Interfaces and Free BoundariesMathematical Analysis, Computation and Applications Short Title: Interfaces Free Bound. Publisher: EMS Press, Berlin ISSN: 1463-9963; 1463-9971/e Online: https://ems.press/journals/ifb/read Comments: Journal; Indexed cover-to-cover Documents Indexed: 518 Publications (since 1999) References Indexed: 171 Publications with 4,295 References. all top 5 Latest Issues 26, No. 4 (2024) 26, No. 3 (2024) 26, No. 2 (2024) 26, No. 1 (2024) 25, No. 4 (2023) 25, No. 3 (2023) 25, No. 2 (2023) 25, No. 1 (2023) 24, No. 4 (2022) 24, No. 3 (2022) 24, No. 2 (2022) 24, No. 1 (2022) 23, No. 4 (2021) 23, No. 3 (2021) 23, No. 2 (2021) 23, No. 1 (2021) 22, No. 4 (2020) 22, No. 3 (2020) 22, No. 2 (2020) 22, No. 1 (2020) 21, No. 4 (2019) 21, No. 3 (2019) 21, No. 2 (2019) 21, No. 1 (2019) 20, No. 4 (2018) 20, No. 3 (2018) 20, No. 2 (2018) 20, No. 1 (2018) 19, No. 4 (2017) 19, No. 3 (2017) 19, No. 2 (2017) 19, No. 1 (2017) 18, No. 4 (2016) 18, No. 3 (2016) 18, No. 2 (2016) 18, No. 1 (2016) 17, No. 4 (2015) 17, No. 3 (2015) 17, No. 2 (2015) 17, No. 1 (2015) 16, No. 4 (2014) 16, No. 3 (2014) 16, No. 2 (2014) 16, No. 1 (2014) 15, No. 4 (2013) 15, No. 3 (2013) 15, No. 2 (2013) 15, No. 1 (2013) 14, No. 4 (2012) 14, No. 3 (2012) 14, No. 2 (2012) 14, No. 1 (2012) 13, No. 4 (2011) 13, No. 3 (2011) 13, No. 2 (2011) 13, No. 1 (2011) 12, No. 4 (2010) 12, No. 3 (2010) 12, No. 2 (2010) 12, No. 1 (2010) 11, No. 4 (2009) 11, No. 3 (2009) 11, No. 2 (2009) 11, No. 1 (2009) 10, No. 4 (2008) 10, No. 3 (2008) 10, No. 2 (2008) 10, No. 1 (2008) 9, No. 4 (2007) 9, No. 3 (2007) 9, No. 2 (2007) 9, No. 1 (2007) 8, No. 4 (2006) 8, No. 3 (2006) 8, No. 2 (2006) 8, No. 1 (2006) 7, No. 4 (2005) 7, No. 3 (2005) 7, No. 2 (2005) 7, No. 1 (2005) 6, No. 4 (2004) 6, No. 3 (2004) 6, No. 2 (2004) 6, No. 1 (2004) 5, No. 4 (2003) 5, No. 3 (2003) 5, No. 2 (2003) 5, No. 1 (2003) 4, No. 4 (2002) 4, No. 3 (2002) 4, No. 2 (2002) 4, No. 1 (2002) 3, No. 4 (2001) 3, No. 3 (2001) 3, No. 2 (2001) 3, No. 1 (2001) 2, No. 4 (2000) 2, No. 3 (2000) 2, No. 2 (2000) 2, No. 1 (2000) all top 5 Authors 11 Novaga, Matteo 10 Deckelnick, Klaus 9 Elliott, Charles M. 7 Barrett, John William 7 Garcke, Harald 6 Bartels, Sören 5 Abels, Helmut 5 Bellettini, Giovanni 5 Braides, Andrea 5 Chambolle, Antonin 5 Chen, Xinfu 5 Monneau, Régis 5 Simonett, Gieri 5 Valdinoci, Enrico 5 Vazquez, Juan Luis 4 Bertsch, Michiel 4 Buttazzo, Giuseppe 4 Chalons, Christophe 4 Chopp, David L. 4 Dziuk, Gerhard 4 Friedman, Avner 4 Giacomelli, Lorenzo 4 Giga, Yoshikazu 4 Grün, Günther 4 Hulshof, Josephus 4 Laurençot, Philippe 4 Laux, Tim 4 Nürnberg, Robert 4 Pozzi, Paola 4 Prüß, Jan Wilhelm 4 Röger, Matthias 4 Roubíček, Tomáš 4 Shahgholian, Henrik 4 Sivashinsky, Gregory I. 4 Sprekels, Jürgen 4 Stinner, Bjorn 4 Styles, Vanessa 4 Wei, Juncheng 3 Alt, Hans Wilhelm 3 Brauner, Claude-Michel 3 Cahn, John W. 3 Cardaliaguet, Pierre 3 Cicalese, Marco 3 Dal Passo, Roberta 3 Dirr, Nicolas Peter 3 Dondl, Patrick Werner 3 Escher, Joachim 3 Frankel, Michael L. 3 Henrot, Antoine 3 Hilhorst, Danielle 3 Hintermüller, Michael 3 Imbert, Cyril 3 Karakhanyan, Aram L. 3 Kimura, Masato 3 Krejčí, Pavel 3 Kunisch, Karl 3 Lippoth, Friedrich-Matthias 3 Liu, Chun 3 Matioc, Bogdan-Vasile 3 Mimura, Masayasu 3 Nochetto, Ricardo Horacio 3 Paolini, Maurizio 3 Peletier, Mark Adriaan 3 Perthame, Benoît 3 Petrosyan, Arshak 3 Prigozhin, Leonid B. 3 Prohl, Andreas 3 Quirós Gracián, Fernando 3 Ren, Xiaofeng 3 Rocca, Elisabetta 3 Rossi, Julio Daniel 3 Rumpf, Martin 3 Sethian, James Albert 3 Solonnikov, Vsevolod Alekseevich 3 Tonegawa, Yoshihiro 3 Velázquez, Juan J. L. 2 Alicandro, Roberto 2 Allen, Mark G. 2 Ambrose, David M. 2 Ambrosio, Luigi 2 Amstutz, Samuel 2 Antil, Harbir 2 Apushkinskaya, Darya E. 2 Barles, Guy 2 Beneš, Michal 2 Berestycki, Henri 2 Bhattacharya, Kaushik 2 Bogoşel, Beniamin 2 Bonito, Andrea 2 Bretin, Elie 2 Burger, Martin 2 Cancès, Clément 2 Caraballo, David G. 2 Cesaroni, Annalisa 2 Challal, Samia 2 Conti, Monica C. 2 Cristoferi, Riccardo 2 Cui, Shangbin 2 da Silva, João Vítor 2 Davis, Stephen Howard ...and 685 more Authors all top 5 Fields 433 Partial differential equations (35-XX) 131 Calculus of variations and optimal control; optimization (49-XX) 115 Fluid mechanics (76-XX) 98 Mechanics of deformable solids (74-XX) 84 Numerical analysis (65-XX) 52 Differential geometry (53-XX) 42 Statistical mechanics, structure of matter (82-XX) 34 Classical thermodynamics, heat transfer (80-XX) 33 Biology and other natural sciences (92-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Operator theory (47-XX) 10 Operations research, mathematical programming (90-XX) 10 Information and communication theory, circuits (94-XX) 9 Probability theory and stochastic processes (60-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Systems theory; control (93-XX) 5 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Geophysics (86-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Integral equations (45-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 459 Publications have been cited 5,205 times in 4,069 Documents Cited by ▼ Year ▼ Numerical implementation of the variational formulation for quasi-static brittle fracture. Zbl 1130.74040 Bourdin, Blaise 157 2007 The fractional Cheeger problem. Zbl 1301.49115 Brasco, L.; Lindgren, Erik; Parini, Enea 114 2014 Phase field modeling and simulation of three-phase flows. Zbl 1100.35088 Kim, Junseok; Lowengrub, John 82 2005 Finite element approximation of a Cahn-Hilliard-Navier-Stokes system. Zbl 1144.35043 Kay, David 82 2008 A framework for the construction of level set methods for shape optimization and reconstruction. Zbl 1081.35134 Burger, Martin 80 2003 Area-preserving curve-shortening flows: From phase separation to image processing. Zbl 1021.35129 Capuzzo Dolcetta, Italo; Finzi Vita, Stefano; March, Riccardo 64 2002 Free boundary regularity for a problem with right hand side. Zbl 1219.35372 De Silva, D. 63 2011 On the two-phase Navier-Stokes equations with surface tension. Zbl 1202.35359 Prüss, Jan; Simonett, Gieri 60 2010 Mass conserving Allen-Cahn equation and volume preserving mean curvature flow. Zbl 1219.35018 Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth 59 2010 An algorithm for mean curvature motion. Zbl 1061.35147 Chambolle, Antonin 57 2004 Optimal regularity for elliptic transmission problems including \(C^1\) interfaces. Zbl 1147.47034 Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther 50 2007 A variational model of irrigation patterns. Zbl 1057.35076 Maddalena, F.; Solimini, S.; Morel, J.-M 49 2003 Incompressible fluid problems on embedded surfaces: modeling and variational formulations. Zbl 1406.35224 Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold 49 2018 A level set formulation for Willmore flow. Zbl 1062.35028 Droske, M.; Rumpf, M. 48 2004 Rigorous lubrication approximation. Zbl 1039.76012 Giacomelli, Lorenzo; Otto, Felix 42 2003 A projection method for motion of triple junctions by level sets. Zbl 1112.76437 Smith, Kurt A.; Solis, Francisco J.; Chopp, David L. 40 2002 Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056 Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D. 40 2005 Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem. Zbl 1072.35150 Feng, Xiaobing; Prohl, Andreas 39 2005 On energy minimizers of the diblock copolymer problem. Zbl 1031.49035 Ren, Xiaofeng; Wei, Juncheng 39 2003 Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy. Zbl 1333.35207 Muha, Boris; Čanić, Sunčica 39 2015 Level set approach for fractional mean curvature flows. Zbl 1173.35533 Imbert, Cyril 38 2009 Eulerian finite element method for parabolic PDEs on implicit surfaces. Zbl 1145.65073 Dziuk, G.; Elliott, C. M. 37 2008 Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459 Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya 37 2008 A direct variational approach to a problem arising in image reconstruction. Zbl 1029.49037 Ambrosio, Luigi; Masnou, Simon 36 2003 An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary. Zbl 0986.35139 Weiss, G. S. 35 2001 Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility. Zbl 0952.35159 Dal Passo, Roberta; Giacomelli, Lorenzo; Novick-Cohen, Amy 35 1999 On generalized solutions of two-phase flows for viscous incompressible fluids. Zbl 1124.35060 Abels, Helmut 35 2007 Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem. Zbl 1006.35103 Fila, Marek; Souplet, Philippe 34 2001 A Bayesian level set method for geometric inverse problems. Zbl 1353.65050 Iglesias, Marco A.; Lu, Yulong; Stuart, Andrew M. 34 2016 Properties of Sobolev-type metrics in the space of curves. Zbl 1168.58005 Mennucci, A. C. G.; Yezzi, A.; Sundaramoorthi, G. 33 2008 An algorithm for the elastic flow of surfaces. Zbl 1210.35149 Rusu, Raluca E. 32 2005 A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow. Zbl 1005.65095 Mayer, Uwe F.; Simonett, Gieri 31 2002 A geometrically exact Cosserat shell model for defective elastic crystals. Justification via \(\Gamma\)-convergence. Zbl 1137.74014 Neff, Patrizio; Chełmiński, Krzyztof 31 2007 Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow. Zbl 1084.49003 Alter, F.; Caselles, V.; Chambolle, A. 30 2005 On the global minimizers of a nonlocal isoperimetric problem in two dimensions. Zbl 1216.35019 Sternberg, Peter; Topaloglu, Ihsan 30 2011 Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148 Alvarez, O.; Cardaliaguet, P.; Monneau, R. 30 2005 Well-posedness of the linearized plasma-vacuum interface problem. Zbl 1286.76166 Secchi, Paolo; Trakhinin, Yuri 30 2013 Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127 Bellettini, G.; Novaga, M.; Paolini, M. 29 2001 A free boundary problem arising in a simplified tumour growth model of contact inhibition. Zbl 1197.35296 Bertsch, M.; Dal Passo, R.; Mimura, M. 29 2010 Classical solutions to a moving boundary problem for an elliptic-parabolic system. Zbl 1057.35097 Escher, Joachim 29 2004 Error analysis of a finite element method for the Willmore flow of graphs. Zbl 1102.35047 Deckelnick, Klaus; Dziuk, Gerhard 29 2006 Pinning and de-pinning phenomena in front propagation in heterogeneous media. Zbl 1101.35074 Dirr, N.; Yip, N. K. 29 2006 Lower bounds on waiting times for degenerate parabolic equations and systems. Zbl 1100.35058 Giacomelli, Lorenzo; Grün, Günther 28 2006 Threshold dynamics for high order geometric motions. Zbl 1157.65330 Esedoḡlu, Selim; Ruuth, Steven J.; Tsai, Richard 28 2008 Motion by intrinsic Laplacian of curvature. Zbl 0938.65144 Chopp, David L.; Sethian, J. A. 27 1999 Travelling front solutions arising in the chemotaxis-growth model. Zbl 1106.35119 Funaki, Mitsuo; Mimura, Masayasu; Tsujikawa, Tohru 27 2006 A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth. Zbl 1106.35145 Friedman, Avner 27 2006 Metastability in a flame front evolution equation. Zbl 0991.35097 Berestycki, H.; Kamin, S.; Sivashinsky, G. 26 2001 A hyperbolic free boundary problem modeling tumor growth. Zbl 1040.35143 Cui, Shangbin; Friedman, Avner 25 2003 A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions. Zbl 1116.35073 Andreu, F.; Mazón, J. M.; Toledo, J.; Igbida, N. 25 2006 On the variational theory of cell-membrane equilibria. Zbl 1057.35077 Steigmann, David; Baesu, Eveline; Rudd, Robert E.; Belak, Jim; McElfresh, Mike 24 2003 Free-discontinuity problems via functionals involving the \(L^1\)-norm of the gradient and their approximations. Zbl 0947.49011 Alicandro, Roberto; Braides, Andrea; Shah, Jayant 24 1999 On sharp interface limits for diffuse interface models for two-phase flows. Zbl 1319.76058 Abels, Helmut; Lengeler, Daniel 24 2014 Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems. Zbl 1109.35092 Choksi, Rustum; Sternberg, Peter 23 2006 Derivation of a Hele-Shaw type system from a cell model with active motion. Zbl 1325.35092 Perthame, Benoît; Quirós, Fernando; Tang, Min; Vauchelet, Nicholas 23 2014 Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385 Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael 23 2014 Two-phase flows involving capillary barriers in heterogeneous porous media. Zbl 1178.35196 Cancès, Clément; Gallouët, Thierry; Porretta, Alessio 23 2009 The Allen-Cahn action functional in higher dimensions. Zbl 1288.93096 Mugnai, Luca; Röger, Matthias 23 2008 Scalar conservation laws on moving hypersurfaces. Zbl 1350.35115 Dziuk, Gerhard; Kröner, Dietmar; Müller, Thomas 23 2013 Optimal regularity at the free boundary for the infinity obstacle problem. Zbl 1439.35580 Rossi, J. D.; Teixeira, Eduardo V.; Urbano, José Miguel 22 2015 Second order phase field asymptotics for multi-component systems. Zbl 1106.35116 Garcke, Harald; Stinner, Björn 22 2006 Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local. Zbl 1304.35729 Alfaro, Matthieu; Alifrangis, Pierre 22 2014 Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023 Bellettini, G.; Novaga, M.; Paolini, M. 21 1999 Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115 Deckelnick, Klaus; Elliott, Charles M. 21 2004 Approximation of sets of finite fractional perimeter by smooth sets and comparison of local and global s-minimal surfaces. Zbl 1403.49040 Lombardini, Luca 20 2018 The Wulff shape minimizes an anisotropic Willmore functional. Zbl 1072.35184 Clarenz, Ulrich 20 2004 On the shape derivative for problems of Bernoulli type. Zbl 1178.49055 Haslinger, J.; Ito, Kazufumi; Kozubek, T.; Kunisch, K.; Peichl, G. 20 2009 Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid. Zbl 1260.35258 Boulakia, Muriel; Schwindt, Erica L.; Takahashi, Takéo 20 2012 A nonlocal diffusion problem with a sharp free boundary. Zbl 1430.35240 Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemi 20 2019 Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity. Zbl 1002.35059 Andreucci, Daniele; Tedeev, Anatoli F. 19 2001 The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164 Garcke, Harald; Rumpf, Martin; Weikard, Ulrich 19 2001 Droplet spreading under weak slippage: The optimal asymptotic propagation rate in the multi-dimensional case. Zbl 1056.35072 Grün, Günther 19 2002 Global existence of solutions for a free boundary problem modeling the growth of necrotic tumors. Zbl 1078.35139 Cui, Shangbin 19 2005 On some linear parabolic PDEs on moving hypersurfaces. Zbl 1333.35306 Alphonse, Amal; Elliott, Charles M.; Stinner, Björn 19 2015 Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Zbl 1205.65263 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 19 2010 Optimal channel networks, landscape function and branched transport. Zbl 1138.90339 Santambrogio, Filippo 19 2007 A free-boundary model for diffusion-induced grain boundary motion. Zbl 0986.35136 Fife, P. C.; Cahn, J. W.; Elliott, C. M. 18 2001 Error estimates for a semi-implicit fully discrete element scheme for the mean curvature flow of graphs. Zbl 0974.65088 Deckelnick, Klaus; Dziuk, Gerhard 18 2000 Optimal transportation networks as flat chains. Zbl 1275.90011 Paolini, Emanuele; Stepanov, Eugene 18 2006 Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Zbl 1171.35429 Chalons, Christophe; Goatin, Paola 18 2008 Implicit time discretization of the mean curvature flow with a discontinuous forcing term. Zbl 1170.65054 Chambolle, Antonin; Novaga, Matteo 18 2008 On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via flat solutions: the one-dimensional case. Zbl 1328.81101 Díaz, Jesús Ildefonso 17 2015 Convergence of thresholding schemes incorporating bulk effects. Zbl 1376.82004 Laux, Tim; Swartz, Drew 17 2017 A multi-phase transition model for dislocations with interfacial microstructure. Zbl 1184.35029 Cacace, Simone; Garroni, Adriana 17 2009 Some results on anisotropic fractional mean curvature flows. Zbl 1380.53070 Chambolle, Antonin; Novaga, Matteo; Ruffini, Berardo 17 2017 A geometric approach to front propagation problems in bounded domains with Neumann-type boundary conditions. Zbl 1046.35059 Barles, Guy; Da Lio, Francesca 16 2003 Segregating partition problem in competition-diffusion systems. Zbl 0980.92037 Ei, Shin-Ichiro; Ikota, Ryo; Mimura, Masayasu 16 1999 Numerical diffusion-induced grain boundary motion. Zbl 0991.35095 Deckelnick, K.; Elliott, C. M.; Styles, V. 16 2001 Obstacle mean-field game problem. Zbl 1327.35119 Gomes, Diogo A.; Sri, Kaust; Patrizi, Stefania 16 2015 A duality based semismooth Newton framework for solving variational inequalities of the second kind. Zbl 1247.65089 De Los Reyes, Juan Carlos; Hintermüller, Michael 16 2011 On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model. Zbl 0967.49009 Ambrosio, Luigi; Colli Franzone, Piero; Savaré, Giuseppe 16 2000 An overdetermined problem with non-constant boundary condition. Zbl 1297.35153 Bianchini, Chiara; Henrot, Antoine; Salani, Paolo 16 2014 The thin film equation with backwards second order diffusion. Zbl 1213.35268 Novick-Cohen, Amy; Shishkov, Andrey 15 2010 A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 15 2019 A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem. Zbl 1404.65110 Chalons, C.; Monache, M. L. Delle; Goatin, P. 15 2017 Lakes and rivers in the landscape: a quasi-variational inequality approach. Zbl 1297.35122 Barrett, John W.; Prigozhin, Leonid 15 2014 A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics. Zbl 1377.49045 Bretin, Elie; Masnou, Simon 15 2017 Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy. Zbl 1160.49010 Braides, Andrea; Zeppieri, Caterina Ida 15 2009 A free-boundary problem for concrete carbonation: front nucleation and rigorous justification of the \(\sqrt{{t}}\)-law of propagation. Zbl 1276.35127 Aiki, Toyohiko; Muntean, Adrian 15 2013 On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop. Zbl 0974.35097 Solonnikov, V. A. 14 1999 Multi-component conserved Allen-Cahn equations. Zbl 07926854 Grasselli, Maurizio; Poiatti, Andrea 2 2024 Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics. Zbl 1542.35305 Alazard, Thomas; Bresch, Didier 2 2024 Almost minimizers for the thin obstacle problem with variable coefficients. Zbl 1546.49070 Jeon, Seongmin; Petrosyan, Arshak; Garcia, Mariana Smit Vega 1 2024 A phase-field version of the Faber-Krahn theorem. Zbl 07926857 Hüttl, Paul; Knopf, Patrik; Laux, Tim 1 2024 \(C^{1,\alpha}\)-regularity for a class of degenerate/singular fully non-linear elliptic equations. Zbl 1542.35098 Baasandorj, Sumiya; Byun, Sun-Sig; Lee, Ki-Ahm; Lee, Se-Chan 1 2024 Monge-Kantorovich interpolation with constraints and application to a parking problem. Zbl 1540.49052 Buttazzo, Giuseppe; Carlier, Guillaume; Eichinger, Katharina 1 2024 Polyharmonic equations involving surface measures. Zbl 1542.35144 Müller, Marius 1 2024 Weak-strong uniqueness for the mean curvature flow of double bubbles. Zbl 1520.53081 Hensel, Sebastian; Laux, Tim 9 2023 Existence and uniqueness of the motion by curvature of regular networks. Zbl 1514.35448 Gößwein, Michael; Menzel, Julia; Pluda, Alessandra 6 2023 Classification of global solutions of a free boundary problem in the plane. Zbl 1526.35330 Dipierro, Serena; Karakhanyan, Aram L.; Valdinoci, Enrico 2 2023 A novel finite element approximation of anisotropic curve shortening flow. Zbl 1541.65094 Deckelnick, Klaus; Nürnberg, Robert 1 2023 Instantaneous convexity breaking for the quasi-static droplet model. Zbl 1526.35329 Chau, Albert; Weinkove, Ben 1 2023 Fully nonlinear free transmission problems. Zbl 1526.35100 Pimentel, Edgard A.; Santos, Makson S. 1 2023 Higher integrability of the gradient for the thermal insulation problem. Zbl 1526.35336 Labourie, Camille; Milakis, Emmanouil 1 2023 Linear stability implies nonlinear stability for Faber-Krahn-type inequalities. Zbl 1519.49035 Allen, Mark; Kriventsov, Dennis; Neumayer, Robin 1 2023 Eddy current approximation in Maxwell obstacle problems. Zbl 1519.35310 Hensel, Maurice; Yousept, Irwin 1 2023 Existence and stability of strong solutions to the Abels-Garcke-Grün model in three dimensions. Zbl 1511.35277 Giorgini, Andrea 9 2022 Finite element error analysis for a system coupling surface evolution to diffusion on the surface. Zbl 1486.65165 Deckelnick, Klaus; Styles, Vanessa 6 2022 Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions. Zbl 1503.60083 Metzger, Stefan; Grün, Günther 5 2022 Modeling and simulation of thin sheet folding. Zbl 1515.74047 Bartels, Sören; Bonito, Andrea; Hornung, Peter 4 2022 The multiphase Muskat problem with equal viscosities in two dimensions. Zbl 1506.35156 Bierler, Jonas; Matioc, Bogdan-Vasile 3 2022 Analysis of a tumor model as a multicomponent deformable porous medium. Zbl 1490.76207 Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen 3 2022 On derivations of evolving surface Navier-Stokes equations. Zbl 07671480 Brandner, Philip; Reusken, Arnold; Schwering, Paul 2 2022 \(K\)-mean convex and \(K\)-outward minimizing sets. Zbl 1490.53108 Cesaroni, Annalisa; Novaga, Matteo 2 2022 Fully nonlinear free transmission problems with nonhomogeneous degeneracies. Zbl 1490.35547 De Filippis, Cristiana 2 2022 On the Rayleigh-Taylor instability for the two-phase Navier-Stokes equations in cylindrical domains. Zbl 1514.35368 Wilke, Mathias 1 2022 Curve-shortening of open elastic curves with repelling endpoints: a minimizing movements approach. Zbl 1497.35296 Badal, Rufat 1 2022 The average-distance problem with an Euler elastica penalization. Zbl 1486.49064 Du, Qiang; Lu, Xin Yang; Wang, Chong 1 2022 On the sharp interface limit of a phase field model for near spherical two phase biomembranes. Zbl 1489.35287 Elliott, Charles M.; Hatcher, Luke; Stinner, Björn 1 2022 Coarse graining and large-\(N\) behavior of the \(d\)-dimensional \(N\)-clock model. Zbl 1476.49019 Cicalese, Marco; Orlando, Gianluca; Ruf, Matthias 8 2021 Sharp interface limit of a Stokes/Cahn-Hilliard system. I: Convergence result. Zbl 1490.76210 Abels, Helmut; Marquardt, Andreas 7 2021 Existence and uniqueness of axially symmetric compressible subsonic jet impinging on an infinite wall. Zbl 1471.76058 Cheng, Jianfeng; Du, Lili; Zhang, Qin 7 2021 Interface dynamics in a two-phase tumor growth model. Zbl 1477.35321 Kim, Inwon C.; Tong, Jiajun 6 2021 On second-order and fourth-order elliptic systems consisting of bulk and surface PDEs: well-posedness, regularity theory and eigenvalue problems. Zbl 1485.35162 Knopf, Patrik; Liu, Chun 6 2021 Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface. Zbl 1486.35345 Gao, Yuan; Liu, Jian-Guo 4 2021 Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem. Zbl 1477.35317 Colombo, Maria; Spolaor, Luca; Velichkov, Bozhidar 1 2021 Pinning of interfaces in a random medium with zero mean. Zbl 1477.35323 Dondl, Patrick W.; Jesenko, Martin; Scheutzow, Michael 1 2021 Some remarks on segregation of \(k\) species in strongly competing systems. Zbl 1479.35367 Lanzara, Flavia; Montefusco, Eugenio 1 2021 On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models. Zbl 1509.35307 Gräser, Carsten; Kies, Tobias 1 2021 Analysis of the Allen-Cahn-Ohta-Nakazawa model in a ternary system. Zbl 1492.35337 Joo, Sookyung; Xu, Xiang; Zhao, Yanxiang 1 2021 Quantitative analysis of finite-difference approximations of free-discontinuity problems. Zbl 1457.65039 Bach, Annika; Braides, Andrea; Zeppieri, Caterina Ida 11 2020 A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. Zbl 1458.35016 Kovács, Balázs; Li, Buyang; Lubich, Christian 11 2020 Segregation effects and gap formation in cross-diffusion models. Zbl 1445.35048 Burger, Martin; Carrillo, José A.; Pietschmann, Jan-Frederik; Schmidtchen, Markus 10 2020 Derivation of a heteroepitaxial thin-film model. Zbl 1437.35269 Davoli, Elisa; Piovano, Paolo 8 2020 Minimisers of a fractional seminorm and nonlocal minimal surfaces. Zbl 1458.35447 Bucur, Claudia; Dipierro, Serena; Lombardini, Luca; Valdinoci, Enrico 7 2020 Existence and regularity theorems of one-dimensional Brakke flows. Zbl 1464.53110 Kim, Lami; Tonegawa, Yoshihiro 7 2020 From individual-based mechanical models of multicellular systems to free-boundary problems. Zbl 1446.35225 Lorenzi, Tommaso; Murray, Philip J.; Ptashnyk, Mariya 7 2020 A bulk-surface reaction-diffusion system for cell polarization. Zbl 1439.35577 Niethammer, Barbara; Röger, Matthias; Velázquez, Juan J. L. 6 2020 Erratum to: “A homogenization result in the gradient theory of phase transitions”. Zbl 1443.74250 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 6 2020 Global weak solvability, continuous dependence on data, and large time growth of swelling moving interfaces. Zbl 1441.35265 Kumazaki, Kota 5 2020 The vanishing exponent limit for motion by a power of mean curvature. Zbl 1442.35200 Liu, Qing 3 2020 Asymptotic behaviors of a free boundary raised from corporate bond evaluation with credit rating migration risks. Zbl 1457.91414 Fu, Wanying; Chen, Xinfu; Liang, Jin 2 2020 A convex approach to the Gilbert-Steiner problem. Zbl 1448.49019 Bonafini, Mauro; Oudet, Édouard 2 2020 Regularity of solutions of a fractional porous medium equation. Zbl 1460.35288 Imbert, Cyril; Tarhini, Rana; Vigneron, François 2 2020 On non stress-free junctions between martensitic plates. Zbl 1458.74115 Della Porta, Francesco 1 2020 Long-time behaviour of solutions to a singular heat equation with an application to hydrodynamics. Zbl 1445.35063 Kitavtsev, Georgy; Taranets, Roman M. 1 2020 A nonlocal diffusion problem with a sharp free boundary. Zbl 1430.35240 Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemi 20 2019 A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389 Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina 15 2019 Global stability for solutions to the exponential PDE describing epitaxial growth. Zbl 1418.35215 Liu, Jian-Guo; Strain, Robert M. 13 2019 A tractable mathematical model for tissue growth. Zbl 1442.35557 Eyles, Joe; King, John R.; Styles, Vanessa 10 2019 Convergence of the Allen-Cahn equation to the mean curvature flow with \(90^\circ\)-contact angle in 2D. Zbl 1430.35127 Abels, Helmut; Moser, Maximilian 8 2019 Large time behavior of a two phase extension of the porous medium equation. Zbl 1423.35225 Oulhaj, Ahmed Ait Hammou; Cancès, Clément; Chainais-Hillairet, Claire; Laurençot, Philippe 7 2019 An obstacle problem for elastic curves: existence results. Zbl 1420.49048 Müller, Marius 7 2019 Phase field modelling of surfactants in multi-phase flow. Zbl 1431.35255 Dunbar, Oliver R. A.; Lam, Kei Fong; Stinner, Björn 7 2019 Non-transversal intersection of the free and fixed boundary in the mean-field theory of superconductivity. Zbl 1458.35170 Indrei, Emanuel 6 2019 Analysis of blow-ups for the double obstacle problem in dimension two. Zbl 1423.35459 Aleksanyan, Gohar 5 2019 Relaxation to a planar interface in the Mullins-Sekerka problem. Zbl 1427.35375 Chugreeva, Olga; Otto, Felix; Westdickenberg, Maria G. 5 2019 Existence, uniqueness and concentration for a system of PDEs involving the Laplace-Beltrami operator. Zbl 1419.35080 Amar, Micol; Gianni, Roberto 4 2019 Well-posedness of non-isentropic Euler equations with physical vacuum. Zbl 1428.35326 Geng, Yongcai; Li, Yachun; Wang, Dehua; Xu, Runzhang 3 2019 Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358 Bartels, Sören; Buttazzo, Giuseppe 2 2019 A lower bound for the void coalescence load in nonlinearly elastic solids. Zbl 1430.74021 Cañulef-Aguilar, Victor; Henao, Duvan 2 2019 A general thermodynamical model for adhesive frictional contacts between viscoelastic or poro-viscoelastic bodies at small strains. Zbl 1425.74346 Roubíček, Tomáš 1 2019 Incompressible fluid problems on embedded surfaces: modeling and variational formulations. Zbl 1406.35224 Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold 49 2018 Approximation of sets of finite fractional perimeter by smooth sets and comparison of local and global s-minimal surfaces. Zbl 1403.49040 Lombardini, Luca 20 2018 Bubbles and droplets in a singular limit of the FitzHugh-Nagumo system. Zbl 1397.49012 Chen, Chao-Nien; Choi, Yung-Sze; Ren, Xiaofeng 13 2018 Free boundary regularity for a degenerate problem with right hand side. Zbl 1415.35074 Leitão, Raimundo; Ricarte, Gleydson C. 12 2018 Fractional elliptic quasi-variational inequalities: theory and numerics. Zbl 1390.35427 Antil, Harbir; Rautenberg, Carlos N. 12 2018 Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall. Zbl 1408.35140 Xiang, Wei; Zhang, Yongqian; Zhao, Qin 11 2018 Approximation and characterization of quasi-static \(H^1\)-evolutions for a cohesive interface with different loading-unloading regimes. Zbl 1400.49009 Negri, Matteo; Vitali, Enrico 8 2018 On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers. Zbl 1396.49027 Bonnivard, Matthieu; Lemenant, Antoine; Millot, Vincent 8 2018 Uniform ball property and existence of optimal shapes for a wide class of geometric functionals. Zbl 1397.49057 Dalphin, Jérémy 8 2018 Asymptotic stability of local Helfrich minimizers. Zbl 1410.35251 Lengeler, Daniel 5 2018 Super-linear propagation for a general, local cane toads model. Zbl 1407.35112 Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E. 4 2018 Minimal partitions for \(p\)-norms of eigenvalues. Zbl 1394.49039 Bogosel, Beniamin; Bonnaillie-Noël, Virginie 4 2018 Thin obstacle problem: estimates of the distance to the exact solution. Zbl 1407.35231 Apushkinskaya, Darya E.; Repin, Sergey I. 3 2018 The Verigin problem with and without phase transition. Zbl 1393.35179 Prüss, Jan; Simonett, Gieri 3 2018 A limit case in non-isotropic two-phase minimization problems driven by \(p\)-Laplacians. Zbl 1412.35151 Da Silva, João Vítor; Rossi, Julio D. 3 2018 Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone. Zbl 1417.49053 Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco 3 2018 A multiple scale pattern formation cascade in reaction-diffusion systems of activator-inhibitor type. Zbl 1393.35098 Henry, Marie; Hilhorst, Danielle; Muratov, Cyrill B. 1 2018 Convergence of thresholding schemes incorporating bulk effects. Zbl 1376.82004 Laux, Tim; Swartz, Drew 17 2017 Some results on anisotropic fractional mean curvature flows. Zbl 1380.53070 Chambolle, Antonin; Novaga, Matteo; Ruffini, Berardo 17 2017 A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem. Zbl 1404.65110 Chalons, C.; Monache, M. L. Delle; Goatin, P. 15 2017 A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics. Zbl 1377.49045 Bretin, Elie; Masnou, Simon 15 2017 Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the \(p(x)\)-Laplacian. Zbl 1516.35557 Lederman, Claudia; Wolanski, Noemi 14 2017 Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth. Zbl 1390.35431 Melchionna, Stefano; Rocca, Elisabetta 13 2017 Minimising a relaxed Willmore functional for graphs subject to boundary conditions. Zbl 1368.49046 Deckelnick, Klaus; Grunau, Hans-Christoph; Röger, Matthias 12 2017 Hysteresis in porous media: modelling and analysis. Zbl 1377.76034 Schweizer, Ben 11 2017 Sharp stability inequalities for planar double bubbles. Zbl 1397.49063 Cicalese, Marco; Leonardi, Gian Paolo; Maggi, Francesco 10 2017 Rigidity and stability of spheres in the Helfrich model. Zbl 1383.74017 Bernard, Yann; Wheeler, Glen; Wheeler, Valentina-Mira 9 2017 Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations. Zbl 1383.35146 Chen, Gui-Qiang G.; Chen, Jun; Feldman, Mikhail 8 2017 ...and 359 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,481 Authors 61 Garcke, Harald 42 Novaga, Matteo 40 Nürnberg, Robert 37 Valdinoci, Enrico 32 Abels, Helmut 27 Matioc, Bogdan-Vasile 25 Chambolle, Antonin 25 Miranville, Alain M. 24 Elliott, Charles M. 24 Yang, Xiaofeng 23 Giga, Yoshikazu 21 Barrett, John William 21 Dipierro, Serena 21 Nochetto, Ricardo Horacio 21 Shahgholian, Henrik 20 Hintermüller, Michael 20 Vazquez, Juan Luis 20 Wick, Thomas 19 Kim, Inwon Christina 19 Voigt, Axel 18 Escher, Joachim 18 Grasselli, Maurizio 18 Monneau, Régis 17 Cui, Shangbin 17 Kim, Junseok 17 Savin, Ovidiu V. 16 De Silva, Daniela 16 Perthame, Benoît 16 Rehberg, Joachim 15 Allaire, Grégoire 15 Cicalese, Marco 15 da Silva, João Vítor 15 Dapogny, Charles 15 Hu, Bei 15 Li, Buyang 15 Masnou, Simon 15 Rohde, Christian 15 Rossi, Julio Daniel 14 Bellettini, Giovanni 14 Braides, Andrea 14 Grün, Günther 14 Rautenberg, Carlos N. 14 Ren, Xiaofeng 14 Roubíček, Tomáš 14 Wei, Juncheng 13 Beneš, Michal 13 Brasco, Lorenzo 13 Cancès, Clément 13 Deckelnick, Klaus 13 Ferrari, Fausto 13 Friedman, Avner 13 Knüpfer, Hans 13 Lam, Kei Fong 13 Neff, Patrizio 13 Ricarte, Gleydson Chaves 13 Rocca, Elisabetta 13 Röger, Matthias 13 Rybka, Piotr 13 Solonnikov, Vsevolod Alekseevich 13 Styles, Vanessa 12 Alphonse, Amal 12 Bartels, Sören 12 Bretin, Elie 12 Burger, Martin 12 Cherfils, Laurence 12 Conti, Sergio 12 Granero Belinchón, Rafael 12 Laux, Tim 12 Lederman, Claudia B. 12 Muratov, Cyrill B. 12 Prüß, Jan Wilhelm 12 Simonett, Gieri 12 Trakhinin, Yuri L. 11 Bauer, Martin 11 Caffarelli, Luis Ángel 11 Čanić, Sunčica 11 Carrillo de la Plata, José Antonio 11 Caselles Costa, Vicent 11 Chen, Xinfu 11 Dondl, Patrick Werner 11 Giacomelli, Lorenzo 11 Iagar, Razvan Gabriel 11 Igbida, Noureddine 11 Kovacs, Balazs A. 11 Maddalena, Francesco 11 Marchese, Andrea 11 Olshanskii, Maxim A. 11 Percivale, Danilo 11 Schmidtchen, Markus 11 Walker, Shawn W. 11 Wolanski, Noemi I. 10 Ambrose, David M. 10 Bîrsan, Mircea 10 Chalons, Christophe 10 Cristoferi, Riccardo 10 Druet, Pierre-Étienne 10 Du, Yihong 10 Esedoglu, Selim 10 Feng, Xinlong 10 Fonseca, Irene ...and 4,381 more Authors all top 5 Cited in 420 Journals 164 Journal of Computational Physics 136 Journal of Differential Equations 118 Computer Methods in Applied Mechanics and Engineering 117 Archive for Rational Mechanics and Analysis 113 Calculus of Variations and Partial Differential Equations 106 SIAM Journal on Mathematical Analysis 101 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 71 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 68 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 65 Interfaces and Free Boundaries 63 Journal of Scientific Computing 62 Journal of Mathematical Analysis and Applications 55 Mathematical Methods in the Applied Sciences 55 Journal de Mathématiques Pures et Appliquées. Neuvième Série 53 Discrete and Continuous Dynamical Systems 50 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 49 Nonlinear Analysis. Real World Applications 47 Numerische Mathematik 45 Communications in Partial Differential Equations 42 Computers & Mathematics with Applications 37 SIAM Journal on Scientific Computing 36 SIAM Journal on Numerical Analysis 36 Physica D 36 NoDEA. Nonlinear Differential Equations and Applications 35 Journal of Nonlinear Science 35 Journal of Mathematical Fluid Mechanics 35 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 Mathematische Annalen 30 Nonlinearity 30 Journal of Computational and Applied Mathematics 30 Advances in Calculus of Variations 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 29 Applied Numerical Mathematics 28 Journal of Functional Analysis 28 European Journal of Applied Mathematics 28 Discrete and Continuous Dynamical Systems. Series B 28 Discrete and Continuous Dynamical Systems. Series S 27 Communications on Pure and Applied Mathematics 27 Mathematics of Computation 27 Annali di Matematica Pura ed Applicata. Serie Quarta 27 Journal of Mathematical Sciences (New York) 27 Journal of Evolution Equations 26 SIAM Journal on Applied Mathematics 26 Journal of Mathematical Imaging and Vision 25 International Journal for Numerical Methods in Engineering 25 Transactions of the American Mathematical Society 24 Applicable Analysis 24 Numerical Methods for Partial Differential Equations 24 The Journal of Geometric Analysis 23 Advances in Mathematics 22 Applied Mathematics and Computation 22 Applied Mathematics and Optimization 22 Journal of Elasticity 21 Communications in Mathematical Physics 20 Networks and Heterogeneous Media 20 Mathematics in Engineering 19 Inverse Problems 19 Continuum Mechanics and Thermodynamics 19 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 19 Communications on Pure and Applied Analysis 18 Computational Mechanics 18 SIAM Journal on Imaging Sciences 17 SIAM Journal on Control and Optimization 17 Journal of Dynamics and Differential Equations 16 Asymptotic Analysis 16 Mathematics and Mechanics of Solids 16 Analysis & PDE 14 Journal of Fluid Mechanics 14 Journal of Mathematical Biology 14 Journal of the Mechanics and Physics of Solids 14 Quarterly of Applied Mathematics 13 Journal of Mathematical Physics 13 Indiana University Mathematics Journal 13 Mathematische Nachrichten 13 Acta Applicandae Mathematicae 13 Journal of the European Mathematical Society (JEMS) 13 Milan Journal of Mathematics 13 Inverse Problems and Imaging 12 Journal of Statistical Physics 12 Potential Analysis 12 International Journal of Computer Vision 11 International Journal of Engineering Science 11 Japan Journal of Industrial and Applied Mathematics 11 Applied Mathematical Modelling 11 Advances in Computational Mathematics 11 Computational Geosciences 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Evolution Equations and Control Theory 10 Computers and Fluids 10 Applications of Mathematics 10 Communications in Contemporary Mathematics 10 Advanced Nonlinear Studies 10 Multiscale Modeling & Simulation 10 Advances in Nonlinear Analysis 10 Geometric Flows 9 Mathematics and Computers in Simulation 9 Computing and Visualization in Science 9 Communications in Nonlinear Science and Numerical Simulation 9 Oberwolfach Reports 9 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche ...and 320 more Journals all top 5 Cited in 51 Fields 2,664 Partial differential equations (35-XX) 956 Fluid mechanics (76-XX) 953 Numerical analysis (65-XX) 820 Calculus of variations and optimal control; optimization (49-XX) 710 Mechanics of deformable solids (74-XX) 375 Biology and other natural sciences (92-XX) 329 Differential geometry (53-XX) 215 Statistical mechanics, structure of matter (82-XX) 137 Classical thermodynamics, heat transfer (80-XX) 113 Global analysis, analysis on manifolds (58-XX) 110 Operator theory (47-XX) 108 Probability theory and stochastic processes (60-XX) 95 Computer science (68-XX) 87 Operations research, mathematical programming (90-XX) 81 Information and communication theory, circuits (94-XX) 77 Ordinary differential equations (34-XX) 74 Real functions (26-XX) 73 Functional analysis (46-XX) 69 Dynamical systems and ergodic theory (37-XX) 53 Measure and integration (28-XX) 52 Integral equations (45-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 42 Statistics (62-XX) 40 Geophysics (86-XX) 37 Optics, electromagnetic theory (78-XX) 33 Systems theory; control (93-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 23 Potential theory (31-XX) 20 Convex and discrete geometry (52-XX) 18 Quantum theory (81-XX) 17 Mechanics of particles and systems (70-XX) 13 General and overarching topics; collections (00-XX) 13 Geometry (51-XX) 11 Functions of a complex variable (30-XX) 11 Difference and functional equations (39-XX) 10 History and biography (01-XX) 10 Approximations and expansions (41-XX) 9 Combinatorics (05-XX) 8 Special functions (33-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Manifolds and cell complexes (57-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Relativity and gravitational theory (83-XX) 2 Algebraic geometry (14-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Mathematics education (97-XX) Citations by Year