 Reports on Mathematical Physics 13 Theoretical and Mathematical Physics 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Journal of Elasticity 13 Journal of Applied Mathematics ...and 438 more Journals
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#### Cited in 59 Fields

 3,766 Partial differential equations (35-XX) 1,388 Fluid mechanics (76-XX) 1,048 Numerical analysis (65-XX) 976 Biology and other natural sciences (92-XX) 636 Mechanics of deformable solids (74-XX) 596 Ordinary differential equations (34-XX) 412 Calculus of variations and optimal control; optimization (49-XX) 384 Dynamical systems and ergodic theory (37-XX) 373 Statistical mechanics, structure of matter (82-XX) 281 Classical thermodynamics, heat transfer (80-XX) 267 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 221 Optics, electromagnetic theory (78-XX) 213 Probability theory and stochastic processes (60-XX) 182 Operator theory (47-XX) 168 Global analysis, analysis on manifolds (58-XX) 132 Integral equations (45-XX) 114 Systems theory; control (93-XX) 112 Computer science (68-XX) 101 Operations research, mathematical programming (90-XX) 77 Mechanics of particles and systems (70-XX) 77 Information and communication theory, circuits (94-XX) 72 Geophysics (86-XX) 71 Differential geometry (53-XX) 68 Statistics (62-XX) 65 Approximations and expansions (41-XX) 52 Functions of a complex variable (30-XX) 48 Quantum theory (81-XX) 40 Difference and functional equations (39-XX) 40 Functional analysis (46-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 35 Real functions (26-XX) 35 Special functions (33-XX) 34 Measure and integration (28-XX) 33 Integral transforms, operational calculus (44-XX) 31 Topological groups, Lie groups (22-XX) 20 Potential theory (31-XX) 19 Combinatorics (05-XX) 18 Nonassociative rings and algebras (17-XX) 18 Relativity and gravitational theory (83-XX) 17 General and overarching topics; collections (00-XX) 13 Field theory and polynomials (12-XX) 13 Commutative algebra (13-XX) 8 Several complex variables and analytic spaces (32-XX) 6 Number theory (11-XX) 4 History and biography (01-XX) 4 Convex and discrete geometry (52-XX) 4 Astronomy and astrophysics (85-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)