## Archive for Rational Mechanics and Analysis

 Short Title: Arch. Ration. Mech. Anal. Publisher: Springer, Berlin/Heidelberg ISSN: 0003-9527; 1432-0673/e Online: http://link.springer.com/journal/volumesAndIssues/205 Comments: Indexed cover-to-cover
 Documents Indexed: 4,913 Publications (since 1957) References Indexed: 4,391 Publications with 104,595 References.
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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 Conti, Sergio 19 Fonseca, Irene 19 Noll, Walter 19 Payne, Lawrence Edward 19 Xin, Zhouping 18 Green, Albert E. 18 Guo, Yan 18 McLeod, John Bryce 18 Slemrod, Marshall 18 Smoller, Joel Alan 17 Antman, Stuart S. 17 Cohen, Harley 17 Feireisl, Eduard 17 Marsden, Jerrold Eldon 17 Velázquez, Juan J. L. 17 Zhang, Zhifei 16 Fosdick, Roger L. 16 Masmoudi, Nader 16 Vazquez, Juan Luis 16 Yang, Tong 16 Zhang, Ping 15 Iooss, Gérard 15 LeFloch, Philippe Gerard 15 Müller, Stefan 15 Sather, Duane 15 Sternberg, Eli 15 Tzavaras, Athanasios E. 14 Bowen, Ray M. 14 Dal Maso, Gianni 14 Fife, Paul C. 14 Knops, Robin J. 14 Mingione, Giuseppe 14 Müller, Ingo 14 Naghdi, Paul Mansour 14 Ortiz, Michael 14 Renardy, Michael 13 Bressan, Alberto 13 Brézis, Haïm 13 Chen, Peter J. 13 Edelen, Dominic Gardiner Bowling 13 Terracini, Susanna 13 Williams, William O. 12 Bhattacharya, Kaushik 12 Giga, Yoshikazu 12 Kim, Inwon Christina 12 Kristensen, Jan 12 Lions, Pierre-Louis 12 Pipkin, Allen C. 12 Ryzhik, Lenya 12 Toland, John Francis 12 Truesdell, Clifford Ambrose III 12 Wei, Juncheng 12 Yu, Shih-Hsien 11 Ball, John MacLeod 11 Figalli, Alessio 11 Huang, Feimin 11 Liu, Tai-Ping 11 Mielke, Alexander 11 Redheffer, Raymond M. 11 Schiffer, Menahem Max 11 Šilhavý, Miroslav 11 Spector, Scott J. 11 Toupin, Richard A. 11 Vasseur, Alexis F. 11 Virga, Epifanio G. 11 Wilcox, Calvin H. 10 Constantin, Adrian 10 Dafermos, Constantine M. 10 Duffin, Richard James 10 Freistühler, Heinrich 10 Frid, Hermano 10 Iwaniec, Tadeusz 10 Jang, Juhi 10 Lin, Fang Hua 10 Perthame, Benoît 10 Rein, Gerhard 10 Shinbrot, Marvin 10 Zuazua, Enrique 9 Beirão da Veiga, Hugo 9 Bouchitté, Guy 9 Braides, Andrea 9 Bucur, Dorin 9 Cesari, Lamberto 9 Chen, Xinfu ...and 3,800 more Authors
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### Fields

 2,391 Partial differential equations (35-XX) 1,319 Fluid mechanics (76-XX) 931 Mechanics of deformable solids (74-XX) 402 Calculus of variations and optimal control; optimization (49-XX) 376 Statistical mechanics, structure of matter (82-XX) 185 Mechanics of particles and systems (70-XX) 153 Ordinary differential equations (34-XX) 143 Classical thermodynamics, heat transfer (80-XX) 132 Dynamical systems and ergodic theory (37-XX) 123 Differential geometry (53-XX) 111 Operator theory (47-XX) 111 Optics, electromagnetic theory (78-XX) 98 Global analysis, analysis on manifolds (58-XX) 82 Probability theory and stochastic processes (60-XX) 79 Quantum theory (81-XX) 77 Integral equations (45-XX) 66 Functional analysis (46-XX) 62 Numerical analysis (65-XX) 62 Biology and other natural sciences (92-XX) 58 Real functions (26-XX) 45 Functions of a complex variable (30-XX) 45 Geophysics (86-XX) 39 Potential theory (31-XX) 39 Astronomy and astrophysics (85-XX) 38 Measure and integration (28-XX) 38 Relativity and gravitational theory (83-XX) 36 Systems theory; control (93-XX) 18 Operations research, mathematical programming (90-XX) 16 Special functions (33-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Group theory and generalizations (20-XX) 12 Approximations and expansions (41-XX) 10 Convex and discrete geometry (52-XX) 9 Topological groups, Lie groups (22-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 History and biography (01-XX) 7 General topology (54-XX) 6 General and overarching topics; collections (00-XX) 6 Integral transforms, operational calculus (44-XX) 6 Manifolds and cell complexes (57-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 Difference and functional equations (39-XX) 5 Algebraic topology (55-XX) 4 Combinatorics (05-XX) 3 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Category theory; homological algebra (18-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX)

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A symmetry problem in potential theory. Zbl 0222.31007
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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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Effects of couple-stresses in linear elasticity. Zbl 0112.38906
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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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A general theory of heat conduction with finite wave speeds. Zbl 0164.12901
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Fine phase mixtures as minimizers of energy. Zbl 0629.49020
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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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Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260
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2010
Non-linear age-dependent population dynamics. Zbl 0286.92005
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1974
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032
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1989
Semicontinuity problems in the calculus of variations. Zbl 0565.49010
Acerbi, Emilio; Fusco, Nicola
1984
Traveling waves in a convolution model for phase transitions. Zbl 0889.45012
Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng
1997
An analysis of a phase field model of a free boundary. Zbl 0608.35080
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Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Zbl 0090.17601
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1960
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
Sur l’approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Zbl 0207.16904
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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
$$L^ 2$$ decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031
Schonbek, Maria Elena
1985
An optimal Poincaré inequality for convex domains. Zbl 0099.08402
Payne, L. E.; Weinberger, H. F.
1960
Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601
Browder, F. E.
1967
Regularity for double phase variational problems. Zbl 1322.49065
Colombo, Maria; Mingione, Giuseppe
2015
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
On the Cahn-Hilliard equation. Zbl 0624.35048
Elliott, Charles M.; Zheng, Songmu
1986
A nonlinear theory of elastic materials with voids. Zbl 0444.73018
Nunziato, Jace W.; Cowin, Stephen C.
1979
Bounded minimisers of double phase variational integrals. Zbl 1325.49042
Colombo, Maria; Mingione, Giuseppe
2015
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220
Winkler, Michael
2014
On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016
Iwaniec, Tadeusz; Sbordone, Carlo
1992
Estimates of harmonic measure. Zbl 0406.28009
Dahlberg, Björn E. J.
1977
An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403
Coleman, Bernard D.; Noll, Walter
1960
On global solution of nonlinear hyperbolic equations. Zbl 0159.39102
Sattinger, D. H.
1968
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
1985
On the thermomechanics of interstitial working. Zbl 0582.73004
Dunn, J. E.; Serrin, 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
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
2006
Liquid crystal flows in two dimensions. Zbl 1346.76011
Lin, Fanghua; Lin, Junyu; Wang, Changyou
2010
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
Entropy solutions for nonlinear degenerate problems. Zbl 0935.35056
Carrillo, José
1999
Multipolar continuum mechanics. Zbl 0133.17604
Green, A. E.; Rivlin, R. S.
1964
Exact controllability theorems for linear parabolic equations in one space dimension. Zbl 0231.93003
Fattorini, H. O.; Russell, D. L.
1971
On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138
De Lellis, Camillo; Székelyhidi, László jun.
2010
Solutions in $$L_ r$$ of the Navier-Stokes initial value problem. Zbl 0587.35078
Giga, Yoshikazu; Miyakawa, Tetsuro
1985
Hydrostatic theory of liquid crystals. Zbl 0105.23403
Ericksen, J. L.
1962
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
1996
Caractérisation de quelques espaces d’interpolation. Zbl 0187.05901
Grisvard, P.
1967
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
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
On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029
Ding, Wei-Yue; Ni, Wei-Ming
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
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
1967
The second law of thermodynamics and stability. Zbl 0448.73004
Dafermos, C. M.
1979
Standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1022.35064
Byeon, Jaeyoung; Wang, Zhi-Qiang
2002
Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036
Benci, Vieri; Cerami, Giovanna
1987
Certain non-steady flows of second-order fluids. Zbl 0139.20105
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1963
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
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1967
Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105
Carrillo, José A.; McCann, Robert J.; Villani, Cédric
2006
Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082
Slemrod, M.
1983
Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101
Vitillaro, Enzo
1999
Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003
Liu, I-Shih
1972
The Pohozaev identity for the fractional Laplacian. Zbl 1361.35199
Ros-Oton, Xavier; Serra, Joaquim
2014
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
Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078
Byeon, Jaeyoung; Jeanjean, Louis
2007
Existence and stability of solutions of a delay-differential system. Zbl 0105.30401
Driver, Rodney D.
1962
Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096
Levine, Howard A.; Serrin, James
1997
Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035
Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia
2005
Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024
Brézis, Haïm; Coron, Jean-Michel
1985
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
2001
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
Axioms and fundamental equations of image processing. Zbl 0788.68153
Alvarez, Luis; Guichard, Frédéric; Lions, Pierre-Louis; Morel, Jean- Michel
1993
Integral estimates for null Lagrangians. Zbl 0793.58002
1993
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
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
Stability of Lamb dipoles. Zbl 07525969
Abe, Ken; Choi, Kyudong
2022
Minkowski inequalities via nonlinear potential theory. Zbl 1498.35213
Agostiniani, Virginia; Fogagnolo, Mattia; Mazzieri, Lorenzo
2022
Infinite-dimensional inverse problems with finite measurements. Zbl 1481.35390
Alberti, Giovanni S.; Santacesaria, Matteo
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
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
Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints. Zbl 1492.49016
Guerra, André; Raiță, Bogdan
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
On the energy scaling behaviour of a singularly perturbed Tartar square. Zbl 1480.49002
Rüland, Angkana; Tribuzio, Antonio
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
Stabilization of the linearized water tank system. Zbl 1491.93089
Coron, Jean-Michel; Hayat, Amaury; Xiang, Shengquan; Zhang, Christophe
2022
Nonuniqueness and existence of continuous, globally dissipative Euler flows. Zbl 1489.35185
Isett, Philip
2022
Complete entropic inequalities for quantum Markov chains. Zbl 1501.46053
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
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
Smooth controllability of the Navier-Stokes equation with Navier conditions: application to Lagrangian controllability. Zbl 07463775
Liao, Jiajiang; Sueur, Franck; Zhang, Ping
2022
Anomalous dissipation in passive scalar transport. Zbl 07488591
Drivas, Theodore D.; Elgindi, Tarek M.; Iyer, Gautam; Jeong, In-Jee
2022
Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher. Zbl 1489.82080
Lu, Jianfeng; Stubbs, Kevin D.; Watson, Alexander B.
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
The blow-up rate for a non-scaling invariant semilinear heat equation. Zbl 1486.35074
Hamza, Mohamed Ali; Zaag, Hatem
2022
Variational aspects of the two-center problem. Zbl 07511053
Chen, Kuo-Chang
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
Kac’s process with hard potentials and a moderate angular singularity. Zbl 07525966
Heydecker, Daniel
2022
Regularity of stationary Boltzmann equation in convex domains. Zbl 1489.35177
Chen, Hongxu; Kim, Chanwoo
2022
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. Zbl 07549419
Disconzi, Marcelo M.; Ifrim, Mihaela; Tataru, Daniel
2022
Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands. Zbl 07549426
Guerra, André; Kristensen, Jan
2022
Global $${L}_p$$ estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form. Zbl 1493.35015
Dong, Hongjie; Yastrzhembskiy, Timur
2022
Stability of the Couette flow for a 2D Boussinesq system without thermal diffusivity. Zbl 07556962
Masmoudi, Nader; Said-Houari, Belkacem; Zhao, Weiren
2022
Boyarsky-Meyers estimate for solutions to Zaremba problem. Zbl 1500.35126
Alkhutov, Yurij A.; Chechkin, Gregory A.; Maz&rsquo;ya, Vladimir G.
2022
Local well-posedness of free-boundary incompressible elastodynamics with surface tension via vanishing viscosity limit. Zbl 07571554
Gu, Xumin; Lei, Zhen
2022
Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure. Zbl 07571556
Hästö, Peter; Ok, Jihoon
2022
Correction to: “Burst of point vortices and non-uniqueness of 2D Euler equations”. Zbl 07592337
Grotto, Francesco; Pappalettera, Umberto
2022
Global well-posedness for the three dimensional Muskat problem in the critical Sobolev space. Zbl 07592338
Gancedo, Francisco; Lazar, Omar
2022
On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals. Zbl 1497.49049
Bulíček, Miroslav; Gwiazda, Piotr; Skrzeczkowski, Jakub
2022
On maximally mixed equilibria of two-dimensional perfect fluids. Zbl 07643210
Dolce, Michele; Drivas, Theodore D.
2022
Lipschitz bounds and nonautonomous integrals. Zbl 1483.49050
De Filippis, Cristiana; Mingione, Giuseppe
2021
Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions. Zbl 1456.76134
Duerinckx, Mitia; Gloria, Antoine
2021
Traveling quasi-periodic water waves with constant vorticity. Zbl 1462.35262
Berti, Massimiliano; Franzoi, Laura; Maspero, Alberto
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-interaction equation on graphs: gradient flow structure and continuum limit. Zbl 07340104
Esposito, Antonio; Patacchini, Francesco Saverio; Schlichting, André; Slepčev, Dejan
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
Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime. Zbl 1456.82909
Dipasquale, Federico; Millot, Vincent; Pisante, Adriano
2021
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Zbl 1467.35271
Brué, Elia; Colombo, Maria; De Lellis, Camillo
2021
Local well-posedness of strong solutions to the three-dimensional compressible primitive equations. Zbl 1472.35393
Liu, Xin; Titi, Edriss S.
2021
A new approach to the Rayleigh-Taylor instability. Zbl 1479.35643
Gebhard, Björn; Kolumbán, József J.; Székelyhidi, László Jr.
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
Weak solutions to the Muskat problem with surface tension via optimal transport. Zbl 1460.65114
Jacobs, Matt; Kim, Inwon; Mészáros, Alpár R.
2021
Continued gravitational collapse for Newtonian stars. Zbl 07298829
Guo, Yan; Hadžić, Mahir; Jang, Juhi
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
Nonlinear hyperbolic waves in relativistic gases of massive particles with Synge energy. Zbl 1456.76164
Ruggeri, Tommaso; Xiao, Qinghua; Zhao, Huijiang
2021
Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics. Zbl 1458.35356
Trakhinin, Yuri; Wang, Tao
2021
Crystallization to the square lattice for a two-body potential. Zbl 1465.74008
Bétermin, Laurent; De Luca, Lucia; Petrache, Mircea
2021
Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy
2021
Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems. Zbl 1471.35024
Fischer, Julian; Neukamm, Stefan
2021
Anticipation breeds alignment. Zbl 1478.37009
Shu, Ruiwen; Tadmor, Eitan
2021
Free boundary regularity for almost every solution to the Signorini problem. Zbl 07331727
Fernández-Real, Xavier; Ros-Oton, Xavier
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
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
2021
On the Serrin-type condition on one velocity component for the Navier-Stokes equations. Zbl 1472.35268
Chae, D.; Wolf, J.
2021
The relativistic quantum Boltzmann equation near equilibrium. Zbl 1470.35250
Bae, Gi-Chan; Jang, Jin Woo; Yun, Seok-Bae
2021
Global existence and the decay of solutions to the Prandtl system with small analytic data. Zbl 1472.35307
Paicu, Marius; Zhang, Ping
2021
Isodiametry, variance, and regular simplices from particle interactions. Zbl 1470.49038
Lim, Tongseok; McCann, Robert 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
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
Characterization of minimizers of Aviles-Giga functionals in special domains. Zbl 07456156
Marconi, Elio
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
Master equation for the finite state space planning problem. Zbl 1470.91010
Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis
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
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
From Steklov to Neumann via homogenisation. Zbl 1458.35040
Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean
2021
Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035
Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd
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
Convergence of viscosity solutions of generalized contact Hamilton-Jacobi equations. Zbl 1467.35100
Wang, Ya-Nan; Yan, Jun; Zhang, Jianlu
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
Curvature-driven wrinkling of thin elastic shells. Zbl 1460.74057
Tobasco, Ian
2021
Partially regular weak solutions of the Navier-Stokes equations in $$\mathbb{R}^4 \times [0,\infty[$$. Zbl 07326817
Wu, Bian
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
3-d axisymmetric transonic shock solutions of the full Euler system in divergent nozzles. Zbl 1464.35096
Park, Yong
2021
Structural stability of supersonic solutions to the Euler-Poisson system. Zbl 1456.35136
Bae, Myoungjean; Duan, Ben; Xiao, Jingjing; Xie, Chunjing
2021
Symmetry and rigidity of minimal surfaces with Plateau-like singularities. Zbl 1473.49045
Bernstein, Jacob; Maggi, Francesco
2021
On the free surface motion of highly subsonic heat-conducting inviscid flows. Zbl 1464.76047
Luo, Tao; Zeng, Huihui
2021
Stability of traveling wave solutions of nonlinear dispersive equations of NLS type. Zbl 1467.35299
Leisman, Katelyn Plaisier; Bronski, Jared C.; Johnson, Mathew A.; Marangell, Robert
2021
On the problem of maximal $$L^q$$-regularity for viscous Hamilton-Jacobi equations. Zbl 1467.35155
Cirant, Marco; Goffi, Alessandro
2021
Hilbert expansion of the Boltzmann equation with specular boundary condition in half-space. Zbl 1468.76059
Guo, Yan; Huang, Feimin; Wang, Yong
2021
Spectrum analysis for the Vlasov-Poisson-Boltzmann system. Zbl 1472.35386
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
2021
A posteriori error estimates for numerical solutions to hyperbolic conservation laws. Zbl 1472.35018
Bressan, Alberto; Chiri, Maria Teresa; Shen, Wen
2021
...and 1735 more Documents
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### Cited by 37,436 Authors

 161 Wei, Juncheng 136 Feireisl, Eduard 121 Carrillo de la Plata, José Antonio 113 Yang, Tong 112 Vazquez, Juan Luis 107 Rădulescu, Vicenţiu D. 106 Yin, Zhaoyang 103 Quintanilla de Latorre, Ramón 99 Tan, Zhong 96 Gurtin, Morton Edward 96 Rajagopal, Kumbakonam Ramamani 96 Zumbrun, Kevin R. 95 Papageorgiou, Nikolaos S. 94 Rossi, Julio Daniel 92 Guo, Boling 91 Chen, Gui-Qiang G. 91 Valdinoci, Enrico 90 Xin, Zhouping 89 Alves, Claudianor Oliveira 86 Winkler, Michael 83 Tang, Xianhua 81 Ammari, Habib M. 81 Fan, Jishan 81 Marsden, Jerrold Eldon 81 Yao, Zhengan 78 Conti, Sergio 78 Friedman, Avner 78 Li, Wan-Tong 78 Zhang, Zhifei 77 Nečasová, Šárka 77 Neff, Patrizio 76 Masmoudi, Nader 76 Wu, Jiahong 76 Zhu, Changjiang 74 Ha, Seung-Yeal 74 Messaoudi, Salim A. 74 Novaga, Matteo 73 Byun, Sun-Sig 71 Mielke, Alexander 71 Wang, Shu 71 Zou, Wenming 70 Lions, Pierre-Louis 69 Giga, Yoshikazu 69 Mingione, Giuseppe 69 Zhao, Huijiang 67 Fonseca, Irene 66 Gazzola, Filippo 65 Caffarelli, Luis Ángel 65 Coleman, Bernard David 65 Zuazua, Enrique 64 Figalli, Alessio 64 Galdi, Giovanni Paolo 64 LeFloch, Philippe Gerard 64 Mu, Chunlai 63 Dong, Hongjie 62 Temam, Roger Meyer 61 Ciarlet, Philippe Gaston 61 Müller, Stefan 61 Straughan, Brian 61 Véron, Laurent 61 Zhang, Ping 60 Liu, Jianguo 60 Titi, Edriss Saleh 58 Braides, Andrea 58 Dal Maso, Gianni 58 Hamel, François 58 Lasiecka, Irena 58 Lin, Chang-Shou 58 Squassina, Marco 58 Steinmann, Paul 58 Zhou, Yong 57 Dolbeault, Jean 57 Hayat, Tasawar 57 Jiang, Song 57 Kukavica, Igor 57 Nazarov, Sergeĭ Aleksandrovich 57 Novotný, Antonín 57 Ortiz, Michael 56 Cao, Daomin 56 Joseph, Daniel D. 56 Miranville, Alain M. 56 Roubíček, Tomáš 56 Toscani, Giuseppe 55 Del Pino, Manuel A. 55 Fabrizio, Mauro 55 Payne, Lawrence Edward 55 Peletier, Lambertus Adrianus 55 Perthame, Benoît 55 Wang, Zhi-Qiang 54 Muñoz Rivera, Jaime Edilberto 54 Stefanelli, Ulisse 54 Wang, Dehua 54 Zhan, Huashui 53 Do Ó, João M. Bezerra 53 Fusco, Nicola 53 Liu, Yue 52 Colombo, Rinaldo M. 52 Laurençot, Philippe 52 Li, Fucai 51 Duan, Renjun ...and 37,336 more Authors
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### Cited in 1,011 Journals

 3,569 Journal of Differential Equations 3,160 Archive for Rational Mechanics and Analysis 2,903 Journal of Mathematical Analysis and Applications 1,873 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,179 Calculus of Variations and Partial Differential Equations 1,051 ZAMP. Zeitschrift für angewandte Mathematik und Physik 894 Communications in Partial Differential Equations 876 Journal of Mathematical Physics 864 Journal of Functional Analysis 808 Communications in Mathematical Physics 796 SIAM Journal on Mathematical Analysis 792 Acta Mechanica 751 Journal of Elasticity 745 Discrete and Continuous Dynamical Systems 735 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 708 Computer Methods in Applied Mechanics and Engineering 692 Applicable Analysis 684 Nonlinear Analysis. Real World Applications 661 Nonlinear Analysis. Theory, Methods & Applications 636 Transactions of the American Mathematical Society 594 Journal de Mathématiques Pures et Appliquées. Neuvième Série 579 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 556 Physica D 531 Mathematical Methods in the Applied Sciences 529 Annali di Matematica Pura ed Applicata. Serie Quarta 521 International Journal of Engineering Science 511 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 510 Mathematics and Mechanics of Solids 507 Proceedings of the American Mathematical Society 506 Applied Mathematics and Computation 489 Journal of the Mechanics and Physics of Solids 482 Journal of Computational Physics 470 Communications on Pure and Applied Analysis 464 Applied Mathematics Letters 458 Journal of Mathematical Fluid Mechanics 439 Computers & Mathematics with Applications 388 Journal of Fluid Mechanics 367 Comptes Rendus. Mathématique. Académie des Sciences, Paris 365 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 362 Numerische Mathematik 359 Journal of Nonlinear Science 353 Mathematische Annalen 352 Boundary Value Problems 351 Advances in Mathematics 341 Journal of Statistical Physics 339 Journal of Computational and Applied Mathematics 335 Continuum Mechanics and Thermodynamics 332 Discrete and Continuous Dynamical Systems. Series B 318 NoDEA. Nonlinear Differential Equations and Applications 312 Mathematische Zeitschrift 309 Journal of Dynamics and Differential Equations 306 European Journal of Mechanics. A. Solids 293 Nonlinearity 282 Journal of Mathematical Sciences (New York) 269 Meccanica 256 Acta Applicandae Mathematicae 253 Quarterly of Applied Mathematics 253 Journal of Evolution Equations 243 Manuscripta Mathematica 240 Mathematics of Computation 236 Applied Mathematics and Optimization 233 The Journal of Geometric Analysis 232 Discrete and Continuous Dynamical Systems. Series S 223 Applied Mathematical Modelling 221 Communications in Contemporary Mathematics 217 Communications on Pure and Applied Mathematics 215 Journal of Hyperbolic Differential Equations 202 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 199 Journal d’Analyse Mathématique 196 Computational Mechanics 189 Kinetic and Related Models 180 Science China. Mathematics 177 Abstract and Applied Analysis 176 Advances in Nonlinear Analysis 174 SIAM Journal on Applied Mathematics 168 Journal of Optimization Theory and Applications 166 Advanced Nonlinear Studies 166 Complex Variables and Elliptic Equations 164 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 163 Applied Numerical Mathematics 163 Journal of Scientific Computing 161 Wave Motion 160 Journal of Mathematical Biology 149 Chinese Annals of Mathematics. Series B 145 Duke Mathematical Journal 143 Acta Mathematica Sinica. English Series 140 European Journal of Applied Mathematics 132 Rendiconti del Seminario Matematico della Università di Padova 131 Journal of Approximation Theory 131 Journal of the European Mathematical Society (JEMS) 130 Acta Mathematica Scientia. Series B. (English Edition) 128 International Journal of Solids and Structures 128 Mathematical and Computer Modelling 127 Inventiones Mathematicae 125 Linear Algebra and its Applications 125 Advances in Calculus of Variations 124 Automatica 124 Monatshefte für Mathematik 124 Journal of Inequalities and Applications 123 Mathematical Notes ...and 911 more Journals
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### Cited in 63 Fields

 38,073 Partial differential equations (35-XX) 14,084 Fluid mechanics (76-XX) 10,949 Mechanics of deformable solids (74-XX) 5,150 Calculus of variations and optimal control; optimization (49-XX) 4,920 Numerical analysis (65-XX) 3,568 Statistical mechanics, structure of matter (82-XX) 3,523 Ordinary differential equations (34-XX) 3,172 Operator theory (47-XX) 2,905 Dynamical systems and ergodic theory (37-XX) 2,756 Biology and other natural sciences (92-XX) 2,157 Global analysis, analysis on manifolds (58-XX) 2,026 Probability theory and stochastic processes (60-XX) 1,977 Systems theory; control (93-XX) 1,974 Differential geometry (53-XX) 1,754 Functional analysis (46-XX) 1,545 Mechanics of particles and systems (70-XX) 1,508 Classical thermodynamics, heat transfer (80-XX) 1,453 Integral equations (45-XX) 1,183 Optics, electromagnetic theory (78-XX) 1,159 Quantum theory (81-XX) 1,116 Real functions (26-XX) 849 Functions of a complex variable (30-XX) 778 Potential theory (31-XX) 753 Harmonic analysis on Euclidean spaces (42-XX) 610 Operations research, mathematical programming (90-XX) 509 Geophysics (86-XX) 453 Approximations and expansions (41-XX) 422 Relativity and gravitational theory (83-XX) 421 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 398 Measure and integration (28-XX) 392 Linear and multilinear algebra; matrix theory (15-XX) 314 Information and communication theory, circuits (94-XX) 313 Computer science (68-XX) 230 Difference and functional equations (39-XX) 228 Convex and discrete geometry (52-XX) 199 Astronomy and astrophysics (85-XX) 189 Special functions (33-XX) 176 Several complex variables and analytic spaces (32-XX) 162 Statistics (62-XX) 154 General topology (54-XX) 129 Integral transforms, operational calculus (44-XX) 128 Combinatorics (05-XX) 122 Topological groups, Lie groups (22-XX) 120 History and biography (01-XX) 104 Manifolds and cell complexes (57-XX) 82 General and overarching topics; collections (00-XX) 78 Abstract harmonic analysis (43-XX) 78 Algebraic topology (55-XX) 63 Associative rings and algebras (16-XX) 61 Geometry (51-XX) 58 Number theory (11-XX) 57 Group theory and generalizations (20-XX) 53 Algebraic geometry (14-XX) 37 Nonassociative rings and algebras (17-XX) 33 Mathematical logic and foundations (03-XX) 26 Commutative algebra (13-XX) 23 Category theory; homological algebra (18-XX) 22 Sequences, series, summability (40-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 14 Field theory and polynomials (12-XX) 9 $$K$$-theory (19-XX) 5 Mathematics education (97-XX) 1 General algebraic systems (08-XX)