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: 4,913 Publications (since 1957) References Indexed: 4,391 Publications with 104,595 References. all top 5 Latest Issues 247, No. 2 (2023) 247, No. 1 (2023) 246, No. 2-3 (2022) 246, No. 1 (2022) 245, No. 3 (2022) 245, No. 2 (2022) 245, No. 1 (2022) 244, No. 3 (2022) 244, No. 2 (2022) 244, No. 1 (2022) 243, No. 3 (2022) 243, No. 2 (2022) 243, No. 1 (2022) 242, No. 3 (2021) 242, No. 2 (2021) 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) ...and 527 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 27 Chen, Gui-Qiang G. 26 Owen, David Roger Jones 26 Rivlin, Ronald Samuel 26 Zumbrun, Kevin R. 25 Ericksen, Jerald Laverne 23 Mizel, Victor J. 22 Caffarelli, Luis Ángel 22 Peletier, Lambertus Adrianus 19 Conti, Sergio 19 Fonseca, Irene 19 Noll, Walter 19 Payne, Lawrence Edward 19 Xin, Zhouping 18 Green, Albert E. 18 Guo, Yan 18 McLeod, John Bryce 18 Slemrod, Marshall 18 Smoller, Joel Alan 17 Antman, Stuart S. 17 Cohen, Harley 17 Feireisl, Eduard 17 Marsden, Jerrold Eldon 17 Velázquez, Juan J. L. 17 Zhang, Zhifei 16 Fosdick, Roger L. 16 Masmoudi, Nader 16 Vazquez, Juan Luis 16 Yang, Tong 16 Zhang, Ping 15 Iooss, Gérard 15 LeFloch, Philippe Gerard 15 Müller, Stefan 15 Sather, Duane 15 Sternberg, Eli 15 Tzavaras, Athanasios E. 14 Bowen, Ray M. 14 Dal Maso, Gianni 14 Fife, Paul C. 14 Knops, Robin J. 14 Mingione, Giuseppe 14 Müller, Ingo 14 Naghdi, Paul Mansour 14 Ortiz, Michael 14 Renardy, Michael 13 Bressan, Alberto 13 Brézis, Haïm 13 Chen, Peter J. 13 Edelen, Dominic Gardiner Bowling 13 Terracini, Susanna 13 Williams, William O. 12 Bhattacharya, Kaushik 12 Giga, Yoshikazu 12 Kim, Inwon Christina 12 Kristensen, Jan 12 Lions, Pierre-Louis 12 Pipkin, Allen C. 12 Ryzhik, Lenya 12 Toland, John Francis 12 Truesdell, Clifford Ambrose III 12 Wei, Juncheng 12 Yu, Shih-Hsien 11 Ball, John MacLeod 11 Figalli, Alessio 11 Huang, Feimin 11 Liu, Tai-Ping 11 Mielke, Alexander 11 Redheffer, Raymond M. 11 Schiffer, Menahem Max 11 Šilhavý, Miroslav 11 Spector, Scott J. 11 Toupin, Richard A. 11 Vasseur, Alexis F. 11 Virga, Epifanio G. 11 Wilcox, Calvin H. 10 Constantin, Adrian 10 Dafermos, Constantine M. 10 Duffin, Richard James 10 Freistühler, Heinrich 10 Frid, Hermano 10 Iwaniec, Tadeusz 10 Jang, Juhi 10 Lin, Fang Hua 10 Perthame, Benoît 10 Rein, Gerhard 10 Shinbrot, Marvin 10 Zuazua, Enrique 9 Beirão da Veiga, Hugo 9 Bouchitté, Guy 9 Braides, Andrea 9 Bucur, Dorin 9 Cesari, Lamberto 9 Chen, Xinfu ...and 3,800 more Authors all top 5 Fields 2,391 Partial differential equations (35-XX) 1,319 Fluid mechanics (76-XX) 931 Mechanics of deformable solids (74-XX) 402 Calculus of variations and optimal control; optimization (49-XX) 376 Statistical mechanics, structure of matter (82-XX) 185 Mechanics of particles and systems (70-XX) 153 Ordinary differential equations (34-XX) 143 Classical thermodynamics, heat transfer (80-XX) 132 Dynamical systems and ergodic theory (37-XX) 123 Differential geometry (53-XX) 111 Operator theory (47-XX) 111 Optics, electromagnetic theory (78-XX) 98 Global analysis, analysis on manifolds (58-XX) 82 Probability theory and stochastic processes (60-XX) 79 Quantum theory (81-XX) 77 Integral equations (45-XX) 66 Functional analysis (46-XX) 62 Numerical analysis (65-XX) 62 Biology and other natural sciences (92-XX) 58 Real functions (26-XX) 45 Functions of a complex variable (30-XX) 45 Geophysics (86-XX) 39 Potential theory (31-XX) 39 Astronomy and astrophysics (85-XX) 38 Measure and integration (28-XX) 38 Relativity and gravitational theory (83-XX) 36 Systems theory; control (93-XX) 18 Operations research, mathematical programming (90-XX) 16 Special functions (33-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Group theory and generalizations (20-XX) 12 Approximations and expansions (41-XX) 10 Convex and discrete geometry (52-XX) 9 Topological groups, Lie groups (22-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 History and biography (01-XX) 7 General topology (54-XX) 6 General and overarching topics; collections (00-XX) 6 Integral transforms, operational calculus (44-XX) 6 Manifolds and cell complexes (57-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 Difference and functional equations (39-XX) 5 Algebraic topology (55-XX) 4 Combinatorics (05-XX) 3 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Category theory; homological algebra (18-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,535 Publications have been cited 115,671 times in 64,502 Documents Cited by ▼ Year ▼ Nonlinear scalar field equations. I: Existence of a ground state. Zbl 0533.35029Berestycki, Henri; Lions, Pierre-Louis 1,134 1983 Convexity conditions and existence theorems in nonlinear elasticity. Zbl 0368.73040Ball, John M. 908 1977 Micro-structure in linear elasticity. Zbl 0119.40302Mindlin, R. D. 888 1964 Elastic materials with couple-stresses. Zbl 0112.16805Toupin, R. A. 673 1962 Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\). Zbl 0676.35032Kwong, Man Kam 660 1989 A symmetry problem in potential theory. Zbl 0222.31007Serrin, James 625 1971 A continuum theory of elastic material surfaces. Zbl 0326.73001Gurtin, Morton E.; Murdoch, A. Ian 605 1975 On the Navier-Stokes initial value problem. I. Zbl 0126.42301Fujita, H.; Kato, Tosio 583 1964 The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010Constantin, Adrian; Lannes, David 559 2009 The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035Fife, Paul C.; McLeod, J. B. 525 1977 The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802Coleman, Bernard D.; Noll, Walter 502 1963 Effects of couple-stresses in linear elasticity. Zbl 0112.38906Mindlin, R. D.; Tierstein, H. F. 493 1962 Dissipative dynamical systems. I: General theory. Zbl 0252.93002Willems, Jan C. 488 1972 Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013Bressan, Alberto; Constantin, Adrian 482 2007 A general theory of heat conduction with finite wave speeds. Zbl 0164.12901Gurtin, M. E.; Pipkin, A. C. 467 1968 On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302Serrin, James 460 1962 Asymptotic stability in viscoelasticity. Zbl 0214.24503Dafermos, C. M. 440 1970 Fine phase mixtures as minimizers of energy. Zbl 0629.49020Ball, J. M.; James, R. D. 433 1987 Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044Crandall, Michael G.; Rabinowitz, Paul H. 417 1973 Regularity results for stationary electro-rheological fluids. Zbl 1038.76058Acerbi, Emilio; Mingione, Giuseppe 387 2002 The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004Modica, Luciano 380 1987 The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056Kato, Tosio 372 1975 Theories of elasticity with couple-stress. Zbl 0131.22001Toupin, R. A. 361 1964 Regularity results for a class of functionals with non-standard growth. Zbl 0984.49020Acerbi, Emilio; Mingione, Giuseppe 356 2001 Inéquations en thermoélasticité et magnétohydrodynamique. Zbl 0264.73027Duvaut, G.; Lions, J. L. 321 1972 Quasilinear Dirichlet problems driven by positive sources. Zbl 0266.34021Joseph, D. D.; Lundgren, T. S. 318 1973 Some constitutive equations for liquid crystals. Zbl 0159.57101Leslie, F. M. 311 1968 Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260Ma, Li; Zhao, Lin 308 2010 Non-linear age-dependent population dynamics. Zbl 0286.92005Gurtin, Morton E.; MacCamy, Richard C. 303 1974 Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032Marcellini, Paolo 294 1989 Semicontinuity problems in the calculus of variations. Zbl 0565.49010Acerbi, Emilio; Fusco, Nicola 292 1984 Traveling waves in a convolution model for phase transitions. Zbl 0889.45012Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng 292 1997 An analysis of a phase field model of a free boundary. Zbl 0608.35080Caginalp, Gunduz 289 1986 Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Zbl 0090.17601Kröner, Ekkehart 288 1960 Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042Ambrosetti, A.; Badiale, M.; Cingolani, S. 285 1997 Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046Berestycki, Henri; Lions, Pierre-Louis 281 1983 Sur l’approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Zbl 0207.16904Témam, R. 279 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. 275 1973 \(L^ 2\) decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031Schonbek, Maria Elena 269 1985 An optimal Poincaré inequality for convex domains. Zbl 0099.08402Payne, L. E.; Weinberger, H. F. 269 1960 Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601Browder, F. E. 260 1967 Regularity for double phase variational problems. Zbl 1322.49065Colombo, Maria; Mingione, Giuseppe 256 2015 A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303Noll, Walter 253 1958 Convergence of approximate solutions to conservation laws. Zbl 0519.35054DiPerna, R. J. 238 1983 On the Cahn-Hilliard equation. Zbl 0624.35048Elliott, Charles M.; Zheng, Songmu 234 1986 A nonlinear theory of elastic materials with voids. Zbl 0444.73018Nunziato, Jace W.; Cowin, Stephen C. 233 1979 Bounded minimisers of double phase variational integrals. Zbl 1325.49042Colombo, Maria; Mingione, Giuseppe 230 2015 Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220Winkler, Michael 226 2014 On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016Iwaniec, Tadeusz; Sbordone, Carlo 225 1992 Estimates of harmonic measure. Zbl 0406.28009Dahlberg, Björn E. J. 223 1977 An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403Coleman, Bernard D.; Noll, Walter 222 1960 On global solution of nonlinear hyperbolic equations. Zbl 0159.39102Sattinger, D. H. 220 1968 Measure-valued solutions to conservation laws. Zbl 0616.35055Diperna, Ronald J. 212 1985 On the thermomechanics of interstitial working. Zbl 0582.73004Dunn, J. E.; Serrin, J. 209 1985 Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057Crandall, Michael G.; Rabinowitz, Paul H. 208 1975 Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001Dunn, J. Ernest; Fosdick, Roger L. 208 1974 General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004Ciarlet, P. G.; Raviart, P. A. 206 1972 A general theory of an elastic-plastic continuum. Zbl 0133.17701Green, A. E.; Naghdi, P. M. 203 1965 A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039Friesecke, Gero; James, Richard D.; Müller, Stefan 202 2006 Liquid crystal flows in two dimensions. Zbl 1346.76011Lin, Fanghua; Lin, Junyu; Wang, Changyou 197 2010 Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Zbl 0789.35008Jensen, Robert 195 1993 A continuum theory for granular materials. Zbl 0243.76005Goodman, M. A.; Cowin, S. C. 194 1972 Entropy solutions for nonlinear degenerate problems. Zbl 0935.35056Carrillo, José 193 1999 Multipolar continuum mechanics. Zbl 0133.17604Green, A. E.; Rivlin, R. S. 190 1964 Exact controllability theorems for linear parabolic equations in one space dimension. Zbl 0231.93003Fattorini, H. O.; Russell, D. L. 188 1971 On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138De Lellis, Camillo; Székelyhidi, László jun. 186 2010 Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078Giga, Yoshikazu; Miyakawa, Tetsuro 185 1985 Hydrostatic theory of liquid crystals. Zbl 0105.23403Ericksen, J. L. 184 1962 Nonholonomic mechanical systems with symmetry. Zbl 0886.70014Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M. 184 1996 Caractérisation de quelques espaces d’interpolation. Zbl 0187.05901Grisvard, P. 181 1967 Dissipative dynamical systems. II: Linear systems with quadratic supply rates. Zbl 0252.93003Willems, Jan C. 179 1972 Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Zbl 1198.35197Hu, Xianpeng; Wang, Dehua 178 2010 A new proof of Moser’s parabolic Harnack inequality using the old ideas of Nash. Zbl 0652.35052Fabes, E. B.; Stroock, D. W. 177 1986 On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029Ding, Wei-Yue; Ni, Wei-Ming 176 1986 The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021Sternberg, Peter 175 1988 On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Zbl 0912.45011Villani, Cédric 172 1998 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302Kato, Tosio 169 1967 The second law of thermodynamics and stability. Zbl 0448.73004Dafermos, C. M. 168 1979 Standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1022.35064Byeon, Jaeyoung; Wang, Zhi-Qiang 168 2002 Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036Benci, Vieri; Cerami, Giovanna 167 1987 Certain non-steady flows of second-order fluids. Zbl 0139.20105Ting, T. W. 165 1963 Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001Aronson, D. G.; Serrin, J. 165 1967 Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105Carrillo, José A.; McCann, Robert J.; Villani, Cédric 161 2006 Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082Slemrod, M. 160 1983 Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101Vitillaro, Enzo 160 1999 Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003Liu, I-Shih 158 1972 The Pohozaev identity for the fractional Laplacian. Zbl 1361.35199Ros-Oton, Xavier; Serra, Joaquim 156 2014 Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Zbl 0631.35058Goodman, Jonathan 155 1986 Quasistatic crack growth in nonlinear elasticity. Zbl 1064.74150Dal Maso, Gianni; Francfort, Gilles A.; Toader, Rodica 151 2005 Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078Byeon, Jaeyoung; Jeanjean, Louis 151 2007 Existence and stability of solutions of a delay-differential system. Zbl 0105.30401Driver, Rodney D. 151 1962 Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096Levine, Howard A.; Serrin, James 150 1997 Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia 148 2005 Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024Brézis, Haïm; Coron, Jean-Michel 147 1985 Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107Ambrosetti, A.; Malchiodi, A.; Secchi, S. 147 2001 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. 147 1977 Axioms and fundamental equations of image processing. Zbl 0788.68153Alvarez, Luis; Guichard, Frédéric; Lions, Pierre-Louis; Morel, Jean- Michel 147 1993 Integral estimates for null Lagrangians. Zbl 0793.58002Iwaniec, Tadeusz; Lutoborski, Adam 147 1993 A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation. Zbl 0426.34019Hastings, S. P.; McLeod, J. B. 146 1980 Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions. Zbl 0249.35029Coffman, Charles V. 145 1972 Stability of Lamb dipoles. Zbl 07525969Abe, Ken; Choi, Kyudong 7 2022 Minkowski inequalities via nonlinear potential theory. Zbl 1498.35213Agostiniani, Virginia; Fogagnolo, Mattia; Mazzieri, Lorenzo 6 2022 Infinite-dimensional inverse problems with finite measurements. Zbl 1481.35390Alberti, Giovanni S.; Santacesaria, Matteo 3 2022 On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations. Zbl 07463772Ghoul, Tej Eddine; Ibrahim, Slim; Lin, Quyuan; Titi, Edriss S. 3 2022 Wave phenomena to the three-dimensional fluid-particle model. Zbl 07463777Li, Hai-Liang; Wang, Teng; Wang, Yi 3 2022 Riemann’s non-differentiable function and the binormal curvature flow. Zbl 07511060Banica, Valeria; Vega, Luis 3 2022 Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics. Zbl 1490.35292Zhang, Junyan 3 2022 Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints. Zbl 1492.49016Guerra, André; Raiță, Bogdan 3 2022 Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047Mazari, Idriss; Nadin, Grégoire; Privat, Yannick 2 2022 Global Schauder estimates for the \(p\)-Laplace system. Zbl 1481.35235Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S. 2 2022 On the energy scaling behaviour of a singularly perturbed Tartar square. Zbl 1480.49002Rüland, Angkana; Tribuzio, Antonio 2 2022 Carleson measure estimates for the Green function. Zbl 1490.35135David, Guy; Li, Linhan; Mayboroda, Svitlana 2 2022 The Bernstein technique for integro-differential equations. Zbl 1491.35077Cabré, Xavier; Dipierro, Serena; Valdinoci, Enrico 2 2022 Stabilization of the linearized water tank system. Zbl 1491.93089Coron, Jean-Michel; Hayat, Amaury; Xiang, Shengquan; Zhang, Christophe 2 2022 Nonuniqueness and existence of continuous, globally dissipative Euler flows. Zbl 1489.35185Isett, Philip 2 2022 Complete entropic inequalities for quantum Markov chains. Zbl 1501.46053Gao, Li; Rouzé, Cambyse 2 2022 Global existence of strong and weak solutions to 2D compressible Navier-Stokes system in bounded domains with large data and vacuum. Zbl 07549421Fan, Xinyu; Li, Jiaxu; Li, Jing 2 2022 Homogenization of ferromagnetic energies on Poisson random sets in the plane. Zbl 1485.49019Braides, Andrea; Piatnitski, Andrey 1 2022 Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches. Zbl 1481.35148Alicandro, Roberto; Braides, Andrea; Cicalese, Marco; De Luca, Lucia; Piatnitski, Andrey 1 2022 On the existence of linearly oscillating galaxies. Zbl 07463770Hadžić, Mahir; Rein, Gerhard; Straub, Christopher 1 2022 Smooth controllability of the Navier-Stokes equation with Navier conditions: application to Lagrangian controllability. Zbl 07463775Liao, Jiajiang; Sueur, Franck; Zhang, Ping 1 2022 Anomalous dissipation in passive scalar transport. Zbl 07488591Drivas, Theodore D.; Elgindi, Tarek M.; Iyer, Gautam; Jeong, In-Jee 1 2022 Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher. Zbl 1489.82080Lu, Jianfeng; Stubbs, Kevin D.; Watson, Alexander B. 1 2022 Existence and asymptotic behavior of large axisymmetric solutions for steady Navier-Stokes system in a pipe. Zbl 07488595Wang, Yun; Xie, Chunjing 1 2022 Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in \(L^\infty\). Zbl 07488596Rosenzweig, Matthew 1 2022 The blow-up rate for a non-scaling invariant semilinear heat equation. Zbl 1486.35074Hamza, Mohamed Ali; Zaag, Hatem 1 2022 Variational aspects of the two-center problem. Zbl 07511053Chen, Kuo-Chang 1 2022 First integrals and symmetries of nonholonomic systems. Zbl 07511057Balseiro, Paula; Sansonetto, Nicola 1 2022 On uniformly rotating binary stars and galaxies. Zbl 07511059Jang, Juhi; Seok, Jinmyoung 1 2022 From graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data clouds. Zbl 07525964García Trillos, Nicolás; Murray, Ryan; Thorpe, Matthew 1 2022 Kac’s process with hard potentials and a moderate angular singularity. Zbl 07525966Heydecker, Daniel 1 2022 Regularity of stationary Boltzmann equation in convex domains. Zbl 1489.35177Chen, Hongxu; Kim, Chanwoo 1 2022 The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. Zbl 07549419Disconzi, Marcelo M.; Ifrim, Mihaela; Tataru, Daniel 1 2022 Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands. Zbl 07549426Guerra, André; Kristensen, Jan 1 2022 Global \({L}_p\) estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form. Zbl 1493.35015Dong, Hongjie; Yastrzhembskiy, Timur 1 2022 Stability of the Couette flow for a 2D Boussinesq system without thermal diffusivity. Zbl 07556962Masmoudi, Nader; Said-Houari, Belkacem; Zhao, Weiren 1 2022 Boyarsky-Meyers estimate for solutions to Zaremba problem. Zbl 1500.35126Alkhutov, Yurij A.; Chechkin, Gregory A.; Maz’ya, Vladimir G. 1 2022 Local well-posedness of free-boundary incompressible elastodynamics with surface tension via vanishing viscosity limit. Zbl 07571554Gu, Xumin; Lei, Zhen 1 2022 Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure. Zbl 07571556Hästö, Peter; Ok, Jihoon 1 2022 Correction to: “Burst of point vortices and non-uniqueness of 2D Euler equations”. Zbl 07592337Grotto, Francesco; Pappalettera, Umberto 1 2022 Global well-posedness for the three dimensional Muskat problem in the critical Sobolev space. Zbl 07592338Gancedo, Francisco; Lazar, Omar 1 2022 On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals. Zbl 1497.49049Bulíček, Miroslav; Gwiazda, Piotr; Skrzeczkowski, Jakub 1 2022 On maximally mixed equilibria of two-dimensional perfect fluids. Zbl 07643210Dolce, Michele; Drivas, Theodore D. 1 2022 Lipschitz bounds and nonautonomous integrals. Zbl 1483.49050De Filippis, Cristiana; Mingione, Giuseppe 22 2021 Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions. Zbl 1456.76134Duerinckx, Mitia; Gloria, Antoine 19 2021 Traveling quasi-periodic water waves with constant vorticity. Zbl 1462.35262Berti, Massimiliano; Franzoi, Laura; Maspero, Alberto 11 2021 Bounded solutions of ideal MHD with compact support in space-time. Zbl 1462.76208Faraco, Daniel; Lindberg, Sauli; Székelyhidi, László jun. 11 2021 Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375Ignat, R.; Jerrard, R. L. 9 2021 Nernst-Planck-Navier-Stokes systems far from equilibrium. Zbl 1471.35230Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah 9 2021 Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit. Zbl 07340104Esposito, Antonio; Patacchini, Francesco Saverio; Schlichting, André; Slepčev, Dejan 8 2021 A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions. 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Zbl 1472.35018Bressan, Alberto; Chiri, Maria Teresa; Shen, Wen 3 2021 ...and 1735 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 37,436 Authors 161 Wei, Juncheng 136 Feireisl, Eduard 121 Carrillo de la Plata, José Antonio 113 Yang, Tong 112 Vazquez, Juan Luis 107 Rădulescu, Vicenţiu D. 106 Yin, Zhaoyang 103 Quintanilla de Latorre, Ramón 99 Tan, Zhong 96 Gurtin, Morton Edward 96 Rajagopal, Kumbakonam Ramamani 96 Zumbrun, Kevin R. 95 Papageorgiou, Nikolaos S. 94 Rossi, Julio Daniel 92 Guo, Boling 91 Chen, Gui-Qiang G. 91 Valdinoci, Enrico 90 Xin, Zhouping 89 Alves, Claudianor Oliveira 86 Winkler, Michael 83 Tang, Xianhua 81 Ammari, Habib M. 81 Fan, Jishan 81 Marsden, Jerrold Eldon 81 Yao, Zhengan 78 Conti, Sergio 78 Friedman, Avner 78 Li, Wan-Tong 78 Zhang, Zhifei 77 Nečasová, Šárka 77 Neff, Patrizio 76 Masmoudi, Nader 76 Wu, Jiahong 76 Zhu, Changjiang 74 Ha, Seung-Yeal 74 Messaoudi, Salim A. 74 Novaga, Matteo 73 Byun, Sun-Sig 71 Mielke, Alexander 71 Wang, Shu 71 Zou, Wenming 70 Lions, Pierre-Louis 69 Giga, Yoshikazu 69 Mingione, Giuseppe 69 Zhao, Huijiang 67 Fonseca, Irene 66 Gazzola, Filippo 65 Caffarelli, Luis Ángel 65 Coleman, Bernard David 65 Zuazua, Enrique 64 Figalli, Alessio 64 Galdi, Giovanni Paolo 64 LeFloch, Philippe Gerard 64 Mu, Chunlai 63 Dong, Hongjie 62 Temam, Roger Meyer 61 Ciarlet, Philippe Gaston 61 Müller, Stefan 61 Straughan, Brian 61 Véron, Laurent 61 Zhang, Ping 60 Liu, Jianguo 60 Titi, Edriss Saleh 58 Braides, Andrea 58 Dal Maso, Gianni 58 Hamel, François 58 Lasiecka, Irena 58 Lin, Chang-Shou 58 Squassina, Marco 58 Steinmann, Paul 58 Zhou, Yong 57 Dolbeault, Jean 57 Hayat, Tasawar 57 Jiang, Song 57 Kukavica, Igor 57 Nazarov, Sergeĭ Aleksandrovich 57 Novotný, Antonín 57 Ortiz, Michael 56 Cao, Daomin 56 Joseph, Daniel D. 56 Miranville, Alain M. 56 Roubíček, Tomáš 56 Toscani, Giuseppe 55 Del Pino, Manuel A. 55 Fabrizio, Mauro 55 Payne, Lawrence Edward 55 Peletier, Lambertus Adrianus 55 Perthame, Benoît 55 Wang, Zhi-Qiang 54 Muñoz Rivera, Jaime Edilberto 54 Stefanelli, Ulisse 54 Wang, Dehua 54 Zhan, Huashui 53 Do Ó, João M. Bezerra 53 Fusco, Nicola 53 Liu, Yue 52 Colombo, Rinaldo M. 52 Laurençot, Philippe 52 Li, Fucai 51 Duan, Renjun ...and 37,336 more Authors all top 5 Cited in 1,011 Journals 3,569 Journal of Differential Equations 3,160 Archive for Rational Mechanics and Analysis 2,903 Journal of Mathematical Analysis and Applications 1,873 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,179 Calculus of Variations and Partial Differential Equations 1,051 ZAMP. Zeitschrift für angewandte Mathematik und Physik 894 Communications in Partial Differential Equations 876 Journal of Mathematical Physics 864 Journal of Functional Analysis 808 Communications in Mathematical Physics 796 SIAM Journal on Mathematical Analysis 792 Acta Mechanica 751 Journal of Elasticity 745 Discrete and Continuous Dynamical Systems 735 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 708 Computer Methods in Applied Mechanics and Engineering 692 Applicable Analysis 684 Nonlinear Analysis. 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(English Edition) 128 International Journal of Solids and Structures 128 Mathematical and Computer Modelling 127 Inventiones Mathematicae 125 Linear Algebra and its Applications 125 Advances in Calculus of Variations 124 Automatica 124 Monatshefte für Mathematik 124 Journal of Inequalities and Applications 123 Mathematical Notes ...and 911 more Journals all top 5 Cited in 63 Fields 38,073 Partial differential equations (35-XX) 14,084 Fluid mechanics (76-XX) 10,949 Mechanics of deformable solids (74-XX) 5,150 Calculus of variations and optimal control; optimization (49-XX) 4,920 Numerical analysis (65-XX) 3,568 Statistical mechanics, structure of matter (82-XX) 3,523 Ordinary differential equations (34-XX) 3,172 Operator theory (47-XX) 2,905 Dynamical systems and ergodic theory (37-XX) 2,756 Biology and other natural sciences (92-XX) 2,157 Global analysis, analysis on manifolds (58-XX) 2,026 Probability theory and stochastic processes (60-XX) 1,977 Systems theory; control (93-XX) 1,974 Differential geometry (53-XX) 1,754 Functional analysis (46-XX) 1,545 Mechanics of particles and systems (70-XX) 1,508 Classical thermodynamics, heat transfer (80-XX) 1,453 Integral equations (45-XX) 1,183 Optics, electromagnetic theory (78-XX) 1,159 Quantum theory (81-XX) 1,116 Real functions (26-XX) 849 Functions of a complex variable (30-XX) 778 Potential theory (31-XX) 753 Harmonic analysis on Euclidean spaces (42-XX) 610 Operations research, mathematical programming (90-XX) 509 Geophysics (86-XX) 453 Approximations and expansions (41-XX) 422 Relativity and gravitational theory (83-XX) 421 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 398 Measure and integration (28-XX) 392 Linear and multilinear algebra; matrix theory (15-XX) 314 Information and communication theory, circuits (94-XX) 313 Computer science (68-XX) 230 Difference and functional equations (39-XX) 228 Convex and discrete geometry (52-XX) 199 Astronomy and astrophysics (85-XX) 189 Special functions (33-XX) 176 Several complex variables and analytic spaces (32-XX) 162 Statistics (62-XX) 154 General topology (54-XX) 129 Integral transforms, operational calculus (44-XX) 128 Combinatorics (05-XX) 122 Topological groups, Lie groups (22-XX) 120 History and biography (01-XX) 104 Manifolds and cell complexes (57-XX) 82 General and overarching topics; collections (00-XX) 78 Abstract harmonic analysis (43-XX) 78 Algebraic topology (55-XX) 63 Associative rings and algebras (16-XX) 61 Geometry (51-XX) 58 Number theory (11-XX) 57 Group theory and generalizations (20-XX) 53 Algebraic geometry (14-XX) 37 Nonassociative rings and algebras (17-XX) 33 Mathematical logic and foundations (03-XX) 26 Commutative algebra (13-XX) 23 Category theory; homological algebra (18-XX) 22 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) 5 Mathematics education (97-XX) 1 General algebraic systems (08-XX) Citations by Year