## 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: 4,840 Publications (since 1957) References Indexed: 4,318 Publications with 101,411 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 Rivlin, Ronald Samuel 26 Zumbrun, Kevin R. 25 Ericksen, Jerald Laverne 23 Mizel, Victor J. 23 Owen, David R. 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 Vazquez, Juan Luis 16 Yang, Tong 16 Zhang, Ping 15 Iooss, Gérard 15 LeFloch, Philippe Gerard 15 Masmoudi, Nader 15 Müller, Stefan 15 Sather, Duane 15 Sternberg, Eli 15 Tzavaras, Athanasios E. 15 Zhang, Zhifei 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 11 Ball, John MacLeod 11 Figalli, Alessio 11 Huang, Feimin 11 Mielke, Alexander 11 Redheffer, Raymond M. 11 Schiffer, Menahem Max 11 Šilhavý, Miroslav 11 Spector, Scott J. 11 Toupin, Richard A. 11 Virga, Epifanio G. 11 Wei, Juncheng 11 Wilcox, Calvin H. 11 Yu, Shih-Hsien 10 Dafermos, Constantine M. 10 Duffin, Richard James 10 Freistühler, Heinrich 10 Frid, Hermano 10 Iwaniec, Tadeusz 10 Kristensen, Jan 10 Liu, Tai-Ping 10 Perthame, Benoît 10 Rein, Gerhard 10 Shinbrot, Marvin 10 Vasseur, Alexis F. 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 Constantin, Adrian 9 Constantin, Peter 9 Garroni, Adriana ...and 3,726 more Authors
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### Fields

 2,332 Partial differential equations (35-XX) 1,286 Fluid mechanics (76-XX) 924 Mechanics of deformable solids (74-XX) 394 Calculus of variations and optimal control; optimization (49-XX) 369 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) 122 Differential geometry (53-XX) 111 Operator theory (47-XX) 107 Optics, electromagnetic theory (78-XX) 98 Global analysis, analysis on manifolds (58-XX) 78 Probability theory and stochastic processes (60-XX) 77 Integral equations (45-XX) 74 Quantum theory (81-XX) 64 Functional analysis (46-XX) 62 Biology and other natural sciences (92-XX) 61 Numerical analysis (65-XX) 57 Real functions (26-XX) 44 Functions of a complex variable (30-XX) 41 Geophysics (86-XX) 39 Measure and integration (28-XX) 37 Astronomy and astrophysics (85-XX) 36 Potential theory (31-XX) 35 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 Harmonic analysis on Euclidean spaces (42-XX) 14 Linear and multilinear algebra; matrix theory (15-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 General topology (54-XX) 7 Manifolds and cell complexes (57-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Integral transforms, operational calculus (44-XX) 6 Computer science (68-XX) 5 Algebraic topology (55-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Difference and functional equations (39-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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Convexity conditions and existence theorems in nonlinear elasticity. Zbl 0368.73040
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Elastic materials with couple-stresses. Zbl 0112.16805
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A symmetry problem in potential theory. Zbl 0222.31007
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On the Navier-Stokes initial value problem. I. Zbl 0126.42301
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A continuum theory of elastic material surfaces. Zbl 0326.73001
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The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
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The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035
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The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
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1963
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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1962
A general theory of heat conduction with finite wave speeds. Zbl 0164.12901
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On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302
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Fine phase mixtures as minimizers of energy. Zbl 0629.49020
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Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044
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1973
Asymptotic stability in viscoelasticity. Zbl 0214.24503
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1970
The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004
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Regularity results for stationary electro-rheological fluids. Zbl 1038.76058
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2002
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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1964
Regularity results for a class of functionals with non-standard growth. Zbl 0984.49020
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Quasilinear Dirichlet problems driven by positive sources. Zbl 0266.34021
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1973
Inéquations en thermoélasticité et magnétohydrodynamique. Zbl 0264.73027
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1972
Some constitutive equations for liquid crystals. Zbl 0159.57101
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1968
Non-linear age-dependent population dynamics. Zbl 0286.92005
Gurtin, Morton E.; MacCamy, Richard C.
1974
An analysis of a phase field model of a free boundary. Zbl 0608.35080
Caginalp, Gunduz
1986
Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042
Ambrosetti, A.; Badiale, M.; Cingolani, S.
1997
Semicontinuity problems in the calculus of variations. Zbl 0565.49010
Acerbi, Emilio; Fusco, Nicola
1984
Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260
Ma, Li; Zhao, Lin
2010
Traveling waves in a convolution model for phase transitions. Zbl 0889.45012
Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng
1997
Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Zbl 0090.17601
Kröner, Ekkehart
1960
Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046
Berestycki, Henri; Lions, Pierre-Louis
1983
Sur l’approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Zbl 0207.16904
Témam, R.
1969
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
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032
Marcellini, Paolo
1989
Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601
Browder, F. E.
1967
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
A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303
Noll, Walter
1958
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
1983
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
Regularity for double phase variational problems. Zbl 1322.49065
Colombo, Maria; Mingione, Giuseppe
2015
A nonlinear theory of elastic materials with voids. Zbl 0444.73018
Nunziato, Jace W.; Cowin, Stephen C.
1979
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
Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001
Dunn, J. Ernest; Fosdick, Roger L.
1974
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
1985
General Lagrange and Hermite interpolation in $$R^n$$ with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
1972
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057
Crandall, Michael G.; Rabinowitz, Paul H.
1975
A general theory of an elastic-plastic continuum. Zbl 0133.17701
Green, A. E.; Naghdi, P. M.
1965
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220
Winkler, Michael
2014
On the thermomechanics of interstitial working. Zbl 0582.73004
Dunn, J. E.; Serrin, J.
1985
Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Zbl 0789.35008
Jensen, Robert
1993
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
2006
Bounded minimisers of double phase variational integrals. Zbl 1325.49042
Colombo, Maria; Mingione, Giuseppe
2015
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
Hydrostatic theory of liquid crystals. Zbl 0105.23403
Ericksen, J. L.
1962
Solutions in $$L_ r$$ of the Navier-Stokes initial value problem. Zbl 0587.35078
Giga, Yoshikazu; Miyakawa, Tetsuro
1985
On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029
Ding, Wei-Yue; Ni, Wei-Ming
1986
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
Exact controllability theorems for linear parabolic equations in one space dimension. Zbl 0231.93003
Fattorini, H. O.; Russell, D. L.
1971
Dissipative dynamical systems. II: Linear systems with quadratic supply rates. Zbl 0252.93003
Willems, Jan C.
1972
The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021
Sternberg, Peter
1988
Standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1022.35064
Byeon, Jaeyoung; Wang, Zhi-Qiang
2002
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
1967
On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138
De Lellis, Camillo; Székelyhidi, László jun.
2010
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
Aronson, D. G.; Serrin, J.
1967
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 a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Zbl 0912.45011
Villani, Cédric
1998
Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082
Slemrod, M.
1983
Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036
Benci, Vieri; Cerami, Giovanna
1987
Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003
Liu, I-Shih
1972
The second law of thermodynamics and stability. Zbl 0448.73004
Dafermos, C. M.
1979
Certain non-steady flows of second-order fluids. Zbl 0139.20105
Ting, T. W.
1963
Existence and stability of solutions of a delay-differential system. Zbl 0105.30401
Driver, Rodney D.
1962
Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101
Vitillaro, Enzo
1999
Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105
Carrillo, José A.; McCann, Robert J.; Villani, Cédric
2006
Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Zbl 0631.35058
Goodman, Jonathan
1986
Quasistatic crack growth in nonlinear elasticity. Zbl 1064.74150
Dal Maso, Gianni; Francfort, Gilles A.; Toader, Rodica
2005
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
Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096
Levine, Howard A.; Serrin, James
1997
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
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
2001
Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024
Brézis, Haïm; Coron, Jean-Michel
1985
Integral estimates for null Lagrangians. Zbl 0793.58002
1993
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
Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078
Byeon, Jaeyoung; Jeanjean, Louis
2007
Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory. Zbl 0145.36902
Ikebe, T.
1960
Existence theorem for a minimum problem with free discontinuity set. Zbl 0682.49002
De Giorgi, E.; Carriero, M.; Leaci, A.
1989
Wave phenomena to the three-dimensional fluid-particle model. Zbl 07463777
Li, Hai-Liang; Wang, Teng; Wang, Yi
2022
Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
2022
Global Schauder estimates for the $$p$$-Laplace system. Zbl 1481.35235
Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S.
2022
Homogenization of ferromagnetic energies on Poisson random sets in the plane. Zbl 07463766
Braides, Andrea; Piatnitski, Andrey
2022
On the existence of linearly oscillating galaxies. Zbl 07463770
Hadžić, Mahir; Rein, Gerhard; Straub, Christopher
2022
Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in $$L^\infty$$. Zbl 07488596
Rosenzweig, Matthew
2022
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
Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions. Zbl 1456.76134
Duerinckx, Mitia; Gloria, Antoine
2021
Bounded solutions of ideal MHD with compact support in space-time. Zbl 1462.76208
Faraco, Daniel; Lindberg, Sauli; Székelyhidi, László jun.
2021
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375
Ignat, R.; Jerrard, R. L.
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
Continued gravitational collapse for Newtonian stars. Zbl 07298829
Guo, Yan; Hadžić, Mahir; Jang, Juhi
2021
Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics. Zbl 1458.35356
Trakhinin, Yuri; Wang, Tao
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
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
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
Lipschitz bounds and nonautonomous integrals. Zbl 1483.49050
De Filippis, Cristiana; Mingione, Giuseppe
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
From Steklov to Neumann via homogenisation. Zbl 1458.35040
Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean
2021
Nonlinear hyperbolic waves in relativistic gases of massive particles with Synge energy. Zbl 1456.76164
Ruggeri, Tommaso; Xiao, Qinghua; Zhao, Huijiang
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
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
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
Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035
Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd
2021
Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit. Zbl 07340104
Esposito, Antonio; Patacchini, Francesco Saverio; Schlichting, André; Slepčev, Dejan
2021
On the free surface motion of highly subsonic heat-conducting inviscid flows. Zbl 1464.76047
Luo, Tao; Zeng, Huihui
2021
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Zbl 1467.35271
Brué, Elia; Colombo, Maria; De Lellis, Camillo
2021
On the problem of maximal $$L^q$$-regularity for viscous Hamilton-Jacobi equations. Zbl 1467.35155
Cirant, Marco; Goffi, Alessandro
2021
Spectrum analysis for the Vlasov-Poisson-Boltzmann system. Zbl 1472.35386
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
2021
Global existence and the decay of solutions to the Prandtl system with small analytic data. Zbl 1472.35307
Paicu, Marius; Zhang, Ping
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
Two-dimensional grain boundary networks: stochastic particle models and kinetic limits. Zbl 1455.74011
Klobusicky, Joe; Menon, Govind; Pego, Robert L.
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
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
A new approach to the Rayleigh-Taylor instability. Zbl 1479.35643
Gebhard, Björn; Kolumbán, József J.; Székelyhidi, László Jr.
2021
Rigidity of branching microstructures in shape memory alloys. Zbl 1468.74048
Simon, Theresa M.
2021
Free boundary regularity for almost every solution to the Signorini problem. Zbl 07331727
Fernández-Real, Xavier; Ros-Oton, Xavier
2021
The relativistic quantum Boltzmann equation near equilibrium. Zbl 1470.35250
Bae, Gi-Chan; Jang, Jin Woo; Yun, Seok-Bae
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
A posteriori error estimates for numerical solutions to hyperbolic conservation laws. Zbl 1472.35018
Bressan, Alberto; Chiri, Maria Teresa; Shen, Wen
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
Nonexistence of subcritical solitary waves. Zbl 1467.76023
Kozlov, Vladimir; Lokharu, Evgeniy; Wheeler, Miles H.
2021
Local well-posedness of strong solutions to the three-dimensional compressible primitive equations. Zbl 1472.35393
Liu, Xin; Titi, Edriss S.
2021
Topological singular set of vector-valued maps. II: $$\varGamma$$-convergence for Ginzburg-Landau type functionals. Zbl 1467.58004
Canevari, Giacomo; Orlandi, Giandomenico
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
Interior electroneutrality in Nernst-Planck-Navier-Stokes systems. Zbl 07456152
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
2021
Stability and existence of stationary solutions to the Euler-Poisson equations in a domain with a curved boundary. Zbl 1456.82888
Suzuki, Masahiro; Takayama, Masahiro
2021
Bifurcation of symmetric domain walls for the Bénard-Rayleigh convection problem. Zbl 1461.76157
Haragus, Mariana; Iooss, Gérard
2021
The Saturn ring effect in nematic liquid crystals with external field: effective energy and hysteresis. Zbl 1468.76007
Alouges, François; Chambolle, Antonin; Stantejsky, Dominik
2021
Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy
2021
Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers. Zbl 1468.76022
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto
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
Master equation for the finite state space planning problem. Zbl 1470.91010
Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis
2021
Echo chains as a linear mechanism: norm inflation, modified exponents and asymptotics. Zbl 07387069
Deng, Yu; Zillinger, Christian
2021
Piecewise smooth stationary Euler flows with compact support via overdetermined boundary problems. Zbl 1462.35266
Domínguez-Vázquez, Miguel; Enciso, Alberto; Peralta-Salas, Daniel
2021
Large KAM tori for quasi-linear perturbations of KdV. Zbl 1462.35329
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo
2021
Two-speed solutions to non-convex rate-independent systems. Zbl 1460.35016
Rindler, Filip; Schwarzacher, Sebastian; Velázquez, Juan J. L.
2021
Partially regular weak solutions of the Navier-Stokes equations in $$\mathbb{R}^4 \times [0,\infty[$$. Zbl 07326817
Wu, Bian
2021
Derivation of the Landau-Pekar equations in a many-body mean-field limit. Zbl 1473.35468
Leopold, Nikolai; Mitrouskas, David; Seiringer, Robert
2021
3-d axisymmetric transonic shock solutions of the full Euler system in divergent nozzles. Zbl 1464.35096
Park, Yong
2021
Hyperbolic solutions to Bernoulli’s free boundary problem. Zbl 1462.35210
Henrot, Antoine; Onodera, Michiaki
2021
Stationary non-equilibrium solutions for coagulation systems. Zbl 1465.45009
Ferreira, Marina A.; Lukkarinen, Jani; Nota, Alessia; Velázquez, Juan J. L.
2021
Singularities and unsteady separation for the inviscid two-dimensional Prandtl system. Zbl 1470.35278
Collot, Charles; Ghoul, Tej-Eddine; Masmoudi, Nader
2021
Uniqueness of plane stationary Navier-Stokes flow past an obstacle. Zbl 1473.76017
Korobkov, Mikhail; Ren, Xiao
2021
Self-similar solutions of the compressible Navier-Stokes equations. Zbl 1466.76039
Germain, Pierre; Iwabuchi, Tsukasa
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
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
Long-time behaviour of time-dependent density functional theory. Zbl 1467.82112
Pusateri, Fabio; Sigal, Israel Michael
2021
On the long-time behavior of dissipative solutions to models of non-Newtonian compressible fluids. Zbl 1472.35294
Feireisl, Eduard; Kwon, Young-Sam; Novotný, Antonín
2021
Isodiametry, variance, and regular simplices from particle interactions. Zbl 1470.49038
Lim, Tongseok; McCann, Robert J.
2021
Weak continuity of the Cartan structural system and compensated compactness on semi-Riemannian manifolds with lower regularity. Zbl 1468.83007
Chen, Gui-Qiang G.; Li, Siran
2021
Two-dimensional pseudosteady flows around a sharp corner. Zbl 1472.35278
Lai, Geng; Sheng, Wancheng
2021
Convergence of viscosity solutions of generalized contact Hamilton-Jacobi equations. Zbl 1467.35100
Wang, Ya-Nan; Yan, Jun; Zhang, Jianlu
2021
Global solutions to the compressible Euler equations with heat transport by convection around Dyson’s isothermal affine solutions. Zbl 1472.35279
Rickard, Calum
2021
Curved fronts of bistable reaction-diffusion equations in spatially periodic media. Zbl 1483.35116
Guo, Hongjun; Li, Wan-Tong; Liu, Rongsong; Wang, Zhi-Cheng
2021
The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics. Zbl 07430055
Feliciangeli, Dario; Seiringer, Robert
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
Quasilinear Schrödinger equations. III: Large data and short time. Zbl 07456153
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
2021
Porous medium equation with a drift: free boundary regularity. Zbl 1481.35101
Kim, Inwon; Zhang, Yuming Paul
2021
Characterization of minimizers of Aviles-Giga functionals in special domains. Zbl 07456156
Marconi, Elio
2021
Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge. Zbl 1434.35234
2020
Weak solutions for some compressible multicomponent fluid models. Zbl 1434.35062
Novotný, Antonín; Pokorný, Milan
2020
Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion. Zbl 1437.35549
Tao, Lizheng; Wu, Jiahong; Zhao, Kun; Zheng, Xiaoming
2020
A paradifferential approach for well-posedness of the Muskat problem. Zbl 1437.35588
2020
Paralinearization of the Muskat equation and application to the Cauchy problem. Zbl 1437.35563
Alazard, Thomas; Lazar, Omar
2020
Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus. Zbl 1436.58025
Carrillo, J. A.; Gvalani, R. S.; Pavliotis, G. A.; Schlichting, A.
2020
Gluing methods for vortex dynamics in Euler flows. Zbl 1439.35382
Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng
2020
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### Cited by 35,444 Authors

 154 Wei, Juncheng 125 Feireisl, Eduard 112 Carrillo de la Plata, José Antonio 111 Vazquez, Juan Luis 111 Yang, Tong 100 Yin, Zhaoyang 98 Quintanilla de Latorre, Ramón 96 Gurtin, Morton Edward 96 Rajagopal, Kumbakonam Ramamani 95 Rădulescu, Vicenţiu D. 95 Zumbrun, Kevin R. 90 Papageorgiou, Nikolaos S. 90 Tan, Zhong 88 Chen, Gui-Qiang G. 88 Rossi, Julio Daniel 88 Xin, Zhouping 87 Valdinoci, Enrico 84 Alves, Claudianor Oliveira 83 Guo, Boling 81 Marsden, Jerrold Eldon 79 Winkler, Michael 78 Friedman, Avner 77 Ammari, Habib M. 77 Fan, Jishan 77 Tang, Xianhua 76 Conti, Sergio 75 Li, Wan-Tong 74 Yao, Zhengan 72 Messaoudi, Salim A. 72 Zhu, Changjiang 71 Ha, Seung-Yeal 71 Novaga, Matteo 71 Wu, Jiahong 70 Mielke, Alexander 69 Lions, Pierre-Louis 69 Mingione, Giuseppe 69 Zhang, Zhifei 68 Masmoudi, Nader 67 Giga, Yoshikazu 67 Nečasová, Šárka 67 Neff, Patrizio 67 Zhao, Huijiang 65 Coleman, Bernard David 65 Zou, Wenming 64 Byun, Sun-Sig 64 Caffarelli, Luis Ángel 64 Galdi, Giovanni Paolo 63 Fonseca, Irene 63 Gazzola, Filippo 63 Mu, Chunlai 62 Figalli, Alessio 61 Ciarlet, Philippe Gaston 61 LeFloch, Philippe Gerard 61 Müller, Stefan 61 Straughan, Brian 60 Temam, Roger Meyer 60 Véron, Laurent 60 Wang, Shu 60 Zuazua, Enrique 59 Zhang, Ping 58 Braides, Andrea 58 Dong, Hongjie 58 Lin, Chang-Shou 57 Hayat, Tasawar 57 Lasiecka, Irena 57 Ortiz, Michael 57 Steinmann, Paul 57 Titi, Edriss Saleh 56 Dal Maso, Gianni 56 Joseph, Daniel D. 56 Miranville, Alain M. 56 Nazarov, Sergeĭ Aleksandrovich 56 Squassina, Marco 55 Del Pino, Manuel A. 55 Dolbeault, Jean 55 Fabrizio, Mauro 55 Jiang, Song 55 Kukavica, Igor 55 Liu, Jianguo 55 Novotný, Antonín 55 Payne, Lawrence Edward 55 Peletier, Lambertus Adrianus 55 Roubíček, Tomáš 55 Wang, Zhi-Qiang 55 Zhou, Yong 54 Toscani, Giuseppe 53 Fusco, Nicola 53 Hamel, François 53 Perthame, Benoît 52 Muñoz Rivera, Jaime Edilberto 52 Stefanelli, Ulisse 51 Colombo, Rinaldo M. 51 Do Ó, João M. Bezerra 51 Liu, Yue 51 Wang, Dehua 50 Ambrosio, Luigi 50 Iesan, Dorin 50 Zhan, Huashui 50 Zhang, Ting 49 Cao, Daomin ...and 35,344 more Authors
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### Cited in 974 Journals

 3,434 Journal of Differential Equations 3,104 Archive for Rational Mechanics and Analysis 2,818 Journal of Mathematical Analysis and Applications 1,811 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,104 Calculus of Variations and Partial Differential Equations 1,001 ZAMP. Zeitschrift für angewandte Mathematik und Physik 866 Communications in Partial Differential Equations 854 Journal of Mathematical Physics 813 Journal of Functional Analysis 797 Communications in Mathematical Physics 761 Acta Mechanica 729 SIAM Journal on Mathematical Analysis 724 Journal of Elasticity 722 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 710 Discrete and Continuous Dynamical Systems 679 Computer Methods in Applied Mechanics and Engineering 660 Nonlinear Analysis. Theory, Methods & Applications 637 Nonlinear Analysis. Real World Applications 633 Applicable Analysis 625 Transactions of the American Mathematical Society 568 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 567 Journal de Mathématiques Pures et Appliquées. Neuvième Série 531 Mathematical Methods in the Applied Sciences 526 Physica D 507 International Journal of Engineering Science 506 Annali di Matematica Pura ed Applicata. Serie Quarta 496 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 489 Journal of the Mechanics and Physics of Solids 485 Applied Mathematics and Computation 483 Proceedings of the American Mathematical Society 453 Mathematics and Mechanics of Solids 447 Journal of Computational Physics 432 Communications on Pure and Applied Analysis 431 Applied Mathematics Letters 429 Computers & Mathematics with Applications 411 Journal of Mathematical Fluid Mechanics 376 Journal of Fluid Mechanics 356 Comptes Rendus. Mathématique. Académie des Sciences, Paris 351 Numerische Mathematik 350 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 335 Continuum Mechanics and Thermodynamics 333 Advances in Mathematics 330 Journal of Computational and Applied Mathematics 327 Journal of Nonlinear Science 324 Mathematische Annalen 320 Journal of Statistical Physics 301 Mathematische Zeitschrift 295 NoDEA. Nonlinear Differential Equations and Applications 294 Boundary Value Problems 293 Nonlinearity 291 Journal of Dynamics and Differential Equations 283 European Journal of Mechanics. A. Solids 273 Discrete and Continuous Dynamical Systems. Series B 269 Meccanica 268 Journal of Mathematical Sciences (New York) 244 Quarterly of Applied Mathematics 244 Acta Applicandae Mathematicae 239 Manuscripta Mathematica 230 Mathematics of Computation 230 Journal of Evolution Equations 221 Applied Mathematics and Optimization 217 Communications on Pure and Applied Mathematics 211 Communications in Contemporary Mathematics 210 Journal of Hyperbolic Differential Equations 209 Discrete and Continuous Dynamical Systems. Series S 204 Applied Mathematical Modelling 198 The Journal of Geometric Analysis 193 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 191 Journal d’Analyse Mathématique 183 Computational Mechanics 176 Abstract and Applied Analysis 169 Kinetic and Related Models 168 Science China. Mathematics 167 Journal of Optimization Theory and Applications 165 SIAM Journal on Applied Mathematics 164 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 156 Applied Numerical Mathematics 153 Wave Motion 152 Journal of Mathematical Biology 152 Journal of Scientific Computing 150 Complex Variables and Elliptic Equations 150 Advances in Nonlinear Analysis 149 Advanced Nonlinear Studies 142 Duke Mathematical Journal 141 Chinese Annals of Mathematics. Series B 139 Acta Mathematica Sinica. English Series 131 Journal of Approximation Theory 131 Rendiconti del Seminario Matematico della Università di Padova 128 International Journal of Solids and Structures 128 Mathematical and Computer Modelling 127 Journal of the European Mathematical Society (JEMS) 123 Journal of Inequalities and Applications 122 Mathematische Nachrichten 121 Applied Mathematics and Mechanics. (English Edition) 120 Linear Algebra and its Applications 119 Inventiones Mathematicae 119 Acta Mathematicae Applicatae Sinica. English Series 118 Automatica 117 Mathematical Notes 117 Systems & Control Letters ...and 874 more Journals
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### Cited in 63 Fields

 35,572 Partial differential equations (35-XX) 13,125 Fluid mechanics (76-XX) 10,435 Mechanics of deformable solids (74-XX) 4,912 Calculus of variations and optimal control; optimization (49-XX) 4,609 Numerical analysis (65-XX) 3,458 Ordinary differential equations (34-XX) 3,364 Statistical mechanics, structure of matter (82-XX) 3,034 Operator theory (47-XX) 2,768 Dynamical systems and ergodic theory (37-XX) 2,559 Biology and other natural sciences (92-XX) 2,072 Global analysis, analysis on manifolds (58-XX) 1,862 Systems theory; control (93-XX) 1,861 Differential geometry (53-XX) 1,851 Probability theory and stochastic processes (60-XX) 1,652 Functional analysis (46-XX) 1,496 Mechanics of particles and systems (70-XX) 1,437 Classical thermodynamics, heat transfer (80-XX) 1,398 Integral equations (45-XX) 1,108 Optics, electromagnetic theory (78-XX) 1,070 Quantum theory (81-XX) 982 Real functions (26-XX) 789 Functions of a complex variable (30-XX) 731 Potential theory (31-XX) 686 Harmonic analysis on Euclidean spaces (42-XX) 575 Operations research, mathematical programming (90-XX) 448 Geophysics (86-XX) 431 Approximations and expansions (41-XX) 398 Relativity and gravitational theory (83-XX) 393 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 372 Linear and multilinear algebra; matrix theory (15-XX) 363 Measure and integration (28-XX) 298 Information and communication theory, circuits (94-XX) 286 Computer science (68-XX) 221 Difference and functional equations (39-XX) 213 Convex and discrete geometry (52-XX) 188 Astronomy and astrophysics (85-XX) 178 Special functions (33-XX) 164 Several complex variables and analytic spaces (32-XX) 147 General topology (54-XX) 147 Statistics (62-XX) 121 Integral transforms, operational calculus (44-XX) 115 History and biography (01-XX) 115 Topological groups, Lie groups (22-XX) 111 Combinatorics (05-XX) 104 Manifolds and cell complexes (57-XX) 78 General and overarching topics; collections (00-XX) 73 Abstract harmonic analysis (43-XX) 73 Algebraic topology (55-XX) 54 Associative rings and algebras (16-XX) 54 Geometry (51-XX) 51 Number theory (11-XX) 51 Group theory and generalizations (20-XX) 50 Algebraic geometry (14-XX) 36 Nonassociative rings and algebras (17-XX) 30 Mathematical logic and foundations (03-XX) 25 Commutative algebra (13-XX) 23 Category theory; homological algebra (18-XX) 20 Sequences, series, summability (40-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 13 Field theory and polynomials (12-XX) 10 $$K$$-theory (19-XX) 4 Mathematics education (97-XX) 1 General algebraic systems (08-XX)