## 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: 4,876 Publications (since 1957) References Indexed: 4,354 Publications with 103,000 References.
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### Latest Issues

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### 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 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 Antman, Stuart S. 17 Cohen, Harley 17 Marsden, Jerrold Eldon 17 Velázquez, Juan J. L. 16 Feireisl, Eduard 16 Fosdick, Roger L. 16 Guo, Yan 16 Masmoudi, Nader 16 Vazquez, Juan Luis 16 Yang, Tong 16 Zhang, Ping 16 Zhang, Zhifei 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 Renardy, Michael 13 Bressan, Alberto 13 Brézis, Haïm 13 Chen, Peter J. 13 Edelen, Dominic Gardiner Bowling 13 Ortiz, Michael 13 Terracini, Susanna 13 Williams, William O. 12 Bhattacharya, Kaushik 12 Giga, Yoshikazu 12 Kim, Inwon Christina 12 Lions, Pierre-Louis 12 Pipkin, Allen C. 12 Ryzhik, Lenya 12 Toland, John Francis 12 Truesdell, Clifford Ambrose III 12 Yu, Shih-Hsien 11 Ball, John MacLeod 11 Figalli, Alessio 11 Huang, Feimin 11 Kristensen, Jan 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 Wei, Juncheng 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 Perthame, Benoît 10 Rein, Gerhard 10 Shinbrot, Marvin 10 Zuazua, Enrique 9 Beirão da Veiga, Hugo 9 Bouchitté, Guy 9 Braides, Andrea 9 Cesari, Lamberto 9 Chen, Xinfu 9 Ciarlet, Philippe Gaston 9 Cicalese, Marco 9 Constantin, Peter ...and 3,760 more Authors
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### Fields

 2,363 Partial differential equations (35-XX) 1,299 Fluid mechanics (76-XX) 928 Mechanics of deformable solids (74-XX) 397 Calculus of variations and optimal control; optimization (49-XX) 370 Statistical mechanics, structure of matter (82-XX) 183 Mechanics of particles and systems (70-XX) 153 Ordinary differential equations (34-XX) 142 Classical thermodynamics, heat transfer (80-XX) 130 Dynamical systems and ergodic theory (37-XX) 120 Differential geometry (53-XX) 111 Operator theory (47-XX) 107 Optics, electromagnetic theory (78-XX) 97 Global analysis, analysis on manifolds (58-XX) 79 Probability theory and stochastic processes (60-XX) 78 Quantum theory (81-XX) 77 Integral equations (45-XX) 65 Functional analysis (46-XX) 62 Biology and other natural sciences (92-XX) 61 Numerical analysis (65-XX) 59 Real functions (26-XX) 46 Functions of a complex variable (30-XX) 41 Geophysics (86-XX) 39 Potential theory (31-XX) 37 Measure and integration (28-XX) 37 Astronomy and astrophysics (85-XX) 36 Relativity and gravitational theory (83-XX) 34 Systems theory; control (93-XX) 17 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) 13 Approximations and expansions (41-XX) 12 Group theory and generalizations (20-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 History and biography (01-XX) 7 General topology (54-XX) 6 General and overarching topics; collections (00-XX) 6 Several complex variables and analytic spaces (32-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)

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Elastic materials with couple-stresses. Zbl 0112.16805
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The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
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Dissipative dynamical systems. I: General theory. Zbl 0252.93002
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Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
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Effects of couple-stresses in linear elasticity. Zbl 0112.38906
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A general theory of heat conduction with finite wave speeds. Zbl 0164.12901
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Regularity results for stationary electro-rheological fluids. Zbl 1038.76058
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The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004
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The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
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Theories of elasticity with couple-stress. Zbl 0131.22001
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Regularity results for a class of functionals with non-standard growth. Zbl 0984.49020
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Inéquations en thermoélasticité et magnétohydrodynamique. Zbl 0264.73027
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Quasilinear Dirichlet problems driven by positive sources. Zbl 0266.34021
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Some constitutive equations for liquid crystals. Zbl 0159.57101
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Non-linear age-dependent population dynamics. Zbl 0286.92005
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1974
Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260
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An analysis of a phase field model of a free boundary. Zbl 0608.35080
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1986
Semicontinuity problems in the calculus of variations. Zbl 0565.49010
Acerbi, Emilio; Fusco, Nicola
1984
Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042
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Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046
Berestycki, Henri; Lions, Pierre-Louis
1983
Traveling waves in a convolution model for phase transitions. Zbl 0889.45012
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Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Zbl 0090.17601
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1960
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032
Marcellini, Paolo
1989
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.
1973
Sur l’approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Zbl 0207.16904
Témam, R.
1969
An optimal Poincaré inequality for convex domains. Zbl 0099.08402
Payne, L. E.; Weinberger, H. F.
1960
$$L^ 2$$ decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031
Schonbek, Maria Elena
1985
Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601
Browder, F. E.
1967
A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303
Noll, Walter
1958
Regularity for double phase variational problems. Zbl 1322.49065
Colombo, Maria; Mingione, Giuseppe
2015
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
1983
A nonlinear theory of elastic materials with voids. Zbl 0444.73018
Nunziato, Jace W.; Cowin, Stephen C.
1979
An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403
Coleman, Bernard D.; Noll, Walter
1960
On the Cahn-Hilliard equation. Zbl 0624.35048
Elliott, Charles M.; Zheng, Songmu
1986
Estimates of harmonic measure. Zbl 0406.28009
Dahlberg, Björn E. J.
1977
On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016
1992
On global solution of nonlinear hyperbolic equations. Zbl 0159.39102
Sattinger, D. H.
1968
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220
Winkler, Michael
2014
Bounded minimisers of double phase variational integrals. Zbl 1325.49042
Colombo, Maria; Mingione, Giuseppe
2015
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
1985
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057
Crandall, Michael G.; Rabinowitz, Paul H.
1975
Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001
Dunn, J. Ernest; Fosdick, Roger L.
1974
General Lagrange and Hermite interpolation in $$R^n$$ with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
1972
A general theory of an elastic-plastic continuum. Zbl 0133.17701
Green, A. E.; Naghdi, P. M.
1965
On the thermomechanics of interstitial working. Zbl 0582.73004
Dunn, J. E.; Serrin, J.
1985
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
2006
Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Zbl 0789.35008
Jensen, Robert
1993
A continuum theory for granular materials. Zbl 0243.76005
Goodman, M. A.; Cowin, S. C.
1972
Liquid crystal flows in two dimensions. Zbl 1346.76011
Lin, Fanghua; Lin, Junyu; Wang, Changyou
2010
Entropy solutions for nonlinear degenerate problems. Zbl 0935.35056
Carrillo, José
1999
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
1996
Multipolar continuum mechanics. Zbl 0133.17604
Green, A. E.; Rivlin, R. S.
1964
Caractérisation de quelques espaces d’interpolation. Zbl 0187.05901
Grisvard, P.
1967
Exact controllability theorems for linear parabolic equations in one space dimension. Zbl 0231.93003
Fattorini, H. O.; Russell, D. L.
1971
Solutions in $$L_ r$$ of the Navier-Stokes initial value problem. Zbl 0587.35078
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1985
Hydrostatic theory of liquid crystals. Zbl 0105.23403
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1962
On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029
Ding, Wei-Yue; Ni, Wei-Ming
1986
Dissipative dynamical systems. II: Linear systems with quadratic supply rates. Zbl 0252.93003
Willems, Jan C.
1972
Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Zbl 1198.35197
Hu, Xianpeng; Wang, Dehua
2010
On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138
De Lellis, Camillo; Székelyhidi, László jun.
2010
A new proof of Moser’s parabolic Harnack inequality using the old ideas of Nash. Zbl 0652.35052
Fabes, E. B.; Stroock, D. W.
1986
The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021
Sternberg, Peter
1988
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Zbl 0912.45011
Villani, Cédric
1998
Standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1022.35064
Byeon, Jaeyoung; Wang, Zhi-Qiang
2002
The second law of thermodynamics and stability. Zbl 0448.73004
Dafermos, C. M.
1979
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
Aronson, D. G.; Serrin, J.
1967
Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036
Benci, Vieri; Cerami, Giovanna
1987
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
1967
Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082
Slemrod, M.
1983
Certain non-steady flows of second-order fluids. Zbl 0139.20105
Ting, T. W.
1963
Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003
Liu, I-Shih
1972
Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105
Carrillo, José A.; McCann, Robert J.; Villani, Cédric
2006
Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101
Vitillaro, Enzo
1999
Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Zbl 0631.35058
Goodman, Jonathan
1986
Existence and stability of solutions of a delay-differential system. Zbl 0105.30401
Driver, Rodney D.
1962
Quasistatic crack growth in nonlinear elasticity. Zbl 1064.74150
Dal Maso, Gianni; Francfort, Gilles A.; Toader, Rodica
2005
The Pohozaev identity for the fractional Laplacian. Zbl 1361.35199
Ros-Oton, Xavier; Serra, Joaquim
2014
Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024
Brézis, Haïm; Coron, Jean-Michel
1985
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.
1977
Integral estimates for null Lagrangians. Zbl 0793.58002
1993
Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096
Levine, Howard A.; Serrin, James
1997
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
2001
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.
1980
Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078
Byeon, Jaeyoung; Jeanjean, Louis
2007
Uniqueness of the ground state solution for $$\Delta u - u + u^3=0$$ and a variational characterization of other solutions. Zbl 0249.35029
Coffman, Charles V.
1972
Axioms and fundamental equations of image processing. Zbl 0788.68153
Alvarez, Luis; Guichard, Frédéric; Lions, Pierre-Louis; Morel, Jean- Michel
1993
Existence theorem for a minimum problem with free discontinuity set. Zbl 0682.49002
De Giorgi, E.; Carriero, M.; Leaci, A.
1989
Minkowski inequalities via nonlinear potential theory. Zbl 07505278
Agostiniani, Virginia; Fogagnolo, Mattia; Mazzieri, Lorenzo
2022
Global Schauder estimates for the $$p$$-Laplace system. Zbl 1481.35235
Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S.
2022
Wave phenomena to the three-dimensional fluid-particle model. Zbl 07463777
Li, Hai-Liang; Wang, Teng; Wang, Yi
2022
Riemann’s non-differentiable function and the binormal curvature flow. Zbl 07511060
Banica, Valeria; Vega, Luis
2022
Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics. Zbl 1490.35292
Zhang, Junyan
2022
Nonuniqueness and existence of continuous, globally dissipative Euler flows. Zbl 1489.35185
Isett, Philip
2022
Infinite-dimensional inverse problems with finite measurements. Zbl 1481.35390
Alberti, Giovanni S.; Santacesaria, Matteo
2022
Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2022
On the energy scaling behaviour of a singularly perturbed Tartar square. Zbl 1480.49002
Rüland, Angkana; Tribuzio, Antonio
2022
Homogenization of ferromagnetic energies on Poisson random sets in the plane. Zbl 1485.49019
Braides, Andrea; Piatnitski, Andrey
2022
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches. Zbl 1481.35148
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco; De Luca, Lucia; Piatnitski, Andrey
2022
On the existence of linearly oscillating galaxies. Zbl 07463770
Hadžić, Mahir; Rein, Gerhard; Straub, Christopher
2022
On the effect of rotation on the life-span of analytic solutions to the $$3D$$ Inviscid primitive equations. Zbl 07463772
Ghoul, Tej Eddine; Ibrahim, Slim; Lin, Quyuan; Titi, Edriss S.
2022
Smooth controllability of the Navier-Stokes equation with Navier conditions: application to Lagrangian controllability. Zbl 07463775
Liao, Jiajiang; Sueur, Franck; Zhang, Ping
2022
Existence and asymptotic behavior of large axisymmetric solutions for steady Navier-Stokes system in a pipe. Zbl 07488595
Wang, Yun; Xie, Chunjing
2022
Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in $$L^\infty$$. Zbl 07488596
Rosenzweig, Matthew
2022
Carleson measure estimates for the Green function. Zbl 1490.35135
David, Guy; Li, Linhan; Mayboroda, Svitlana
2022
The Bernstein technique for integro-differential equations. Zbl 1491.35077
Cabré, Xavier; Dipierro, Serena; Valdinoci, Enrico
2022
The blow-up rate for a non-scaling invariant semilinear heat equation. Zbl 1486.35074
Hamza, Mohamed Ali; Zaag, Hatem
2022
First integrals and symmetries of nonholonomic systems. Zbl 07511057
Balseiro, Paula; Sansonetto, Nicola
2022
On uniformly rotating binary stars and galaxies. Zbl 07511059
Jang, Juhi; Seok, Jinmyoung
2022
From graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data clouds. Zbl 07525964
García Trillos, Nicolás; Murray, Ryan; Thorpe, Matthew
2022
Stability of Lamb dipoles. Zbl 07525969
Abe, Ken; Choi, Kyudong
2022
Regularity of stationary Boltzmann equation in convex domains. Zbl 1489.35177
Chen, Hongxu; Kim, Chanwoo
2022
Complete entropic inequalities for quantum Markov chains. Zbl 07549420
Gao, Li; Rouzé, Cambyse
2022
Global existence of strong and weak solutions to 2D compressible Navier-Stokes system in bounded domains with large data and vacuum. Zbl 07549421
Fan, Xinyu; Li, Jiaxu; Li, Jing
2022
Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints. Zbl 07549422
Guerra, André; Raiță, Bogdan
2022
Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands. Zbl 07549426
Guerra, André; Kristensen, Jan
2022
Local well-posedness of free-boundary incompressible elastodynamics with surface tension via vanishing viscosity limit. Zbl 07571554
Gu, Xumin; Lei, Zhen
2022
Lipschitz bounds and nonautonomous integrals. Zbl 1483.49050
De Filippis, Cristiana; Mingione, Giuseppe
2021
Bounded solutions of ideal MHD with compact support in space-time. Zbl 1462.76208
Faraco, Daniel; Lindberg, Sauli; Székelyhidi, László jun.
2021
Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions. Zbl 1456.76134
Duerinckx, Mitia; Gloria, Antoine
2021
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Zbl 1467.35271
Brué, Elia; Colombo, Maria; De Lellis, Camillo
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 1469.76096
Zeng, Huihui
2021
Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics. Zbl 1458.35356
Trakhinin, Yuri; Wang, Tao
2021
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375
Ignat, R.; Jerrard, R. L.
2021
Continued gravitational collapse for Newtonian stars. Zbl 07298829
Guo, Yan; Hadžić, Mahir; Jang, Juhi
2021
Nonlinear hyperbolic waves in relativistic gases of massive particles with Synge energy. Zbl 1456.76164
Ruggeri, Tommaso; Xiao, Qinghua; Zhao, Huijiang
2021
Traveling quasi-periodic water waves with constant vorticity. Zbl 1462.35262
Berti, Massimiliano; Franzoi, Laura; Maspero, Alberto
2021
Anticipation breeds alignment. Zbl 1478.37009
2021
Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit. Zbl 07340104
Esposito, Antonio; Patacchini, Francesco Saverio; Schlichting, André; Slepčev, Dejan
2021
Nernst-Planck-Navier-Stokes systems far from equilibrium. Zbl 1471.35230
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
2021
Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms. Zbl 1456.76139
Davoli, Elisa; Scarpa, Luca; Trussardi, Lara
2021
Crystallization to the square lattice for a two-body potential. Zbl 1465.74008
Bétermin, Laurent; De Luca, Lucia; Petrache, Mircea
2021
On the Serrin-type condition on one velocity component for the Navier-Stokes equations. Zbl 1472.35268
Chae, D.; Wolf, J.
2021
Global existence and the decay of solutions to the Prandtl system with small analytic data. Zbl 1472.35307
Paicu, Marius; Zhang, Ping
2021
Local well-posedness of strong solutions to the three-dimensional compressible primitive equations. Zbl 1472.35393
Liu, Xin; Titi, Edriss S.
2021
Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials. Zbl 1478.60215
Baudoin, Fabrice; Gordina, Maria; Herzog, David P.
2021
A new approach to the Rayleigh-Taylor instability. Zbl 1479.35643
Gebhard, Björn; Kolumbán, József J.; Székelyhidi, László Jr.
2021
Asymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matter. Zbl 1471.83003
Bigorgne, Léo; Fajman, David; Joudioux, Jérémie; Smulevici, Jacques; Thaller, Maximilian
2021
Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems. Zbl 1471.35024
Fischer, Julian; Neukamm, Stefan
2021
A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions. Zbl 1456.35210
Bernardin, C.; Gonçalves, P.; Jiménez-Oviedo, B.
2021
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
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 1466.78007
Bernand-Mantel, Anne; Muratov, Cyrill B.; Simon, Theresa M.
2021
Weak solutions to the Muskat problem with surface tension via optimal transport. Zbl 1460.65114
Jacobs, Matt; Kim, Inwon; Mészáros, Alpár R.
2021
Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime. Zbl 1456.82909
Dipasquale, Federico; Millot, Vincent; Pisante, Adriano
2021
From Steklov to Neumann via homogenisation. Zbl 1458.35040
Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean
2021
Partially regular weak solutions of the Navier-Stokes equations in $$\mathbb{R}^4 \times [0,\infty[$$. Zbl 07326817
Wu, Bian
2021
Global well-posedness and exponential stability of 3D Navier-Stokes equations with density-dependent viscosity and vacuum in unbounded domains. Zbl 1462.35243
He, Cheng; Li, Jing; Lü, Boqiang
2021
Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation. Zbl 1464.35028
Côte, Raphaël; Martel, Yvan; Yuan, Xu
2021
Hard spheres dynamics: weak vs strong collisions. Zbl 1476.70060
Serre, Denis
2021
Regularity for $$C^{1, \alpha}$$ interface transmission problems. Zbl 1467.35169
Caffarelli, Luis Ángel; Soria-Carro, María; Stinga, Pablo Raúl
2021
Free boundary regularity for almost every solution to the Signorini problem. Zbl 07331727
Fernández-Real, Xavier; Ros-Oton, Xavier
2021
Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035
Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd
2021
On the free surface motion of highly subsonic heat-conducting inviscid flows. Zbl 1464.76047
Luo, Tao; Zeng, Huihui
2021
On the problem of maximal $$L^q$$-regularity for viscous Hamilton-Jacobi equations. Zbl 1467.35155
Cirant, Marco; Goffi, Alessandro
2021
The relativistic quantum Boltzmann equation near equilibrium. Zbl 1470.35250
Bae, Gi-Chan; Jang, Jin Woo; Yun, Seok-Bae
2021
Spectrum analysis for the Vlasov-Poisson-Boltzmann system. Zbl 1472.35386
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
2021
Nonexistence of subcritical solitary waves. Zbl 1467.76023
Kozlov, Vladimir; Lokharu, Evgeniy; Wheeler, Miles H.
2021
Topological singular set of vector-valued maps. II: $$\varGamma$$-convergence for Ginzburg-Landau type functionals. Zbl 1467.58004
Canevari, Giacomo; Orlandi, Giandomenico
2021
Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations. Zbl 1476.37083
Bernier, Joackim; Grébert, Benoît
2021
Mean-field limits: from particle descriptions to macroscopic equations. Zbl 1478.35170
Carrillo, José A.; Choi, Young-Pil
2021
Master equation for the finite state space planning problem. Zbl 1470.91010
Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis
2021
Partial regularity for fractional harmonic maps into spheres. Zbl 07456146
Millot, Vincent; Pegon, Marc; Schikorra, Armin
2021
The random heat equation in dimensions three and higher: the homogenization viewpoint. Zbl 1481.35031
Dunlap, Alexander; Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
2021
Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold. Zbl 1481.35150
Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean
2021
Characterization of minimizers of Aviles-Giga functionals in special domains. Zbl 07456156
Marconi, Elio
2021
Two-dimensional grain boundary networks: stochastic particle models and kinetic limits. Zbl 1455.74011
Klobusicky, Joe; Menon, Govind; Pego, Robert L.
2021
Structural stability of supersonic solutions to the Euler-Poisson system. Zbl 1456.35136
Bae, Myoungjean; Duan, Ben; Xiao, Jingjing; Xie, Chunjing
2021
Surface energy and boundary layers for a chain of atoms at low temperature. Zbl 1456.82666
Jansen, Sabine; König, Wolfgang; Schmidt, Bernd; Theil, Florian
2021
Symmetry and rigidity of minimal surfaces with Plateau-like singularities. Zbl 1473.49045
Bernstein, Jacob; Maggi, Francesco
2021
Curvature-driven wrinkling of thin elastic shells. Zbl 1460.74057
Tobasco, Ian
2021
Two-speed solutions to non-convex rate-independent systems. Zbl 1460.35016
Rindler, Filip; Schwarzacher, Sebastian; Velázquez, Juan J. L.
2021
3-d axisymmetric transonic shock solutions of the full Euler system in divergent nozzles. Zbl 1464.35096
Park, Yong
2021
Large deviations and entropy production in viscous fluid flows. Zbl 1467.93036
Jakšić, V.; Nersesyan, V.; Pillet, C.-A.; Shirikyan, A.
2021
Stability and instability of self-gravitating relativistic matter distributions. Zbl 1468.83023
Hadžić, Mahir; Lin, Zhiwu; Rein, Gerhard
2021
On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. Zbl 07364831
Delgadino, Matias G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A.
2021
Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation. Zbl 1467.76049
Jang, Jin Woo; Strain, Robert M.; Yun, Seok-Bae
2021
Hilbert expansion of the Boltzmann equation with specular boundary condition in half-space. Zbl 1468.76059
Guo, Yan; Huang, Feimin; Wang, Yong
2021
A posteriori error estimates for numerical solutions to hyperbolic conservation laws. Zbl 1472.35018
Bressan, Alberto; Chiri, Maria Teresa; Shen, Wen
2021
Long-time behaviour of time-dependent density functional theory. Zbl 1467.82112
Pusateri, Fabio; Sigal, Israel Michael
2021
A rigidity property for the Novikov equation and the asymptotic stability of peakons. Zbl 1468.35167
Chen, Robin Ming; Lian, Wei; Wang, Dehua; Xu, Runzhang
2021
Isodiametry, variance, and regular simplices from particle interactions. Zbl 1470.49038
Lim, Tongseok; McCann, Robert J.
2021
Convergence of viscosity solutions of generalized contact Hamilton-Jacobi equations. Zbl 1467.35100
Wang, Ya-Nan; Yan, Jun; Zhang, Jianlu
2021
Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy
2021
Rigidity of branching microstructures in shape memory alloys. Zbl 1468.74048
Simon, Theresa M.
2021
A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent. Zbl 1475.35332
Mederski, Jarosław; Szulkin, Andrzej
2021
Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise. Zbl 1471.35345
Dareiotis, Konstantinos; Gess, Benjamin; Gnann, Manuel V.; Grün, Günther
2021
Degenerate free discontinuity problems and spectral inequalities in quantitative form. Zbl 1472.49064
Bucur, Dorin; Giacomini, Alessandro; Nahon, Mickaël
2021
Improved quantitative regularity for the Navier-Stokes equations in a scale of critical spaces. Zbl 1477.35131
Palasek, Stan
2021
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### Cited by 36,391 Authors

 157 Wei, Juncheng 131 Feireisl, Eduard 116 Carrillo de la Plata, José Antonio 112 Yang, Tong 111 Vazquez, Juan Luis 104 Yin, Zhaoyang 103 Rădulescu, Vicenţiu D. 101 Quintanilla de Latorre, Ramón 98 Tan, Zhong 96 Gurtin, Morton Edward 96 Rajagopal, Kumbakonam Ramamani 96 Zumbrun, Kevin R. 93 Papageorgiou, Nikolaos S. 91 Rossi, Julio Daniel 89 Chen, Gui-Qiang G. 89 Xin, Zhouping 88 Alves, Claudianor Oliveira 87 Guo, Boling 87 Valdinoci, Enrico 83 Winkler, Michael 81 Marsden, Jerrold Eldon 80 Fan, Jishan 80 Tang, Xianhua 78 Ammari, Habib M. 78 Friedman, Avner 77 Li, Wan-Tong 77 Yao, Zhengan 77 Zhang, Zhifei 76 Conti, Sergio 74 Messaoudi, Salim A. 74 Wu, Jiahong 73 Ha, Seung-Yeal 73 Neff, Patrizio 73 Novaga, Matteo 73 Zhu, Changjiang 71 Nečasová, Šárka 70 Lions, Pierre-Louis 70 Masmoudi, Nader 70 Mielke, Alexander 69 Mingione, Giuseppe 69 Zou, Wenming 68 Byun, Sun-Sig 68 Giga, Yoshikazu 68 Zhao, Huijiang 65 Caffarelli, Luis Ángel 65 Coleman, Bernard David 65 Fonseca, Irene 65 Gazzola, Filippo 64 Galdi, Giovanni Paolo 64 Mu, Chunlai 63 Figalli, Alessio 63 Wang, Shu 62 LeFloch, Philippe Gerard 61 Ciarlet, Philippe Gaston 61 Dong, Hongjie 61 Müller, Stefan 61 Straughan, Brian 61 Véron, Laurent 61 Zuazua, Enrique 60 Temam, Roger Meyer 60 Zhang, Ping 58 Braides, Andrea 58 Dal Maso, Gianni 58 Lin, Chang-Shou 58 Steinmann, Paul 58 Titi, Edriss Saleh 57 Hayat, Tasawar 57 Kukavica, Igor 57 Lasiecka, Irena 57 Ortiz, Michael 57 Squassina, Marco 57 Zhou, Yong 56 Joseph, Daniel D. 56 Miranville, Alain M. 56 Nazarov, Sergeĭ Aleksandrovich 56 Novotný, Antonín 56 Roubíček, Tomáš 56 Toscani, Giuseppe 55 Del Pino, Manuel A. 55 Dolbeault, Jean 55 Fabrizio, Mauro 55 Hamel, François 55 Jiang, Song 55 Liu, Jianguo 55 Payne, Lawrence Edward 55 Peletier, Lambertus Adrianus 55 Wang, Zhi-Qiang 54 Stefanelli, Ulisse 54 Zhan, Huashui 53 Fusco, Nicola 53 Liu, Yue 53 Perthame, Benoît 52 Do Ó, João M. Bezerra 52 Muñoz Rivera, Jaime Edilberto 51 Colombo, Rinaldo M. 51 Li, Fucai 51 Wang, Dehua 51 Zhang, Ting 50 Ambrosio, Luigi 50 Cao, Daomin ...and 36,291 more Authors
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### Cited in 1,000 Journals

 3,486 Journal of Differential Equations 3,132 Archive for Rational Mechanics and Analysis 2,865 Journal of Mathematical Analysis and Applications 1,850 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,145 Calculus of Variations and Partial Differential Equations 1,034 ZAMP. Zeitschrift für angewandte Mathematik und Physik 881 Communications in Partial Differential Equations 854 Journal of Mathematical Physics 844 Journal of Functional Analysis 802 Communications in Mathematical Physics 783 SIAM Journal on Mathematical Analysis 772 Acta Mechanica 746 Journal of Elasticity 740 Discrete and Continuous Dynamical Systems 722 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 693 Computer Methods in Applied Mechanics and Engineering 677 Applicable Analysis 666 Nonlinear Analysis. Real World Applications 661 Nonlinear Analysis. Theory, Methods & Applications 630 Transactions of the American Mathematical Society 579 Journal de Mathématiques Pures et Appliquées. Neuvième Série 576 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 537 Physica D 531 Mathematical Methods in the Applied Sciences 518 Annali di Matematica Pura ed Applicata. Serie Quarta 511 International Journal of Engineering Science 503 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 498 Applied Mathematics and Computation 491 Proceedings of the American Mathematical Society 489 Journal of the Mechanics and Physics of Solids 476 Mathematics and Mechanics of Solids 464 Journal of Computational Physics 453 Applied Mathematics Letters 442 Journal of Mathematical Fluid Mechanics 439 Communications on Pure and Applied Analysis 434 Computers & Mathematics with Applications 380 Journal of Fluid Mechanics 363 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 361 Comptes Rendus. Mathématique. Académie des Sciences, Paris 357 Numerische Mathematik 346 Mathematische Annalen 343 Journal of Nonlinear Science 341 Advances in Mathematics 335 Journal of Computational and Applied Mathematics 335 Continuum Mechanics and Thermodynamics 330 Journal of Statistical Physics 310 NoDEA. Nonlinear Differential Equations and Applications 308 Boundary Value Problems 305 Mathematische Zeitschrift 298 Journal of Dynamics and Differential Equations 294 European Journal of Mechanics. A. Solids 293 Nonlinearity 289 Discrete and Continuous Dynamical Systems. Series B 273 Journal of Mathematical Sciences (New York) 269 Meccanica 253 Acta Applicandae Mathematicae 250 Quarterly of Applied Mathematics 242 Journal of Evolution Equations 240 Manuscripta Mathematica 238 Mathematics of Computation 231 Applied Mathematics and Optimization 221 Discrete and Continuous Dynamical Systems. Series S 219 The Journal of Geometric Analysis 217 Communications on Pure and Applied Mathematics 216 Communications in Contemporary Mathematics 215 Journal of Hyperbolic Differential Equations 204 Applied Mathematical Modelling 196 Journal d’Analyse Mathématique 195 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 192 Computational Mechanics 177 Abstract and Applied Analysis 175 Kinetic and Related Models 174 SIAM Journal on Applied Mathematics 173 Science China. Mathematics 167 Journal of Optimization Theory and Applications 164 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 161 Advances in Nonlinear Analysis 160 Applied Numerical Mathematics 160 Advanced Nonlinear Studies 158 Journal of Scientific Computing 158 Complex Variables and Elliptic Equations 156 Wave Motion 154 Journal of Mathematical Biology 143 Duke Mathematical Journal 141 Chinese Annals of Mathematics. Series B 141 Acta Mathematica Sinica. English Series 132 Rendiconti del Seminario Matematico della Università di Padova 131 Journal of Approximation Theory 129 Journal of the European Mathematical Society (JEMS) 128 International Journal of Solids and Structures 128 Mathematical and Computer Modelling 124 Linear Algebra and its Applications 124 Journal of Inequalities and Applications 123 Inventiones Mathematicae 122 Mathematische Nachrichten 121 Automatica 121 Monatshefte für Mathematik 121 Applied Mathematics and Mechanics. (English Edition) 120 Mathematical Notes 120 Acta Mathematica Scientia. Series B. (English Edition) ...and 900 more Journals
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### Cited in 63 Fields

 36,878 Partial differential equations (35-XX) 13,573 Fluid mechanics (76-XX) 10,683 Mechanics of deformable solids (74-XX) 5,029 Calculus of variations and optimal control; optimization (49-XX) 4,762 Numerical analysis (65-XX) 3,491 Ordinary differential equations (34-XX) 3,449 Statistical mechanics, structure of matter (82-XX) 3,101 Operator theory (47-XX) 2,839 Dynamical systems and ergodic theory (37-XX) 2,664 Biology and other natural sciences (92-XX) 2,126 Global analysis, analysis on manifolds (58-XX) 1,929 Differential geometry (53-XX) 1,923 Systems theory; control (93-XX) 1,920 Probability theory and stochastic processes (60-XX) 1,707 Functional analysis (46-XX) 1,525 Mechanics of particles and systems (70-XX) 1,459 Classical thermodynamics, heat transfer (80-XX) 1,426 Integral equations (45-XX) 1,149 Optics, electromagnetic theory (78-XX) 1,102 Quantum theory (81-XX) 1,038 Real functions (26-XX) 823 Functions of a complex variable (30-XX) 757 Potential theory (31-XX) 726 Harmonic analysis on Euclidean spaces (42-XX) 593 Operations research, mathematical programming (90-XX) 473 Geophysics (86-XX) 444 Approximations and expansions (41-XX) 405 Relativity and gravitational theory (83-XX) 401 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 388 Linear and multilinear algebra; matrix theory (15-XX) 376 Measure and integration (28-XX) 308 Information and communication theory, circuits (94-XX) 297 Computer science (68-XX) 222 Difference and functional equations (39-XX) 220 Convex and discrete geometry (52-XX) 190 Astronomy and astrophysics (85-XX) 184 Special functions (33-XX) 171 Several complex variables and analytic spaces (32-XX) 152 Statistics (62-XX) 150 General topology (54-XX) 126 Integral transforms, operational calculus (44-XX) 120 Topological groups, Lie groups (22-XX) 117 History and biography (01-XX) 116 Combinatorics (05-XX) 104 Manifolds and cell complexes (57-XX) 80 General and overarching topics; collections (00-XX) 75 Algebraic topology (55-XX) 73 Abstract harmonic analysis (43-XX) 62 Associative rings and algebras (16-XX) 57 Geometry (51-XX) 54 Number theory (11-XX) 53 Group theory and generalizations (20-XX) 51 Algebraic geometry (14-XX) 35 Nonassociative rings and algebras (17-XX) 30 Mathematical logic and foundations (03-XX) 26 Commutative algebra (13-XX) 24 Category theory; homological algebra (18-XX) 22 Sequences, series, summability (40-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 13 Field theory and polynomials (12-XX) 9 $$K$$-theory (19-XX) 4 Mathematics education (97-XX) 1 General algebraic systems (08-XX)