Archive for Rational Mechanics and Analysis Short Title: Arch. Ration. Mech. Anal. Publisher: Springer, Berlin/Heidelberg ISSN: 0003-9527; 1432-0673/e Online: http://link.springer.com/journal/volumesAndIssues/205 Comments: Indexed cover-to-cover Documents Indexed: 4,755 Publications (since 1957) References Indexed: 4,234 Publications with 97,605 References. all top 5 Latest Issues 242, No. 1 (2021) 241, No. 3 (2021) 241, No. 2 (2021) 241, No. 1 (2021) 240, No. 3 (2021) 240, No. 2 (2021) 240, No. 1 (2021) 239, No. 3 (2021) 239, No. 2 (2021) 239, No. 1 (2021) 238, No. 3 (2020) 238, No. 2 (2020) 238, No. 1 (2020) 237, No. 3 (2020) 237, No. 2 (2020) 237, No. 1 (2020) 236, No. 3 (2020) 236, No. 2 (2020) 236, No. 1 (2020) 235, No. 3 (2020) 235, No. 2 (2020) 235, No. 1 (2020) 234, No. 3 (2019) 234, No. 2 (2019) 234, No. 1 (2019) 233, No. 3 (2019) 233, No. 2 (2019) 233, No. 1 (2019) 232, No. 3 (2019) 232, No. 2 (2019) 232, No. 1 (2019) 231, No. 3 (2019) 231, No. 2 (2019) 231, No. 1 (2019) 230, No. 3 (2018) 230, No. 2 (2018) 230, No. 1 (2018) 229, No. 3 (2018) 229, No. 2 (2018) 229, No. 1 (2018) 228, No. 3 (2018) 228, No. 2 (2018) 228, No. 1 (2018) 227, No. 3 (2018) 227, No. 2 (2018) 227, No. 1 (2018) 226, No. 3 (2017) 226, No. 2 (2017) 226, No. 1 (2017) 225, No. 3 (2017) 225, No. 2 (2017) 225, No. 1 (2017) 224, No. 3 (2017) 224, No. 2 (2017) 224, No. 1 (2017) 223, No. 3 (2017) 223, No. 2 (2017) 223, No. 1 (2017) 222, No. 3 (2016) 222, No. 2 (2016) 222, No. 1 (2016) 221, No. 3 (2016) 221, No. 2 (2016) 221, No. 1 (2016) 220, No. 3 (2016) 220, No. 2 (2016) 220, No. 1 (2016) 219, No. 3 (2016) 219, No. 2 (2016) 219, No. 1 (2016) 218, No. 3 (2015) 218, No. 2 (2015) 218, No. 1 (2015) 217, No. 3 (2015) 217, No. 2 (2015) 217, No. 1 (2015) 216, No. 3 (2015) 216, No. 2 (2015) 216, No. 1 (2015) 215, No. 3 (2015) 215, No. 2 (2015) 215, No. 1 (2015) 214, No. 3 (2014) 214, No. 2 (2014) 214, No. 1 (2014) 213, No. 3 (2014) 213, No. 2 (2014) 213, No. 1 (2014) 212, No. 3 (2014) 212, No. 2 (2014) 212, No. 1 (2014) 211, No. 3 (2014) 211, No. 2 (2014) 211, No. 1 (2014) 210, No. 3 (2013) 210, No. 2 (2013) 210, No. 1 (2013) 209, No. 3 (2013) 209, No. 2 (2013) 209, No. 1 (2013) ...and 512 more Volumes all top 5 Authors 56 Gurtin, Morton Edward 48 Coleman, Bernard David 39 Day, William Alan 38 Friedman, Avner 35 Galdi, Giovanni Paolo 33 Marris, Andrew W. 29 Joseph, Daniel D. 29 Serrin, James 26 Chen, Gui-Qiang G. 26 Rivlin, Ronald Samuel 26 Zumbrun, Kevin R. 25 Ericksen, Jerald Laverne 23 Mizel, Victor J. 23 Owen, David R. 22 Peletier, Lambertus Adrianus 21 Caffarelli, Luis Ángel 19 Fonseca, Irene 19 Noll, Walter 19 Payne, Lawrence Edward 18 Conti, Sergio 18 Green, Albert E. 18 McLeod, John Bryce 18 Slemrod, Marshall 18 Smoller, Joel Alan 18 Xin, Zhouping 17 Cohen, Harley 17 Marsden, Jerrold Eldon 17 Velázquez, Juan J. L. 16 Antman, Stuart S. 16 Feireisl, Eduard 16 Fosdick, Roger L. 16 Guo, Yan 16 Vazquez, Juan Luis 16 Yang, Tong 15 Iooss, Gérard 15 LeFloch, Philippe Gerard 15 Masmoudi, Nader 15 Müller, Stefan 15 Sather, Duane 15 Sternberg, Eli 15 Tzavaras, Athanasios E. 15 Zhang, Ping 14 Bowen, Ray M. 14 Dal Maso, Gianni 14 Fife, Paul C. 14 Knops, Robin J. 14 Müller, Ingo 14 Naghdi, Paul Mansour 14 Renardy, Michael 14 Zhang, Zhifei 13 Bressan, Alberto 13 Brézis, Haïm 13 Chen, Peter J. 13 Edelen, Dominic Gardiner Bowling 13 Mingione, Giuseppe 13 Williams, William O. 12 Bhattacharya, Kaushik 12 Lions, Pierre-Louis 12 Ortiz, Michael 12 Pipkin, Allen C. 12 Terracini, Susanna 12 Toland, John Francis 12 Truesdell, Clifford Ambrose III 11 Ball, John M. 11 Figalli, Alessio 11 Huang, Feimin 11 Mielke, Alexander 11 Redheffer, Raymond M. 11 Schiffer, Menahem Max 11 Šilhavý, Miroslav 11 Spector, Scott J. 11 Toupin, Richard A. 11 Virga, Epifanio G. 11 Wilcox, Calvin H. 11 Yu, Shih-Hsien 10 Dafermos, Constantine M. 10 Duffin, Richard James 10 Freistühler, Heinrich 10 Frid, Hermano 10 Giga, Yoshikazu 10 Iwaniec, Tadeusz 10 Kim, Inwon Christina 10 Kristensen, Jan 10 Liu, Tai-Ping 10 Perthame, Benoît 10 Ryzhik, Lenya 10 Shinbrot, Marvin 10 Vasseur, Alexis F. 10 Wei, Juncheng 10 Zuazua, Enrique 9 Beirão da Veiga, Hugo 9 Cesari, Lamberto 9 Chen, Xinfu 9 Ciarlet, Philippe Gaston 9 Constantin, Adrian 9 Garroni, Adriana 9 Hale, Jack Kenneth 9 Horgan, Cornelius Oliver 9 James, Richard D. 9 Knightly, George H. ...and 3,641 more Authors all top 5 Fields 2,267 Partial differential equations (35-XX) 1,262 Fluid mechanics (76-XX) 915 Mechanics of deformable solids (74-XX) 377 Calculus of variations and optimal control; optimization (49-XX) 356 Statistical mechanics, structure of matter (82-XX) 181 Mechanics of particles and systems (70-XX) 150 Ordinary differential equations (34-XX) 141 Classical thermodynamics, heat transfer (80-XX) 126 Dynamical systems and ergodic theory (37-XX) 116 Differential geometry (53-XX) 107 Operator theory (47-XX) 105 Optics, electromagnetic theory (78-XX) 90 Global analysis, analysis on manifolds (58-XX) 76 Integral equations (45-XX) 76 Probability theory and stochastic processes (60-XX) 71 Quantum theory (81-XX) 64 Functional analysis (46-XX) 61 Biology and other natural sciences (92-XX) 60 Numerical analysis (65-XX) 54 Real functions (26-XX) 43 Functions of a complex variable (30-XX) 40 Geophysics (86-XX) 37 Measure and integration (28-XX) 36 Potential theory (31-XX) 35 Relativity and gravitational theory (83-XX) 34 Astronomy and astrophysics (85-XX) 32 Systems theory; control (93-XX) 17 Operations research, mathematical programming (90-XX) 15 Special functions (33-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Group theory and generalizations (20-XX) 10 Approximations and expansions (41-XX) 10 Convex and discrete geometry (52-XX) 9 Topological groups, Lie groups (22-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 General topology (54-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Integral transforms, operational calculus (44-XX) 6 Manifolds and cell complexes (57-XX) 5 Algebraic topology (55-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 2 Category theory; homological algebra (18-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,364 Publications have been cited 100,937 times in 57,281 Documents Cited by ▼ Year ▼ Nonlinear scalar field equations. I: Existence of a ground state. Zbl 0533.35029Berestycki, Henri; Lions, Pierre-Louis 943 1983 Convexity conditions and existence theorems in nonlinear elasticity. Zbl 0368.73040Ball, John M. 835 1977 Micro-structure in linear elasticity. Zbl 0119.40302Mindlin, R. D. 757 1964 Elastic materials with couple-stresses. Zbl 0112.16805Toupin, R. A. 565 1962 Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\). Zbl 0676.35032Kwong, Man Kam 564 1989 A symmetry problem in potential theory. Zbl 0222.31007Serrin, James 543 1971 On the Navier-Stokes initial value problem. I. Zbl 0126.42301Fujita, H.; Kato, Tosio 528 1964 A continuum theory of elastic material surfaces. Zbl 0326.73001Gurtin, Morton E.; Murdoch, A. Ian 502 1975 The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010Constantin, Adrian; Lannes, David 496 2009 The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035Fife, Paul C.; McLeod, J. B. 470 1977 The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802Coleman, Bernard D.; Noll, Walter 449 1963 Dissipative dynamical systems. I: General theory. Zbl 0252.93002Willems, Jan C. 433 1972 Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013Bressan, Alberto; Constantin, Adrian 428 2007 Effects of couple-stresses in linear elasticity. Zbl 0112.38906Mindlin, R. D.; Tierstein, H. F. 415 1962 Fine phase mixtures as minimizers of energy. Zbl 0629.49020Ball, J. M.; James, R. D. 408 1987 On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302Serrin, James 404 1962 A general theory of heat conduction with finite wave speeds. Zbl 0164.12901Gurtin, M. E.; Pipkin, A. C. 402 1968 Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044Crandall, Michael G.; Rabinowitz, Paul H. 381 1973 Asymptotic stability in viscoelasticity. Zbl 0214.24503Dafermos, C. M. 351 1970 The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004Modica, Luciano 342 1987 Regularity results for stationary electro-rheological fluids. Zbl 1038.76058Acerbi, Emilio; Mingione, Giuseppe 327 2002 The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056Kato, Tosio 326 1975 Theories of elasticity with couple-stress. Zbl 0131.22001Toupin, R. A. 316 1964 Regularity results for a class of functionals with non-standard growth. Zbl 0984.49020Acerbi, Emilio; Mingione, Giuseppe 316 2001 Quasilinear Dirichlet problems driven by positive sources. Zbl 0266.34021Joseph, D. D.; Lundgren, T. S. 291 1973 Non-linear age-dependent population dynamics. Zbl 0286.92005Gurtin, Morton E.; MacCamy, Richard C. 282 1974 Semicontinuity problems in the calculus of variations. Zbl 0565.49010Acerbi, Emilio; Fusco, Nicola 275 1984 Inéquations en thermoélasticité et magnétohydrodynamique. Zbl 0264.73027Duvaut, G.; Lions, J. L. 272 1972 Some constitutive equations for liquid crystals. Zbl 0159.57101Leslie, F. M. 270 1968 Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042Ambrosetti, A.; Badiale, M.; Cingolani, S. 267 1997 An analysis of a phase field model of a free boundary. Zbl 0608.35080Caginalp, Gunduz 267 1986 Traveling waves in a convolution model for phase transitions. Zbl 0889.45012Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng 249 1997 Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Zbl 0090.17601Kröner, Ekkehart 248 1960 A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303Noll, Walter 245 1958 Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046Berestycki, Henri; Lions, Pierre-Louis 244 1983 Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601Browder, F. E. 243 1967 Sur l’approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Zbl 0207.16904Témam, R. 238 1969 Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\). Zbl 0278.35052Levine, Howard A. 236 1973 Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032Marcellini, Paolo 232 1989 An optimal Poincaré inequality for convex domains. Zbl 0099.08402Payne, L. E.; Weinberger, H. F. 231 1960 Convergence of approximate solutions to conservation laws. Zbl 0519.35054DiPerna, R. J. 229 1983 Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260Ma, Li; Zhao, Lin 229 2010 \(L^ 2\) decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031Schonbek, Maria Elena 226 1985 An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403Coleman, Bernard D.; Noll, Walter 216 1960 On the Cahn-Hilliard equation. Zbl 0624.35048Elliott, Charles M.; Zheng, Songmu 207 1986 Estimates of harmonic measure. Zbl 0406.28009Dahlberg, Björn E. J. 202 1977 Measure-valued solutions to conservation laws. Zbl 0616.35055Diperna, Ronald J. 199 1985 Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001Dunn, J. Ernest; Fosdick, Roger L. 199 1974 General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004Ciarlet, P. G.; Raviart, P. A. 196 1972 A general theory of an elastic-plastic continuum. Zbl 0133.17701Green, A. E.; Naghdi, P. M. 192 1965 Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057Crandall, Michael G.; Rabinowitz, Paul H. 192 1975 A nonlinear theory of elastic materials with voids. Zbl 0444.73018Nunziato, Jace W.; Cowin, Stephen C. 190 1979 On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016Iwaniec, Tadeusz; Sbordone, Carlo 187 1992 Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Zbl 0789.35008Jensen, Robert 182 1993 On global solution of nonlinear hyperbolic equations. Zbl 0159.39102Sattinger, D. H. 177 1968 A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039Friesecke, Gero; James, Richard D.; Müller, Stefan 176 2006 Caractérisation de quelques espaces d’interpolation. Zbl 0187.05901Grisvard, P. 176 1967 On the thermomechanics of interstitial working. Zbl 0582.73004Dunn, J. E.; Serrin, J. 174 1985 Nonholonomic mechanical systems with symmetry. Zbl 0886.70014Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M. 172 1996 Regularity for double phase variational problems. Zbl 1322.49065Colombo, Maria; Mingione, Giuseppe 172 2015 A continuum theory for granular materials. Zbl 0243.76005Goodman, M. A.; Cowin, S. C. 171 1972 Multipolar continuum mechanics. Zbl 0133.17604Green, A. E.; Rivlin, R. S. 170 1964 Liquid crystal flows in two dimensions. Zbl 1346.76011Lin, Fanghua; Lin, Junyu; Wang, Changyou 168 2010 Entropy solutions for nonlinear degenerate problems. Zbl 0935.35056Carrillo, José 167 1999 On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029Ding, Wei-Yue; Ni, Wei-Ming 165 1986 A new proof of Moser’s parabolic Harnack inequality using the old ideas of Nash. Zbl 0652.35052Fabes, E. B.; Stroock, D. W. 164 1986 Hydrostatic theory of liquid crystals. Zbl 0105.23403Ericksen, J. L. 164 1962 Exact controllability theorems for linear parabolic equations in one space dimension. Zbl 0231.93003Fattorini, H. O.; Russell, D. L. 162 1971 Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078Giga, Yoshikazu; Miyakawa, Tetsuro 161 1985 Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220Winkler, Michael 160 2014 The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021Sternberg, Peter 160 1988 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302Kato, Tosio 159 1967 Bounded minimisers of double phase variational integrals. Zbl 1325.49042Colombo, Maria; Mingione, Giuseppe 159 2015 Dissipative dynamical systems. II: Linear systems with quadratic supply rates. Zbl 0252.93003Willems, Jan C. 155 1972 Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001Aronson, D. G.; Serrin, J. 153 1967 Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082Slemrod, M. 152 1983 Standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1022.35064Byeon, Jaeyoung; Wang, Zhi-Qiang 151 2002 Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036Benci, Vieri; Cerami, Giovanna 150 1987 On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Zbl 0912.45011Villani, Cédric 148 1998 Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003Liu, I-Shih 148 1972 Existence and stability of solutions of a delay-differential system. Zbl 0105.30401Driver, Rodney D. 147 1962 Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Zbl 1198.35197Hu, Xianpeng; Wang, Dehua 144 2010 Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107Ambrosetti, A.; Malchiodi, A.; Secchi, S. 142 2001 Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105Carrillo, José A.; McCann, Robert J.; Villani, Cédric 142 2006 On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138De Lellis, Camillo; Székelyhidi, László jun. 141 2010 Quasistatic crack growth in nonlinear elasticity. Zbl 1064.74150Dal Maso, Gianni; Francfort, Gilles A.; Toader, Rodica 140 2005 Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Zbl 0631.35058Goodman, Jonathan 140 1986 A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation. Zbl 0426.34019Hastings, S. P.; McLeod, J. B. 139 1980 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E. 139 1977 Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101Vitillaro, Enzo 138 1999 Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory. Zbl 0145.36902Ikebe, T. 138 1960 Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078Byeon, Jaeyoung; Jeanjean, Louis 137 2007 Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096Levine, Howard A.; Serrin, James 136 1997 Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024Brézis, Haïm; Coron, Jean-Michel 136 1985 The second law of thermodynamics and stability. Zbl 0448.73004Dafermos, C. M. 134 1979 Certain non-steady flows of second-order fluids. Zbl 0139.20105Ting, T. W. 134 1963 Integral estimates for null Lagrangians. Zbl 0793.58002Iwaniec, Tadeusz; Lutoborski, Adam 133 1993 Existence theorem for a minimum problem with free discontinuity set. Zbl 0682.49002De Giorgi, E.; Carriero, M.; Leaci, A. 133 1989 The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations. Zbl 0708.35019Jensen, Robert 132 1988 On a class of conservation laws in linearized and finite elastostatics. Zbl 0232.73017Knowles, J. K.; Sternberg, Eli 129 1972 Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243Hairer, Martin; Pardoux, Étienne 3 2021 Continued gravitational collapse for Newtonian stars. Zbl 07298829Guo, Yan; Hadžić, Mahir; Jang, Juhi 3 2021 Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions. Zbl 1456.76134Duerinckx, Mitia; Gloria, Antoine 3 2021 Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms. Zbl 1456.76139Davoli, Elisa; Scarpa, Luca; Trussardi, Lara 2 2021 Almost global solutions to the three-dimensional isentropic inviscid flows with damping in a physical vacuum around Barenblatt solutions. (Almost global solutions to the three-dimensional isentropic inviscid flows with damping in a physical vacuum around Barenlatt solutions.) Zbl 07298830Zeng, Huihui 2 2021 Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375Ignat, R.; Jerrard, R. L. 2 2021 Traveling quasi-periodic water waves with constant vorticity. Zbl 1462.35262Berti, Massimiliano; Franzoi, Laura; Maspero, Alberto 2 2021 Regularity for \(C^{1, \alpha}\) interface transmission problems. Zbl 1467.35169Caffarelli, Luis Ángel; Soria-Carro, María; Stinga, Pablo Raúl 2 2021 On the free surface motion of highly subsonic heat-conducting inviscid flows. Zbl 1464.76047Luo, Tao; Zeng, Huihui 2 2021 A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions. Zbl 1456.35210Bernardin, C.; Gonçalves, P.; Jiménez-Oviedo, B. 1 2021 Bounded solutions of ideal MHD with compact support in space-time. Zbl 1462.76208Faraco, Daniel; Lindberg, Sauli; Székelyhidi, László jun. 1 2021 A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree \(\pm 1\) harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\). Zbl 1466.78007Bernand-Mantel, Anne; Muratov, Cyrill B.; Simon, Theresa M. 1 2021 Two-dimensional grain boundary networks: stochastic particle models and kinetic limits. Zbl 1455.74011Klobusicky, Joe; Menon, Govind; Pego, Robert L. 1 2021 Weak solutions to the Muskat problem with surface tension via optimal transport. Zbl 1460.65114Jacobs, Matt; Kim, Inwon; Mészáros, Alpár R. 1 2021 Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime. Zbl 1456.82909Dipasquale, Federico; Millot, Vincent; Pisante, Adriano 1 2021 Surface energy and boundary layers for a chain of atoms at low temperature. Zbl 1456.82666Jansen, Sabine; König, Wolfgang; Schmidt, Bernd; Theil, Florian 1 2021 From Steklov to Neumann via homogenisation. Zbl 1458.35040Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean 1 2021 Nonlinear hyperbolic waves in relativistic gases of massive particles with Synge energy. Zbl 1456.76164Ruggeri, Tommaso; Xiao, Qinghua; Zhao, Huijiang 1 2021 Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics. Zbl 1458.35356Trakhinin, Yuri; Wang, Tao 1 2021 Large KAM tori for quasi-linear perturbations of KdV. Zbl 1462.35329Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo 1 2021 Partially regular weak solutions of the Navier-Stokes equations in \(\mathbb{R}^4 \times [0,\infty[\). Zbl 07326817Wu, Bian 1 2021 Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation. Zbl 1464.35028Côte, Raphaël; Martel, Yvan; Yuan, Xu 1 2021 Anticipation breeds alignment. Zbl 07331721Shu, Ruiwen; Tadmor, Eitan 1 2021 Hard spheres dynamics: weak vs strong collisions. Zbl 07331722Serre, Denis 1 2021 Derivation of the Landau-Pekar equations in a many-body mean-field limit. Zbl 07331726Leopold, Nikolai; Mitrouskas, David; Seiringer, Robert 1 2021 3-d axisymmetric transonic shock solutions of the full Euler system in divergent nozzles. Zbl 1464.35096Park, Yong 1 2021 Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd 1 2021 Crystallization to the square lattice for a two-body potential. Zbl 1465.74008Bétermin, Laurent; De Luca, Lucia; Petrache, Mircea 1 2021 Nernst-Planck-Navier-Stokes systems far from equilibrium. Zbl 07340114Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah 1 2021 On the Serrin-type condition on one velocity component for the Navier-Stokes equations. Zbl 07357860Chae, D.; Wolf, J. 1 2021 On the problem of maximal \(L^q\)-regularity for viscous Hamilton-Jacobi equations. Zbl 1467.35155Cirant, Marco; Goffi, Alessandro 1 2021 Global existence and the decay of solutions to the Prandtl system with small analytic data. Zbl 07364837Paicu, Marius; Zhang, Ping 1 2021 On the long-time behavior of dissipative solutions to models of non-Newtonian compressible fluids. Zbl 07364839Feireisl, Eduard; Kwon, Young-Sam; Novotný, Antonín 1 2021 Nonexistence of subcritical solitary waves. Zbl 1467.76023Kozlov, Vladimir; Lokharu, Evgeniy; Wheeler, Miles H. 1 2021 Local well-posedness of strong solutions to the three-dimensional compressible primitive equations. Zbl 07364847Liu, Xin; Titi, Edriss S. 1 2021 Two-dimensional pseudosteady flows around a sharp corner. Zbl 07364849Lai, Geng; Sheng, Wancheng 1 2021 Global solutions to the compressible Euler equations with heat transport by convection around Dyson’s isothermal affine solutions. Zbl 07364852Rickard, Calum 1 2021 Topological singular set of vector-valued maps. II: \( \varGamma \)-convergence for Ginzburg-Landau type functionals. Zbl 1467.58004Canevari, Giacomo; Orlandi, Giandomenico 1 2021 Mean-field limits: from particle descriptions to macroscopic equations. Zbl 07373893Carrillo, José A.; Choi, Young-Pil 1 2021 Rigidity of branching microstructures in shape memory alloys. Zbl 07373896Simon, Theresa M. 1 2021 Solution semiflow to the isentropic Euler system. Zbl 1441.35164Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina 10 2020 Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge. Zbl 1434.35234Lindblad, Hans; Taylor, Martin 10 2020 Gluing methods for vortex dynamics in Euler flows. Zbl 1439.35382Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng 10 2020 Weak solutions for some compressible multicomponent fluid models. Zbl 1434.35062Novotný, Antonín; Pokorný, Milan 9 2020 Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus. Zbl 1436.58025Carrillo, J. A.; Gvalani, R. S.; Pavliotis, G. A.; Schlichting, A. 9 2020 A regularity criterion for the Navier-Stokes equation involving only the middle eigenvalue of the strain tensor. Zbl 1434.35060Miller, Evan 8 2020 Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion. 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Zbl 1436.76002Di Fratta, Giovanni; Robbins, Jonathan M.; Slastikov, Valeriy; Zarnescu, Arghir 2 2020 ...and 1722 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 33,426 Authors 149 Wei, Juncheng 118 Feireisl, Eduard 109 Yang, Tong 106 Vazquez, Juan Luis 105 Carrillo de la Plata, José Antonio 95 Gurtin, Morton Edward 94 Rajagopal, Kumbakonam Ramamani 93 Zumbrun, Kevin R. 91 Yin, Zhaoyang 87 Quintanilla de Latorre, Ramón 86 Rossi, Julio Daniel 86 Tan, Zhong 82 Chen, Gui-Qiang G. 82 Xin, Zhouping 80 Marsden, Jerrold Eldon 80 Valdinoci, Enrico 79 Guo, Boling 78 Friedman, Avner 78 Rădulescu, Vicenţiu D. 77 Alves, Claudianor Oliveira 75 Papageorgiou, Nikolaos S. 74 Fan, Jishan 72 Ammari, Habib M. 71 Conti, Sergio 71 Winkler, Michael 70 Li, Wan-Tong 70 Yao, Zhengan 69 Messaoudi, Salim A. 68 Lions, Pierre-Louis 68 Mielke, Alexander 68 Mingione, Giuseppe 67 Zhao, Huijiang 67 Zhu, Changjiang 66 Zhang, Zhifei 65 Coleman, Bernard David 65 Tang, Xianhua 64 Caffarelli, Luis Ángel 64 Masmoudi, Nader 64 Nečasová, Šárka 63 Novaga, Matteo 62 Figalli, Alessio 62 Fonseca, Irene 62 Ha, Seung-Yeal 62 Mu, Chunlai 62 Neff, Patrizio 62 Wu, Jiahong 61 Ciarlet, Philippe Gaston 61 Giga, Yoshikazu 60 Galdi, Giovanni Paolo 60 Müller, Stefan 59 Byun, Sun-Sig 59 LeFloch, Philippe Gerard 59 Wang, Shu 58 Gazzola, Filippo 58 Lin, Chang-Shou 58 Temam, Roger Meyer 58 Véron, Laurent 58 Zou, Wenming 57 Straughan, Brian 56 Dong, Hongjie 56 Hayat, Tasawar 56 Joseph, Daniel D. 56 Lasiecka, Irena 56 Nazarov, Sergeĭ Aleksandrovich 56 Zuazua, Enrique 55 Fabrizio, Mauro 55 Payne, Lawrence Edward 55 Peletier, Lambertus Adrianus 55 Squassina, Marco 55 Zhang, Ping 54 Braides, Andrea 54 Dal Maso, Gianni 54 Del Pino, Manuel A. 54 Toscani, Giuseppe 53 Miranville, Alain M. 53 Roubíček, Tomáš 53 Steinmann, Paul 53 Titi, Edriss Saleh 52 Dolbeault, Jean 52 Fusco, Nicola 52 Jiang, Song 52 Kukavica, Igor 52 Liu, Jianguo 52 Muñoz Rivera, Jaime Edilberto 52 Wang, Zhi-Qiang 51 Hamel, François 51 Zhou, Yong 50 Ambrosio, Luigi 50 Do Ó, João M. 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English Series 114 Mathematical Notes 110 Inventiones Mathematicae 110 Systems & Control Letters 109 Rocky Mountain Journal of Mathematics 108 Automatica ...and 832 more Journals all top 5 Cited in 63 Fields 32,950 Partial differential equations (35-XX) 12,194 Fluid mechanics (76-XX) 9,905 Mechanics of deformable solids (74-XX) 4,645 Calculus of variations and optimal control; optimization (49-XX) 4,270 Numerical analysis (65-XX) 3,345 Ordinary differential equations (34-XX) 3,127 Statistical mechanics, structure of matter (82-XX) 2,847 Operator theory (47-XX) 2,615 Dynamical systems and ergodic theory (37-XX) 2,362 Biology and other natural sciences (92-XX) 1,969 Global analysis, analysis on manifolds (58-XX) 1,725 Differential geometry (53-XX) 1,712 Systems theory; control (93-XX) 1,677 Probability theory and stochastic processes (60-XX) 1,542 Functional analysis (46-XX) 1,435 Mechanics of particles and systems (70-XX) 1,376 Classical thermodynamics, heat transfer (80-XX) 1,330 Integral equations (45-XX) 1,022 Optics, electromagnetic theory (78-XX) 980 Quantum theory (81-XX) 896 Real functions (26-XX) 748 Functions of a complex variable (30-XX) 680 Potential theory (31-XX) 625 Harmonic analysis on Euclidean spaces (42-XX) 540 Operations research, mathematical programming (90-XX) 421 Approximations and expansions (41-XX) 401 Geophysics (86-XX) 364 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 359 Linear and multilinear algebra; matrix theory (15-XX) 355 Relativity and gravitational theory (83-XX) 334 Measure and integration (28-XX) 270 Information and communication theory, circuits (94-XX) 231 Computer science (68-XX) 202 Difference and functional equations (39-XX) 195 Convex and discrete geometry (52-XX) 177 Astronomy and astrophysics (85-XX) 174 Special functions (33-XX) 159 Several complex variables and analytic spaces (32-XX) 140 General topology (54-XX) 123 Statistics (62-XX) 113 Integral transforms, operational calculus (44-XX) 111 Topological groups, Lie groups (22-XX) 109 History and biography (01-XX) 97 Manifolds and cell complexes (57-XX) 93 Combinatorics (05-XX) 72 Algebraic topology (55-XX) 68 Abstract harmonic analysis (43-XX) 67 General and overarching topics; collections (00-XX) 51 Geometry (51-XX) 48 Algebraic geometry (14-XX) 47 Associative rings and algebras (16-XX) 47 Group theory and generalizations (20-XX) 45 Number theory (11-XX) 36 Nonassociative rings and algebras (17-XX) 27 Mathematical logic and foundations (03-XX) 22 Commutative algebra (13-XX) 22 Category theory; homological algebra (18-XX) 19 Sequences, series, summability (40-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 14 Field theory and polynomials (12-XX) 9 \(K\)-theory (19-XX) 4 Mathematics education (97-XX) 1 General algebraic systems (08-XX) Citations by Year