Archive for Rational Mechanics and Analysis Short Title: Arch. Ration. Mech. Anal. Publisher: Springer, Berlin/Heidelberg ISSN: 0003-9527; 1432-0673/e Online: https://link.springer.com/journal/205/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 5,067 Publications (since 1957) References Indexed: 4,543 Publications with 110,950 References. all top 5 Latest Issues 248, No. 5 (2024) 248, No. 4 (2024) 248, No. 3 (2024) 248, No. 2 (2024) 248, No. 1 (2024) 247, No. 6 (2023) 247, No. 5 (2023) 247, No. 4 (2023) 247, No. 3 (2023) 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) ...and 536 more Volumes all top 5 Authors 56 Gurtin, Morton Edward 53 Wang, Chao Chen 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 Ross 26 Rivlin, Ronald Samuel 26 Zumbrun, Kevin R. 25 Ericksen, Jerald Laverne 23 Caffarelli, Luis Ángel 23 Mizel, Victor J. 22 Conti, Sergio 22 Peletier, Lambertus Adrianus 21 Guo, Yan 20 Fonseca, Irene 20 Xin, Zhouping 19 Noll, Walter 19 Payne, Lawrence Edward 18 Green, Albert E. 18 McLeod, John Bryce 18 Slemrod, Marshall 18 Smoller, Joel Alan 18 Velázquez, Juan J. L. 18 Yang, Tong 17 Antman, Stuart S. 17 Cohen, Harley 17 Feireisl, Eduard 17 Marsden, Jerrold Eldon 17 Masmoudi, Nader 17 Zhang, Ping 17 Zhang, Zhifei 16 Fosdick, Roger L. 16 Tzavaras, Athanasios E. 16 Vazquez, Juan Luis 15 Iooss, Gérard 15 LeFloch, Philippe Gerard 15 Mingione, Giuseppe 15 Müller, Stefan 15 Sather, Duane 15 Sternberg, Eli 14 Bowen, Ray M. 14 Bressan, Alberto 14 Dal Maso, Gianni 14 Fife, Paul C. 14 Knops, Robin J. 14 Müller, Ingo 14 Naghdi, Paul Mansour 14 Renardy, Michael 14 Terracini, Susanna 13 Brézis, Haïm 13 Chen, Peter J. 13 Edelen, Dominic Gardiner Bowling 13 Greenberg, James M. 13 Kristensen, Jan 13 Mielke, Alexander 13 Ortiz, Michael 13 Ryzhik, Lenya 13 Wei, Juncheng 13 Williams, William Orville 12 Bhattacharya, Kaushik 12 Giga, Yoshikazu 12 Kim, Inwon Christina 12 Lions, Pierre-Louis 12 Pipkin, Allen C. 12 Toland, John Francis 12 Truesdell, Clifford Ambrose III 12 Yu, Shih-Hsien 11 Ball, John MacLeod 11 Figalli, Alessio 11 Hayes, Michael Alphonsus 11 Huang, Feimin 11 Liu, Tai-Ping 11 Perthame, Benoît 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 Braides, Andrea 10 Chen, Xinfu 10 Constantin, Adrian 10 Dafermos, Constantine 10 Dong, Hongjie 10 Duffin, Richard James 10 Evans, Lawrence Craig 10 Freistühler, Heinrich 10 Frid, Hermano 10 Gloria, Antoine 10 Iwaniec, Tadeusz 10 Jang, Juhi 10 Lin, Fang Hua 10 Morini, Massimiliano ...and 3,967 more Authors all top 5 Fields 2,511 Partial differential equations (35-XX) 1,370 Fluid mechanics (76-XX) 945 Mechanics of deformable solids (74-XX) 419 Calculus of variations and optimal control; optimization (49-XX) 393 Statistical mechanics, structure of matter (82-XX) 193 Mechanics of particles and systems (70-XX) 155 Ordinary differential equations (34-XX) 148 Classical thermodynamics, heat transfer (80-XX) 140 Differential geometry (53-XX) 135 Dynamical systems and ergodic theory (37-XX) 118 Operator theory (47-XX) 117 Optics, electromagnetic theory (78-XX) 104 Global analysis, analysis on manifolds (58-XX) 90 Probability theory and stochastic processes (60-XX) 86 Quantum theory (81-XX) 80 Integral equations (45-XX) 67 Functional analysis (46-XX) 66 Biology and other natural sciences (92-XX) 64 Numerical analysis (65-XX) 59 Real functions (26-XX) 46 Geophysics (86-XX) 45 Functions of a complex variable (30-XX) 42 Relativity and gravitational theory (83-XX) 40 Measure and integration (28-XX) 40 Potential theory (31-XX) 39 Astronomy and astrophysics (85-XX) 37 Systems theory; control (93-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 17 Operations research, mathematical programming (90-XX) 16 Special functions (33-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Approximations and expansions (41-XX) 12 Group theory and generalizations (20-XX) 12 Convex and discrete geometry (52-XX) 9 Topological groups, Lie groups (22-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Integral transforms, operational calculus (44-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 History and biography (01-XX) 7 Difference and functional equations (39-XX) 7 General topology (54-XX) 6 General and overarching topics; collections (00-XX) 6 Manifolds and cell complexes (57-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-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 Algebraic geometry (14-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 4,736 Publications have been cited 139,357 times in 76,400 Documents Cited by ▼ Year ▼ Nonlinear scalar field equations. I: Existence of a ground state. Zbl 0533.35029 Berestycki, Henri; Lions, Pierre-Louis 1,495 1983 Micro-structure in linear elasticity. Zbl 0119.40302 Mindlin, R. D. 1,097 1964 Convexity conditions and existence theorems in nonlinear elasticity. Zbl 0368.73040 Ball, John M. 1,084 1977 Elastic materials with couple-stresses. Zbl 0112.16805 Toupin, R. A. 837 1962 Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\). Zbl 0676.35032 Kwong, Man Kam 804 1989 A continuum theory of elastic material surfaces. Zbl 0326.73001 Gurtin, Morton E.; Murdoch, A. Ian 740 1975 A symmetry problem in potential theory. Zbl 0222.31007 Serrin, James 731 1971 On the Navier-Stokes initial value problem. I. Zbl 0126.42301 Fujita, H.; Kato, Tosio 689 1964 The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010 Constantin, Adrian; Lannes, David 644 2009 Effects of couple-stresses in linear elasticity. Zbl 0112.38906 Mindlin, R. D.; Tierstein, H. F. 643 1962 Dissipative dynamical systems. I: General theory. Zbl 0252.93002 Willems, Jan C. 624 1972 The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035 Fife, Paul C.; McLeod, J. B. 607 1977 The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802 Coleman, Bernard D.; Noll, Walter 598 1963 A general theory of heat conduction with finite wave speeds. Zbl 0164.12901 Gurtin, M. E.; Pipkin, A. C. 567 1968 Asymptotic stability in viscoelasticity. Zbl 0214.24503 Dafermos, C. M. 566 1970 Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013 Bressan, Alberto; Constantin, Adrian 558 2007 On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302 Serrin, James 519 1962 Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044 Crandall, Michael G.; Rabinowitz, Paul H. 465 1973 Fine phase mixtures as minimizers of energy. Zbl 0629.49020 Ball, J. M.; James, R. D. 464 1987 Theories of elasticity with couple-stress. Zbl 0131.22001 Toupin, R. A. 460 1964 The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056 Kato, Tosio 452 1975 Regularity results for stationary electro-rheological fluids. Zbl 1038.76058 Acerbi, Emilio; Mingione, Giuseppe 449 2002 The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004 Modica, Luciano 445 1987 Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032 Marcellini, Paolo 412 1989 Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046 Berestycki, Henri; Lions, Pierre-Louis 411 1983 Inéquations en thermoélasticité et magnétohydrodynamique. Zbl 0264.73027 Duvaut, G.; Lions, J. L. 407 1972 Regularity results for a class of functionals with non-standard growth. Zbl 0984.49020 Acerbi, Emilio; Mingione, Giuseppe 399 2001 Regularity for double phase variational problems. Zbl 1322.49065 Colombo, Maria; Mingione, Giuseppe 392 2015 Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260 Ma, Li; Zhao, Lin 392 2010 Some constitutive equations for liquid crystals. Zbl 0159.57101 Leslie, F. M. 376 1968 Quasilinear Dirichlet problems driven by positive sources. Zbl 0266.34021 Joseph, D. D.; Lundgren, T. S. 366 1973 Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Zbl 0090.17601 Kröner, Ekkehart 360 1960 Sur l’approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Zbl 0207.16904 Témam, R. 347 1969 \(L^ 2\) decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031 Schonbek, Maria Elena 340 1985 An optimal Poincaré inequality for convex domains. Zbl 0099.08402 Payne, L. E.; Weinberger, H. F. 332 1960 Bounded minimisers of double phase variational integrals. Zbl 1325.49042 Colombo, Maria; Mingione, Giuseppe 332 2015 Traveling waves in a convolution model for phase transitions. Zbl 0889.45012 Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng 332 1997 An analysis of a phase field model of a free boundary. Zbl 0608.35080 Caginalp, Gunduz 332 1986 Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\). Zbl 0278.35052 Levine, Howard A. 329 1973 Non-linear age-dependent population dynamics. Zbl 0286.92005 Gurtin, Morton E.; MacCamy, Richard C. 328 1974 Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042 Ambrosetti, A.; Badiale, M.; Cingolani, S. 318 1997 Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220 Winkler, Michael 317 2014 A nonlinear theory of elastic materials with voids. Zbl 0444.73018 Nunziato, Jace W.; Cowin, Stephen C. 316 1979 Semicontinuity problems in the calculus of variations. Zbl 0565.49010 Acerbi, Emilio; Fusco, Nicola 312 1984 On global solution of nonlinear hyperbolic equations. Zbl 0159.39102 Sattinger, D. H. 283 1968 On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016 Iwaniec, Tadeusz; Sbordone, Carlo 281 1992 A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303 Noll, Walter 277 1958 Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601 Browder, F. E. 275 1967 On the Cahn-Hilliard equation. Zbl 0624.35048 Elliott, Charles M.; Zheng, Songmu 269 1986 Estimates of harmonic measure. Zbl 0406.28009 Dahlberg, Björn E. J. 264 1977 An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403 Coleman, Bernard D.; Noll, Walter 263 1960 On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138 De Lellis, Camillo; Székelyhidi, László jun. 262 2010 On the thermomechanics of interstitial working. Zbl 0582.73004 Dunn, J. E.; Serrin, J. 255 1985 Convergence of approximate solutions to conservation laws. Zbl 0519.35054 DiPerna, R. J. 254 1983 Dissipative dynamical systems. II: Linear systems with quadratic supply rates. Zbl 0252.93003 Willems, Jan C. 253 1972 Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001 Dunn, J. Ernest; Fosdick, Roger L. 250 1974 A continuum theory for granular materials. Zbl 0243.76005 Goodman, M. A.; Cowin, S. C. 245 1972 Measure-valued solutions to conservation laws. Zbl 0616.35055 Diperna, Ronald J. 241 1985 Multipolar continuum mechanics. Zbl 0133.17604 Green, A. E.; Rivlin, R. S. 238 1964 A general theory of an elastic-plastic continuum. Zbl 0133.17701 Green, A. E.; Naghdi, P. M. 236 1965 A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039 Friesecke, Gero; James, Richard D.; Müller, Stefan 228 2006 Liquid crystal flows in two dimensions. Zbl 1346.76011 Lin, Fanghua; Lin, Junyu; Wang, Changyou 227 2010 Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Zbl 1198.35197 Hu, Xianpeng; Wang, Dehua 226 2010 Exact controllability theorems for linear parabolic equations in one space dimension. Zbl 0231.93003 Fattorini, H. O.; Russell, D. L. 223 1971 Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057 Crandall, Michael G.; Rabinowitz, Paul H. 222 1975 Hydrostatic theory of liquid crystals. Zbl 0105.23403 Ericksen, J. L. 222 1962 Entropy solutions for nonlinear degenerate problems. Zbl 0935.35056 Carrillo, José 218 1999 General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004 Ciarlet, P. G.; Raviart, P. A. 218 1972 Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Zbl 0789.35008 Jensen, Robert 217 1993 Certain non-steady flows of second-order fluids. Zbl 0139.20105 Ting, T. W. 217 1963 Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078 Giga, Yoshikazu; Miyakawa, Tetsuro 217 1985 The second law of thermodynamics and stability. Zbl 0448.73004 Dafermos, C. M. 213 1979 Nonholonomic mechanical systems with symmetry. Zbl 0886.70014 Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M. 211 1996 On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029 Ding, Wei-Yue; Ni, Wei-Ming 209 1986 The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021 Sternberg, Peter 204 1988 On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Zbl 0912.45011 Villani, Cédric 204 1998 Standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1022.35064 Byeon, Jaeyoung; Wang, Zhi-Qiang 197 2002 A new proof of Moser’s parabolic Harnack inequality using the old ideas of Nash. Zbl 0652.35052 Fabes, E. B.; Stroock, D. W. 196 1986 Caractérisation de quelques espaces d’interpolation. Zbl 0187.05901 Grisvard, P. 193 1967 Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036 Benci, Vieri; Cerami, Giovanna 191 1987 Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001 Aronson, D. G.; Serrin, J. 191 1967 Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003 Liu, I-Shih 191 1972 The Pohozaev identity for the fractional Laplacian. Zbl 1361.35199 Ros-Oton, Xavier; Serra, Joaquim 190 2014 Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101 Vitillaro, Enzo 185 1999 Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105 Carrillo, José A.; McCann, Robert J.; Villani, Cédric 184 2006 Existence and concentration result for the Kirchhoff type equations with general nonlinearities. Zbl 1302.35356 Figueiredo, Giovany M.; Ikoma, Norihisa; Santos Júnior, João R. 182 2014 On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302 Kato, Tosio 181 1967 Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Zbl 0631.35058 Goodman, Jonathan 176 1986 Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035 Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia 175 2005 A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation. Zbl 0426.34019 Hastings, S. P.; McLeod, J. B. 173 1980 Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082 Slemrod, M. 172 1983 On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities. Zbl 1254.76158 Abels, Helmut 172 2009 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046 Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E. 171 1977 Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078 Byeon, Jaeyoung; Jeanjean, Louis 171 2007 Global solutions for incompressible viscoelastic fluids. Zbl 1138.76017 Lei, Zhen; Liu, Chun; Zhou, Yi 171 2008 Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107 Ambrosetti, A.; Malchiodi, A.; Secchi, S. 170 2001 Axioms and fundamental equations of image processing. Zbl 0788.68153 Alvarez, Luis; Guichard, Frédéric; Lions, Pierre-Louis; Morel, Jean- Michel 170 1993 Quasistatic crack growth in nonlinear elasticity. Zbl 1064.74150 Dal Maso, Gianni; Francfort, Gilles A.; Toader, Rodica 170 2005 Divergence-measure fields and hyperbolic conservation laws. Zbl 0942.35111 Chen, Gui-Qiang; Frid, Hermano 170 1999 A thermodynamic theory of mixtures of fluids. Zbl 0157.56703 Müller, I. 165 1968 Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation. Zbl 1529.35366 Bianchini, Roberta; Crin-Barat, Timothée; Paicu, Marius 2 2024 Mathematical foundations of the non-Hermitian skin effect. Zbl 1537.35046 Ammari, Habib; Barandun, Silvio; Cao, Jinghao; Davies, Bryn; Hiltunen, Erik Orvehed 2 2024 Stable singularity formation for the Keller-Segel system in three dimensions. Zbl 1532.35012 Glogić, Irfan; Schörkhuber, Birgit 1 2024 Traveling wave solutions to the one-phase Muskat problem: existence and stability. Zbl 1532.35387 Nguyen, Huy Q.; Tice, Ian 1 2024 Consistency of the flat flow solution to the volume preserving mean curvature flow. Zbl 07782710 Julin, Vesa; Niinikoski, Joonas 1 2024 The BPHZ theorem for regularity structures via the spectral gap inequality. Zbl 07804736 Hairer, Martin; Steele, Rhys 1 2024 Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow. Zbl 1532.49040 Hensel, Sebastian; Stinson, Kerrek 1 2024 Intermittency and lower dimensional dissipation in incompressible fluids. Zbl 1533.35252 De Rosa, Luigi; Isett, Philip 1 2024 The \(L^p\) Teichmüller theory: existence and regularity of critical points. Zbl 1535.30053 Martin, Gaven; Yao, Cong 1 2024 The existence of Meissner solutions to the full Ginzburg-Landau system in three dimensions. Zbl 1534.82025 Pan, Xingbin; Xiang, Xingfei 1 2024 Existence of optimal shapes in parabolic bilinear optimal control problems. Zbl 1534.35237 Mazari-Fouquer, Idriss 1 2024 Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy. Zbl 1537.74010 Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 1 2024 Higher order boundary Harnack principle via degenerate equations. Zbl 1537.35109 Terracini, Susanna; Tortone, Giorgio; Vita, Stefano 1 2024 Existence of homogeneous Euler flows of degree \(-\alpha \notin [-2, 0]\). Zbl 1536.35246 Abe, Ken 1 2024 Smooth transonic flows with nonzero vorticity to a quasi two dimensional steady Euler flow model. Zbl 07855936 Weng, Shangkun; Xin, Zhouping 1 2024 Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate. Zbl 1510.35178 Colombo, Maria; Crippa, Gianluca; Marconi, Elio; Spinolo, Laura V. 11 2023 Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise. Zbl 1514.35316 Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan 10 2023 On 1d quadratic Klein-Gordon equations with a potential and symmetries. Zbl 1508.35120 Germain, Pierre; Pusateri, Fabio; Zhang, Katherine Zhiyuan 9 2023 Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods. Zbl 1510.35048 Akagi, Goro 8 2023 On explicit \(L^2\)-convergence rate estimate for underdamped Langevin dynamics. Zbl 07754930 Cao, Yu; Lu, Jianfeng; Wang, Lihan 8 2023 Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. Zbl 1509.35042 Choi, Beomjun; McCann, Robert J.; Seis, Christian 7 2023 Geometric hydrodynamics in open problems. Zbl 1509.35198 Khesin, Boris; Misiołek, Gerard; Shnirelman, Alexander 6 2023 Stationary structures near the Kolmogorov and Poiseuille flows in the 2d Euler equations. Zbl 1509.35195 Coti Zelati, Michele; Elgindi, Tarek M.; Widmayer, Klaus 6 2023 Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity. Zbl 1521.74024 Barchiesi, Marco; Henao, Duvan; Mora-Corral, Carlos; Rodiac, Rémy 6 2023 On the uniqueness of Schwarzschild-de Sitter spacetime. Zbl 1520.83023 Borghini, Stefano; Chruściel, Piotr T.; Mazzieri, Lorenzo 5 2023 Unstable Stokes waves. Zbl 1521.35139 Hur, Vera Mikyoung; Yang, Zhao 5 2023 A priori bounds for the \(\Phi^4\) equation in the full sub-critical regime. Zbl 1516.60037 Chandra, Ajay; Moinat, Augustin; Weber, Hendrik 5 2023 Correlation energy of a weakly interacting Fermi gas with large interaction potential. Zbl 1530.81162 Benedikter, Niels; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert 5 2023 A comparison estimate for singular \(p\)-Laplace equations and its consequences. Zbl 1514.35242 Nguyen, Quoc-Hung; Phuc, Nguyen Cong 5 2023 Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains. Zbl 1508.35033 Bella, Peter; Oschmann, Florian 4 2023 Surface concentration of transmission eigenfunctions. Zbl 1517.35141 Chow, Yat Tin; Deng, Youjun; Liu, Hongyu; Sunkula, Mahesh 4 2023 An intrinsically hydrodynamic approach to multidimensional QHD systems. Zbl 1510.35228 Antonelli, Paolo; Marcati, Pierangelo; Zheng, Hao 4 2023 Obstructions to integrability of nearly integrable dynamical systems near regular level sets. Zbl 1525.37056 Motonaga, Shoya; Yagasaki, Kazuyuki 4 2023 The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles. Zbl 1517.60076 Cornalba, Federico; Fischer, Julian 4 2023 Regularity for double phase problems at nearly linear growth. Zbl 1525.35089 De Filippis, Cristiana; Mingione, Giuseppe 4 2023 On uniqueness of multi-bubble blow-up solutions and multi-solitons to \(L^2\)-critical nonlinear Schrödinger equations. Zbl 1505.35324 Cao, Daomin; Su, Yiming; Zhang, Deng 3 2023 Nonlinear and linearized models in thermoviscoelasticity. Zbl 1512.74017 Badal, Rufat; Friedrich, Manuel; Kružík, Martin 3 2023 Model-free and prior-free data-driven inference in mechanics. Zbl 1507.74550 Conti, Sergio; Hoffmann, Franca; Ortiz, Michael 3 2023 Alexandrov’s theorem for anisotropic capillary hypersurfaces in the half-space. Zbl 1514.53104 Jia, Xiaohan; Wang, Guofang; Xia, Chao; Zhang, Xuwen 3 2023 Small scale formations in the incompressible porous media equation. Zbl 1504.35336 Kiselev, Alexander; Yao, Yao 3 2023 On the Canham problem: bending energy minimizers for any genus and isoperimetric ratio. Zbl 1526.53006 Kusner, Robert; McGrath, Peter 3 2023 Weyl’s law for the Steklov problem on surfaces with rough boundary. Zbl 1521.35124 Karpukhin, Mikhail; Lagacé, Jean; Polterovich, Iosif 3 2023 A sharp gradient estimate and \(W^{2, q}\) regularity for the prescribed mean curvature equation in the Lorentz-Minkowski space. Zbl 07754927 Bonheure, Denis; Iacopetti, Alessandro 3 2023 Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts. Zbl 1536.35176 An, Jing; Henderson, Christopher; Ryzhik, Lenya 3 2023 Benjamin-Feir instability of Stokes waves in finite depth. Zbl 1525.76049 Berti, Massimiliano; Maspero, Alberto; Ventura, Paolo 3 2023 On the linearized system of equations for the condensate-normal fluid interaction near the critical temperature. Zbl 07754932 Escobedo, M. 3 2023 Asymptotic simplification of aggregation-diffusion equations towards the heat kernel. Zbl 1509.35041 Carrillo, José A.; Gómez-Castro, David; Yao, Yao; Zeng, Chongchun 2 2023 On regular solutions for three-dimensional full compressible Navier-Stokes equations with degenerate viscosities and far field vacuum. Zbl 1505.35286 Duan, Qin; Xin, Zhouping; Zhu, Shengguo 2 2023 On the regularity of non-scattering anisotropic inhomogeneities. Zbl 1512.35164 Cakoni, Fioralba; Vogelius, Michael S.; Xiao, Jingni 2 2023 Volumetric theory of intermittency in fully developed turbulence. Zbl 1512.76040 Cheskidov, Alexey; Shvydkoy, Roman 2 2023 Regularity of solutions to the Muskat equation. Zbl 1512.35486 Shi, Jia 2 2023 Recovery of nonlinear terms for reaction diffusion equations from boundary measurements. Zbl 1506.35277 Kian, Yavar; Uhlmann, Gunther 2 2023 Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation. Zbl 1525.35072 Krieger, Joachim; Lührmann, Jonas; Staffilani, Gigliola 2 2023 Regularity properties of passive scalars with rough divergence-free drifts. Zbl 1521.35100 Albritton, Dallas; Dong, Hongjie 2 2023 Gradient higher integrability for degenerate parabolic double-phase systems. Zbl 1521.35062 Kim, Wontae; Kinnunen, Juha; Moring, Kristian 2 2023 Nonlinear stability and existence of two-dimensional compressible current-vortex sheets. Zbl 1537.76039 Morando, Alessandro; Secchi, Paolo; Trebeschi, Paola; Yuan, Difan 2 2023 Gaussian fluctuations for interacting particle systems with singular kernels. Zbl 1524.60271 Wang, Zhenfu; Zhao, Xianliang; Zhu, Rongchan 2 2023 Weak limit of homeomorphisms in \(W^{1, n-1}\) and (INV) condition. Zbl 1526.74008 Doležalová, Anna; Hencl, Stanislav; Malý, Jan 2 2023 The Rayleigh-Bénard problem for compressible fluid flows. Zbl 1510.35233 Feireisl, Eduard; Świerczewska-Gwiazda, Agnieszka 1 2023 Arnold tongues in area-preserving maps. Zbl 1512.70031 Levi, Mark; Zhou, Jing 1 2023 A data-driven approach to viscous fluid mechanics: the stationary case. Zbl 1520.76072 Lienstromberg, Christina; Schiffer, Stefan; Schubert, Richard 1 2023 The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes. Zbl 1523.83002 Holzegel, Gustav; Shao, Arick 1 2023 Illposedness of \(C^2\) vortex patches. Zbl 1516.35316 Kiselev, Alexander; Luo, Xiaoyutao 1 2023 Transverse domain walls in thin ferromagnetic strips. Zbl 1517.82045 Morini, M.; Muratov, C. B.; Novaga, M.; Slastikov, V. V. 1 2023 Maximization of Neumann eigenvalues. Zbl 1517.35144 Bucur, Dorin; Martinet, Eloi; Oudet, Edouard 1 2023 Nematic liquid crystal flow with partially free boundary. Zbl 1509.35231 Lin, Fanghua; Sire, Yannick; Wei, Juncheng; Zhou, Yifu 1 2023 Cauchy problem for incompressible neo-Hookean materials. Zbl 1509.35193 Andersson, Lars; Kapitanski, Lev 1 2023 The existence of a weak solution to volume preserving mean curvature flow in higher dimensions. Zbl 07687726 Takasao, Keisuke 1 2023 Which measure-valued solutions of the monoatomic gas equations are generated by weak solutions? Zbl 1521.35137 Gallenmüller, Dennis; Wiedemann, Emil 1 2023 Controllability and ergodicity of three dimensional primitive equations driven by a finite-dimensional force. Zbl 1504.35565 Boulvard, Pierre-Marie; Gao, Peng; Nersesyan, Vahagn 1 2023 Higher-order boundary layers and regularity for Stokes systems over rough boundaries. Zbl 1518.35180 Higaki, Mitsuo; Zhuge, Jinping 1 2023 Quantitative nonlinear homogenization: control of oscillations. Zbl 1522.35037 Clozeau, Nicolas; Gloria, Antoine 1 2023 Highest cusped waves for the Burgers-Hilbert equation. Zbl 1521.76055 Dahne, Joel; Gómez-Serrano, Javier 1 2023 Dynamics of density patches in infinite Prandtl number convection. 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Zbl 1489.35185 Isett, Philip 10 2022 ...and 1763 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 43,680 Authors 183 Wei, Juncheng 156 Feireisl, Eduard 146 Carrillo de la Plata, José Antonio 138 Rădulescu, Vicenţiu D. 132 Quintanilla de Latorre, Ramón 122 Yang, Tong 121 Yin, Zhaoyang 117 Rajagopal, Kumbakonam Ramamani 116 Papageorgiou, Nikolaos S. 116 Vazquez, Juan Luis 112 Guo, Boling 111 Valdinoci, Enrico 107 Alves, Claudianor Oliveira 106 Winkler, Michael 105 Tan, Zhong 101 Chen, Gui-Qiang G. 101 Tang, Xianhua 101 Zumbrun, Kevin R. 99 Gurtin, Morton Edward 99 Rossi, Julio Daniel 99 Xin, Zhouping 99 Zhang, Zhifei 97 Ha, Seung-Yeal 97 Neff, Patrizio 96 Ammari, Habib 94 Yao, Zhengan 91 Byun, Sun-Sig 91 Masmoudi, Nader 91 Wu, Jiahong 90 Conti, Sergio 90 Nečasová, Šárka 88 Fan, Jishan 87 Zhu, Changjiang 84 Li, Wan-Tong 84 Marsden, Jerrold Eldon 84 Zou, Wenming 82 Novaga, Matteo 80 Messaoudi, Salim A. 80 Wang, Shu 80 Zhang, Ping 79 Wang, Zhi-Qiang 77 Friedman, Avner 77 Mielke, Alexander 75 Dong, Hongjie 75 Galdi, Giovanni Paolo 74 Fonseca, Irene 74 Mingione, Giuseppe 73 Gazzola, Filippo 73 Giga, Yoshikazu 73 Zhao, Huijiang 72 Lions, Pierre-Louis 72 Zuazua, Enrique 71 Straughan, Brian 71 Tang, Chun-Lei 70 Cao, Daomin 70 Figalli, Alessio 69 LeFloch, Philippe Gerard 69 Titi, Edriss Saleh 68 Kukavica, Igor 68 Liu, Jianguo 68 Véron, Laurent 68 Wang, Zhicheng 67 Caffarelli, Luis Ángel 67 Ciarlet, Philippe Gaston 67 Coleman, Bernard David 67 Steinmann, Paul 66 Ortiz, Michael 65 Hayat, Tasawar 65 Roubíček, Tomáš 65 Stefanelli, Ulisse 65 Temam, Roger Meyer 65 Zhang, Ting 64 Braides, Andrea 64 Guo, Yan 63 Mu, Chunlai 63 Müller, Stefan 63 Nazarov, Sergeĭ Aleksandrovich 63 Squassina, Marco 62 Hamel, François 62 Iesan, Dorin 62 Perthame, Benoît 61 Dal Maso, Gianni 61 Del Pino, Manuel A. 61 Dolbeault, Jean 61 Jiang, Song 61 Li, Fucai 61 Wang, Dehua 61 Zhong, Xin 60 Do Ó, João M. Bezerra 60 Fabrizio, Mauro 60 Fusco, Nicola 60 Huang, Feimin 60 Lasiecka, Irena 60 Li, Yeping 60 Miranville, Alain M. 60 Novotný, Antonín 60 Toscani, Giuseppe 59 Dipierro, Serena 59 Lin, Chang-Shou 59 Muñoz Rivera, Jaime Edilberto ...and 43,580 more Authors all top 5 Cited in 1,076 Journals 4,022 Journal of Differential Equations 3,295 Archive for Rational Mechanics and Analysis 3,149 Journal of Mathematical Analysis and Applications 2,016 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,398 Calculus of Variations and Partial Differential Equations 1,177 ZAMP. 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English Series 149 Analysis & PDE 147 SIAM Journal on Control and Optimization 146 Inventiones Mathematicae ...and 976 more Journals all top 5 Cited in 63 Fields 45,753 Partial differential equations (35-XX) 17,058 Fluid mechanics (76-XX) 12,946 Mechanics of deformable solids (74-XX) 5,981 Numerical analysis (65-XX) 5,888 Calculus of variations and optimal control; optimization (49-XX) 4,276 Statistical mechanics, structure of matter (82-XX) 3,934 Ordinary differential equations (34-XX) 3,604 Operator theory (47-XX) 3,507 Dynamical systems and ergodic theory (37-XX) 3,328 Biology and other natural sciences (92-XX) 2,574 Probability theory and stochastic processes (60-XX) 2,465 Global analysis, analysis on manifolds (58-XX) 2,410 Systems theory; control (93-XX) 2,384 Differential geometry (53-XX) 2,127 Functional analysis (46-XX) 1,863 Mechanics of particles and systems (70-XX) 1,802 Classical thermodynamics, heat transfer (80-XX) 1,643 Integral equations (45-XX) 1,463 Optics, electromagnetic theory (78-XX) 1,449 Quantum theory (81-XX) 1,403 Real functions (26-XX) 982 Functions of a complex variable (30-XX) 949 Harmonic analysis on Euclidean spaces (42-XX) 894 Potential theory (31-XX) 705 Operations research, mathematical programming (90-XX) 658 Geophysics (86-XX) 556 Relativity and gravitational theory (83-XX) 538 Approximations and expansions (41-XX) 499 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 483 Measure and integration (28-XX) 460 Linear and multilinear algebra; matrix theory (15-XX) 433 Computer science (68-XX) 362 Information and communication theory, circuits (94-XX) 292 Convex and discrete geometry (52-XX) 273 Difference and functional equations (39-XX) 244 Astronomy and astrophysics (85-XX) 235 Special functions (33-XX) 217 Statistics (62-XX) 206 Several complex variables and analytic spaces (32-XX) 181 Combinatorics (05-XX) 162 General topology (54-XX) 156 Integral transforms, operational calculus (44-XX) 141 History and biography (01-XX) 138 Topological groups, Lie groups (22-XX) 126 Manifolds and cell complexes (57-XX) 109 General and overarching topics; collections (00-XX) 90 Abstract harmonic analysis (43-XX) 84 Algebraic topology (55-XX) 78 Associative rings and algebras (16-XX) 78 Geometry (51-XX) 72 Number theory (11-XX) 66 Algebraic geometry (14-XX) 63 Group theory and generalizations (20-XX) 51 Nonassociative rings and algebras (17-XX) 39 Mathematical logic and foundations (03-XX) 31 Commutative algebra (13-XX) 28 Sequences, series, summability (40-XX) 25 Category theory; homological algebra (18-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 16 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