# zbMATH — the first resource for mathematics

## 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: 4,755 Publications (since 1957) References Indexed: 4,234 Publications with 97,605 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 26 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 Peletier, Lambertus Adrianus 21 Caffarelli, Luis Ángel 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 Cohen, Harley 17 Marsden, Jerrold Eldon 17 Velázquez, Juan J. L. 16 Antman, Stuart S. 16 Feireisl, Eduard 16 Fosdick, Roger L. 16 Guo, Yan 16 Vazquez, Juan Luis 16 Yang, Tong 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, Ping 14 Bowen, Ray M. 14 Dal Maso, Gianni 14 Fife, Paul C. 14 Knops, Robin J. 14 Müller, Ingo 14 Naghdi, Paul Mansour 14 Renardy, Michael 14 Zhang, Zhifei 13 Bressan, Alberto 13 Brézis, Haïm 13 Chen, Peter J. 13 Edelen, Dominic Gardiner Bowling 13 Mingione, Giuseppe 13 Williams, William O. 12 Bhattacharya, Kaushik 12 Lions, Pierre-Louis 12 Ortiz, Michael 12 Pipkin, Allen C. 12 Terracini, Susanna 12 Toland, John Francis 12 Truesdell, Clifford Ambrose III 11 Ball, John M. 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 Wilcox, Calvin H. 11 Yu, Shih-Hsien 10 Dafermos, Constantine M. 10 Duffin, Richard James 10 Freistühler, Heinrich 10 Frid, Hermano 10 Giga, Yoshikazu 10 Iwaniec, Tadeusz 10 Kim, Inwon Christina 10 Kristensen, Jan 10 Liu, Tai-Ping 10 Perthame, Benoît 10 Ryzhik, Lenya 10 Shinbrot, Marvin 10 Vasseur, Alexis F. 10 Wei, Juncheng 10 Zuazua, Enrique 9 Beirão da Veiga, Hugo 9 Cesari, Lamberto 9 Chen, Xinfu 9 Ciarlet, Philippe Gaston 9 Constantin, Adrian 9 Garroni, Adriana 9 Hale, Jack Kenneth 9 Horgan, Cornelius Oliver 9 James, Richard D. 9 Knightly, George H. ...and 3,641 more Authors
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#### Fields

 2,266 Partial differential equations (35-XX) 1,262 Fluid mechanics (76-XX) 915 Mechanics of deformable solids (74-XX) 376 Calculus of variations and optimal control; optimization (49-XX) 356 Statistical mechanics, structure of matter (82-XX) 181 Mechanics of particles and systems (70-XX) 150 Ordinary differential equations (34-XX) 141 Classical thermodynamics, heat transfer (80-XX) 126 Dynamical systems and ergodic theory (37-XX) 117 Differential geometry (53-XX) 107 Operator theory (47-XX) 105 Optics, electromagnetic theory (78-XX) 90 Global analysis, analysis on manifolds (58-XX) 76 Integral equations (45-XX) 76 Probability theory and stochastic processes (60-XX) 71 Quantum theory (81-XX) 65 Functional analysis (46-XX) 61 Biology and other natural sciences (92-XX) 60 Numerical analysis (65-XX) 55 Real functions (26-XX) 43 Functions of a complex variable (30-XX) 40 Geophysics (86-XX) 37 Measure and integration (28-XX) 36 Potential theory (31-XX) 35 Relativity and gravitational theory (83-XX) 34 Astronomy and astrophysics (85-XX) 32 Systems theory; control (93-XX) 17 Operations research, mathematical programming (90-XX) 15 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) 10 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) 6 Several complex variables and analytic spaces (32-XX) 6 Integral transforms, operational calculus (44-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 2 Category theory; homological algebra (18-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH Open

4,363 Publications have been cited 100,817 times in 57,216 Documents Cited by Year
Nonlinear scalar field equations. I: Existence of a ground state. Zbl 0533.35029
Berestycki, Henri; Lions, Pierre-Louis
1983
Convexity conditions and existence theorems in nonlinear elasticity. Zbl 0368.73040
Ball, John M.
1977
Micro-structure in linear elasticity. Zbl 0119.40302
Mindlin, R. D.
1964
Uniqueness of positive solutions of $$\Delta u-u+u^ p=0$$ in $$R^ n$$. Zbl 0676.35032
Kwong, Man Kam
1989
Elastic materials with couple-stresses. Zbl 0112.16805
Toupin, R. A.
1962
A symmetry problem in potential theory. Zbl 0222.31007
Serrin, James
1971
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
1964
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
1975
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
2009
The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035
Fife, Paul C.; McLeod, J. B.
1977
The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
Coleman, Bernard D.; Noll, Walter
1963
Dissipative dynamical systems. I: General theory. Zbl 0252.93002
Willems, Jan C.
1972
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
2007
Effects of couple-stresses in linear elasticity. Zbl 0112.38906
Mindlin, R. D.; Tierstein, H. F.
1962
Fine phase mixtures as minimizers of energy. Zbl 0629.49020
Ball, J. M.; James, R. D.
1987
On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302
Serrin, James
1962
A general theory of heat conduction with finite wave speeds. Zbl 0164.12901
Gurtin, M. E.; Pipkin, A. C.
1968
Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044
Crandall, Michael G.; Rabinowitz, Paul H.
1973
Asymptotic stability in viscoelasticity. Zbl 0214.24503
Dafermos, C. M.
1970
The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004
Modica, Luciano
1987
Regularity results for stationary electro-rheological fluids. Zbl 1038.76058
Acerbi, Emilio; Mingione, Giuseppe
2002
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
1975
Regularity results for a class of functionals with non-standard growth. Zbl 0984.49020
Acerbi, Emilio; Mingione, Giuseppe
2001
Theories of elasticity with couple-stress. Zbl 0131.22001
Toupin, R. A.
1964
Quasilinear Dirichlet problems driven by positive sources. Zbl 0266.34021
Joseph, D. D.; Lundgren, T. S.
1973
Non-linear age-dependent population dynamics. Zbl 0286.92005
Gurtin, Morton E.; MacCamy, Richard C.
1974
Semicontinuity problems in the calculus of variations. Zbl 0565.49010
Acerbi, Emilio; Fusco, Nicola
1984
Inéquations en thermoélasticité et magnétohydrodynamique. Zbl 0264.73027
Duvaut, G.; Lions, J. L.
1972
Some constitutive equations for liquid crystals. Zbl 0159.57101
Leslie, F. M.
1968
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
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
A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303
Noll, Walter
1958
Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046
Berestycki, Henri; Lions, Pierre-Louis
1983
Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601
Browder, F. E.
1967
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
An optimal Poincaré inequality for convex domains. Zbl 0099.08402
Payne, L. E.; Weinberger, H. F.
1960
Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260
Ma, Li; Zhao, Lin
2010
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
1983
$$L^ 2$$ decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031
Schonbek, Maria Elena
1985
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
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
1985
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
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
A nonlinear theory of elastic materials with voids. Zbl 0444.73018
Nunziato, Jace W.; Cowin, Stephen C.
1979
On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016
1992
Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Zbl 0789.35008
Jensen, Robert
1993
On global solution of nonlinear hyperbolic equations. Zbl 0159.39102
Sattinger, D. H.
1968
Caractérisation de quelques espaces d’interpolation. Zbl 0187.05901
Grisvard, P.
1967
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
2006
On the thermomechanics of interstitial working. Zbl 0582.73004
Dunn, J. E.; Serrin, J.
1985
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
1996
Regularity for double phase variational problems. Zbl 1322.49065
Colombo, Maria; Mingione, Giuseppe
2015
A continuum theory for granular materials. Zbl 0243.76005
Goodman, M. A.; Cowin, S. C.
1972
Multipolar continuum mechanics. Zbl 0133.17604
Green, A. E.; Rivlin, R. S.
1964
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
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
Hydrostatic theory of liquid crystals. Zbl 0105.23403
Ericksen, J. L.
1962
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
Giga, Yoshikazu; Miyakawa, Tetsuro
1985
The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021
Sternberg, Peter
1988
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
1967
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
Dissipative dynamical systems. II: Linear systems with quadratic supply rates. Zbl 0252.93003
Willems, Jan C.
1972
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
Aronson, D. G.; Serrin, J.
1967
Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082
Slemrod, M.
1983
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
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Zbl 0912.45011
Villani, Cédric
1998
Existence and stability of solutions of a delay-differential system. Zbl 0105.30401
Driver, Rodney D.
1962
Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003
Liu, I-Shih
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
Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105
Carrillo, José A.; McCann, Robert J.; Villani, Cédric
2006
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
2001
On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138
De Lellis, Camillo; Székelyhidi, László jun.
2010
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
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
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 a class of evolution equations with dissipation. Zbl 0934.35101
Vitillaro, Enzo
1999
Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory. Zbl 0145.36902
Ikebe, T.
1960
Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078
Byeon, Jaeyoung; Jeanjean, Louis
2007
Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024
Brézis, Haïm; Coron, Jean-Michel
1985
Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096
Levine, Howard A.; Serrin, James
1997
Certain non-steady flows of second-order fluids. Zbl 0139.20105
Ting, T. W.
1963
The second law of thermodynamics and stability. Zbl 0448.73004
Dafermos, C. M.
1979
Existence theorem for a minimum problem with free discontinuity set. Zbl 0682.49002
De Giorgi, E.; Carriero, M.; Leaci, A.
1989
Integral estimates for null Lagrangians. Zbl 0793.58002
1993
The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations. Zbl 0708.35019
Jensen, Robert
1988
On a class of conservation laws in linearized and finite elastostatics. Zbl 0232.73017
Knowles, J. K.; Sternberg, Eli
1972
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
2021
Continued gravitational collapse for Newtonian stars. Zbl 07298829
Guo, Yan; Hadžić, Mahir; Jang, Juhi
2021
Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions. Zbl 1456.76134
Duerinckx, Mitia; Gloria, Antoine
2021
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375
Ignat, R.; Jerrard, R. L.
2021
Traveling quasi-periodic water waves with constant vorticity. Zbl 1462.35262
Berti, Massimiliano; Franzoi, Laura; Maspero, Alberto
2021
Regularity for $$C^{1, \alpha}$$ interface transmission problems. Zbl 1467.35169
Caffarelli, Luis Ángel; Soria-Carro, María; Stinga, Pablo Raúl
2021
On the free surface motion of highly subsonic heat-conducting inviscid flows. Zbl 1464.76047
Luo, Tao; Zeng, Huihui
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
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 07298830
Zeng, Huihui
2021
Large KAM tori for quasi-linear perturbations of KdV. Zbl 1462.35329
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo
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
Anticipation breeds alignment. Zbl 07331721
2021
Hard spheres dynamics: weak vs strong collisions. Zbl 07331722
Serre, Denis
2021
Derivation of the Landau-Pekar equations in a many-body mean-field limit. Zbl 07331726
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
Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035
Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd
2021
Crystallization to the square lattice for a two-body potential. Zbl 1465.74008
Bétermin, Laurent; De Luca, Lucia; Petrache, Mircea
2021
Nernst-Planck-Navier-Stokes systems far from equilibrium. Zbl 07340114
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
2021
On the Serrin-type condition on one velocity component for the Navier-Stokes equations. Zbl 07357860
Chae, D.; Wolf, J.
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
Bounded solutions of ideal MHD with compact support in space-time. Zbl 1462.76208
Faraco, Daniel; Lindberg, Sauli; Székelyhidi, László jun.
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
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
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
Global existence and the decay of solutions to the Prandtl system with small analytic data. Zbl 07364837
Paicu, Marius; Zhang, Ping
2021
On the long-time behavior of dissipative solutions to models of non-Newtonian compressible fluids. Zbl 07364839
Feireisl, Eduard; Kwon, Young-Sam; Novotný, Antonín
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 07364847
Liu, Xin; Titi, Edriss S.
2021
Two-dimensional pseudosteady flows around a sharp corner. Zbl 07364849
Lai, Geng; Sheng, Wancheng
2021
Global solutions to the compressible Euler equations with heat transport by convection around Dyson’s isothermal affine solutions. Zbl 07364852
Rickard, Calum
2021
Topological singular set of vector-valued maps. II: $$\varGamma$$-convergence for Ginzburg-Landau type functionals. Zbl 1467.58004
Canevari, Giacomo; Orlandi, Giandomenico
2021
Mean-field limits: from particle descriptions to macroscopic equations. Zbl 07373893
Carrillo, José A.; Choi, Young-Pil
2021
Rigidity of branching microstructures in shape memory alloys. Zbl 07373896
Simon, Theresa M.
2021
Solution semiflow to the isentropic Euler system. Zbl 1441.35164
Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina
2020
Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge. Zbl 1434.35234
2020
Gluing methods for vortex dynamics in Euler flows. Zbl 1439.35382
Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng
2020
Weak solutions for some compressible multicomponent fluid models. Zbl 1434.35062
Novotný, Antonín; Pokorný, Milan
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
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 regularity criterion for the Navier-Stokes equation involving only the middle eigenvalue of the strain tensor. Zbl 1434.35060
Miller, Evan
2020
Paralinearization of the Muskat equation and application to the Cauchy problem. Zbl 1437.35563
Alazard, Thomas; Lazar, Omar
2020
A paradifferential approach for well-posedness of the Muskat problem. Zbl 1437.35588
2020
Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Zbl 1439.82006
Deuchert, Andreas; Seiringer, Robert
2020
Convergence and non-convergence of many-particle evolutions with multiple signs. Zbl 1434.82082
Garroni, A.; Van Meurs, P.; Peletier, M. A.; Scardia, L.
2020
On the effects of advection and vortex stretching. Zbl 1434.35091
Elgindi, Tarek M.; Jeong, In-Jee
2020
Stabilization for the wave equation with singular Kelvin-Voigt damping. Zbl 1436.93113
Ammari, Kaïs; Hassine, Fathi; Robbiano, Luc
2020
Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues. Zbl 1435.35390
Bubba, Federica; Perthame, Benoît; Pouchol, Camille; Schmidtchen, Markus
2020
Large time behavior of the Vlasov-Navier-Stokes system on the torus. Zbl 1436.35043
Han-Kwan, Daniel; Moussa, Ayman; Moyano, Iván
2020
On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model. Zbl 1434.35243
Deng, Youjun; Li, Jinhong; Liu, Hongyu
2020
Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole. Zbl 1434.35223
Fournodavlos, Grigorios; Sbierski, Jan
2020
Sonic-supersonic solutions for the two-dimensional steady full Euler equations. Zbl 1437.35486
Hu, Yanbo; Li, Jiequan
2020
$$C^\infty$$ smoothing for weak solutions of the inhomogeneous Landau equation. Zbl 1435.35101
Henderson, Christopher; Snelson, Stanley
2020
Analysis of the viscosity of dilute suspensions beyond Einstein’s formula. Zbl 1454.76101
Gérard-Varet, David; Hillairet, Matthieu
2020
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
2020
Exact constructions in the (non-linear) planar theory of elasticity: from elastic crystals to nematic elastomers. Zbl 1434.74059
Cesana, Pierluigi; Della Porta, Francesco; Rüland, Angkana; Zillinger, Christian; Zwicknagl, Barbara
2020
On traffic flow with nonlocal flux: a relaxation representation. Zbl 1446.35072
Bressan, Alberto; Shen, Wen
2020
Stability of the Laughlin phase against long-range interactions. Zbl 1441.82019
Olgiati, Alessandro; Rougerie, Nicolas
2020
Functionals defined on piecewise rigid functions: integral representation and $$\Gamma$$-convergence. Zbl 1436.49016
Friedrich, Manuel; Solombrino, Francesco
2020
A resolution of the Poisson problem for elastic plates. Zbl 1439.49076
Da Lio, Francesca; Palmurella, Francesco; Rivière, Tristan
2020
Linear inviscid damping in Gevrey spaces. Zbl 1434.35079
Jia, Hao
2020
Vanishing distance phenomena and the geometric approach to SQG. Zbl 1434.35084
Bauer, Martin; Harms, Philipp; Preston, Stephen C.
2020
$$L^\infty$$ ill-posedness for a class of equations arising in hydrodynamics. Zbl 07170065
2020
Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability. Zbl 1451.35107
Gazzola, Filippo; Sperone, Gianmarco
2020
Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations. Zbl 1447.35257
García, Claudia; Hmidi, Taoufik; Soler, Juan
2020
Weak solutions for Navier-Stokes equations with initial data in weighted $$L^2$$ spaces. Zbl 1434.35050
Fernández-Dalgo, Pedro Gabriel; Lemarié-Rieusset, Pierre Gilles
2020
The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. Zbl 1437.35539
Kukavica, Igor; Vicol, Vlad; Wang, Fei
2020
Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity. Zbl 1457.49010
Crismale, Vito; Friedrich, Manuel
2020
Decay and vanishing of some D-solutions of the Navier-Stokes equations. Zbl 1442.35295
Carrillo, Bryan; Pan, Xinghong; Zhang, Qi S.; Zhao, Na
2020
Thermoviscoelasticity in Kelvin-Voigt rheology at large strains. Zbl 1444.74012
Mielke, Alexander; Roubíček, Tomáš
2020
Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow. Zbl 1445.35247
Chen, Gui-Qiang G.; Feldman, Mikhail; Xiang, Wei
2020
Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains. Zbl 1446.35100
Hishida, Toshiaki
2020
Chazy-type asymptotics and hyperbolic scattering for the $$n$$-body problem. Zbl 1464.70007
Duignan, Nathan; Moeckel, Richard; Montgomery, Richard; Yu, Guowei
2020
Flocking hydrodynamics with external potentials. Zbl 1448.76178
2020
The Landau equation with the specular reflection boundary condition. Zbl 1437.35161
Guo, Yan; Hwang, Hyung Ju; Jang, Jin Woo; Ouyang, Zhimeng
2020
Existence and regularity of spheres minimising the Canham-Helfrich energy. Zbl 1436.30033
Mondino, Andrea; Scharrer, Christian
2020
Localized smoothing for the Navier-Stokes equations and concentration of critical norms near singularities. Zbl 1439.35363
Barker, Tobias; Prange, Christophe
2020
Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models. Zbl 1433.74078
Lewicka, Marta
2020
A model problem for nematic-isotropic transitions with highly disparate elastic constants. Zbl 1437.35271
Golovaty, Dmitry; Novack, Michael; Sternberg, Peter; Venkatraman, Raghavendra
2020
Global solutions of 3-d Navier-Stokes system with small unidirectional derivative. Zbl 1435.35280
Liu, Yanlin; Zhang, Ping
2020
From the relativistic mixture of gases to the relativistic Cucker-Smale flocking. Zbl 1439.35397
Ha, Seung-Yeal; Kim, Jeongho; Ruggeri, Tommaso
2020
Theoretical justification and error analysis for slender body theory with free ends. Zbl 1458.76035
Mori, Yoichiro; Ohm, Laurel; Spirn, Daniel
2020
A high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystals. Zbl 1466.74035
Ammari, Habib; Hiltunen, Erik Orvehed; Yu, Sanghyeon
2020
Suitable weak solutions for the co-rotational Beris-Edwards system in dimension three. Zbl 1446.35123
Du, Hengrong; Hu, Xianpeng; Wang, Changyou
2020
On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type. Zbl 1446.35179
Ammari, Z.; Liard, Q.; Rouffort, C.
2020
High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat. Zbl 1442.82011
Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya; Spohn, Herbert
2020
Higher-order linearization and regularity in nonlinear homogenization. Zbl 1442.35131
Armstrong, Scott; Ferguson, Samuel J.; Kuusi, Tuomo
2020
Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity. Zbl 1437.35540
Li, Jinkai
2020
Viscous flow past a body translating by time-periodic motion with zero average. Zbl 1442.35336
Galdi, Giovanni P.
2020
Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals. Zbl 1444.76017
Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir
2020
Transition threshold for the 2-D Couette flow in a finite channel. Zbl 1446.35094
Chen, Qi; Li, Te; Wei, Dongyi; Zhang, Zhifei
2020
Weak regularity of the inverse under minimal assumptions. Zbl 1443.26007
Hencl, Stanislav; Kauranen, Aapo; Luisto, Rami
2020
Deformations of bi-conformal energy and a new characterization of quasiconformality. Zbl 1436.30016
Iwaniec, Tadeusz; Onninen, Jani; Zhu, Zheng
2020
Stability of hydraulic shock profiles. Zbl 1430.35157
Yang, Zhao; Zumbrun, Kevin
2020
Existence of non-convex traveling waves for surface diffusion of curves with constant contact angles. Zbl 1432.35105
Kagaya, Takashi; Kohsaka, Yoshihito
2020
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#### Cited by 33,383 Authors

 149 Wei, Juncheng 118 Feireisl, Eduard 109 Yang, Tong 106 Vazquez, Juan Luis 105 Carrillo de la Plata, José Antonio 95 Gurtin, Morton Edward 94 Rajagopal, Kumbakonam Ramamani 93 Zumbrun, Kevin R. 91 Yin, Zhaoyang 87 Quintanilla de Latorre, Ramón 86 Rossi, Julio Daniel 86 Tan, Zhong 82 Chen, Gui-Qiang G. 82 Xin, Zhouping 80 Marsden, Jerrold Eldon 80 Valdinoci, Enrico 79 Guo, Boling 78 Friedman, Avner 78 Rădulescu, Vicenţiu D. 77 Alves, Claudianor Oliveira 75 Papageorgiou, Nikolaos S. 74 Fan, Jishan 72 Ammari, Habib M. 71 Conti, Sergio 71 Winkler, Michael 70 Li, Wan-Tong 70 Yao, Zhengan 69 Messaoudi, Salim A. 68 Lions, Pierre-Louis 68 Mielke, Alexander 68 Mingione, Giuseppe 67 Zhao, Huijiang 67 Zhu, Changjiang 66 Zhang, Zhifei 65 Coleman, Bernard David 65 Tang, Xianhua 64 Caffarelli, Luis Ángel 64 Masmoudi, Nader 64 Nečasová, Šárka 63 Novaga, Matteo 62 Figalli, Alessio 62 Fonseca, Irene 62 Ha, Seung-Yeal 62 Mu, Chunlai 62 Neff, Patrizio 62 Wu, Jiahong 61 Ciarlet, Philippe Gaston 61 Giga, Yoshikazu 60 Galdi, Giovanni Paolo 60 Müller, Stefan 59 Byun, Sun-Sig 59 LeFloch, Philippe Gerard 58 Gazzola, Filippo 58 Lin, Chang-Shou 58 Temam, Roger Meyer 58 Véron, Laurent 58 Wang, Shu 58 Zou, Wenming 57 Straughan, Brian 56 Dong, Hongjie 56 Hayat, Tasawar 56 Joseph, Daniel D. 56 Lasiecka, Irena 56 Nazarov, Sergeĭ Aleksandrovich 56 Zuazua, Enrique 55 Fabrizio, Mauro 55 Payne, Lawrence Edward 55 Peletier, Lambertus Adrianus 55 Squassina, Marco 55 Zhang, Ping 54 Braides, Andrea 54 Dal Maso, Gianni 54 Del Pino, Manuel A. 54 Toscani, Giuseppe 53 Miranville, Alain M. 53 Roubíček, Tomáš 53 Steinmann, Paul 53 Titi, Edriss Saleh 52 Dolbeault, Jean 52 Fusco, Nicola 52 Jiang, Song 52 Kukavica, Igor 52 Muñoz Rivera, Jaime Edilberto 52 Wang, Zhi-Qiang 51 Hamel, François 51 Liu, Jianguo 51 Zhou, Yong 50 Ambrosio, Luigi 50 Do Ó, João M. Bezerra 50 Novotný, Antonín 50 Perthame, Benoît 49 Colombo, Rinaldo M. 49 Iesan, Dorin 49 Ortiz, Michael 49 Stefanelli, Ulisse 48 Antman, Stuart S. 48 Chen, Xinfu 48 Wang, Dehua 48 Zhang, Ting 47 Cao, Daomin ...and 33,283 more Authors
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#### Cited in 931 Journals

 3,260 Journal of Differential Equations 3,032 Archive for Rational Mechanics and Analysis 2,742 Journal of Mathematical Analysis and Applications 1,746 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,018 Calculus of Variations and Partial Differential Equations 938 ZAMP. Zeitschrift für angewandte Mathematik und Physik 830 Communications in Partial Differential Equations 829 Journal of Mathematical Physics 784 Journal of Functional Analysis 761 Communications in Mathematical Physics 721 Acta Mechanica 713 Journal of Elasticity 708 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 669 Discrete and Continuous Dynamical Systems 659 Nonlinear Analysis. Theory, Methods & Applications 644 SIAM Journal on Mathematical Analysis 630 Computer Methods in Applied Mechanics and Engineering 617 Transactions of the American Mathematical Society 583 Applicable Analysis 573 Nonlinear Analysis. Real World Applications 547 Journal de Mathématiques Pures et Appliquées. Neuvième Série 532 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 531 Mathematical Methods in the Applied Sciences 500 Annali di Matematica Pura ed Applicata. Serie Quarta 494 International Journal of Engineering Science 488 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 484 Physica D 467 Proceedings of the American Mathematical Society 463 Applied Mathematics and Computation 453 Mathematics and Mechanics of Solids 426 Journal of the Mechanics and Physics of Solids 416 Computers & Mathematics with Applications 392 Journal of Computational Physics 385 Applied Mathematics Letters 371 Journal of Fluid Mechanics 364 Communications on Pure and Applied Analysis 358 Journal of Mathematical Fluid Mechanics 349 Comptes Rendus. Mathématique. Académie des Sciences, Paris 345 Numerische Mathematik 335 Continuum Mechanics and Thermodynamics 334 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 317 Journal of Computational and Applied Mathematics 307 Journal of Statistical Physics 306 Mathematische Annalen 305 Advances in Mathematics 302 Journal of Nonlinear Science 295 Mathematische Zeitschrift 274 NoDEA. Nonlinear Differential Equations and Applications 274 European Journal of Mechanics. A. Solids 269 Journal of Dynamics and Differential Equations 266 Meccanica 263 Nonlinearity 259 Journal of Mathematical Sciences (New York) 245 Discrete and Continuous Dynamical Systems. Series B 236 Quarterly of Applied Mathematics 233 Manuscripta Mathematica 224 Mathematics of Computation 224 Acta Applicandae Mathematicae 224 Boundary Value Problems 217 Communications on Pure and Applied Mathematics 206 Communications in Contemporary Mathematics 199 Journal of Hyperbolic Differential Equations 190 Journal d’Analyse Mathématique 181 Journal of Evolution Equations 179 Applied Mathematics and Optimization 175 Applied Mathematical Modelling 175 Abstract and Applied Analysis 166 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 165 The Journal of Geometric Analysis 165 Discrete and Continuous Dynamical Systems. Series S 164 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 163 Computational Mechanics 162 Journal of Optimization Theory and Applications 156 Science China. Mathematics 152 SIAM Journal on Applied Mathematics 151 Applied Numerical Mathematics 150 Journal of Scientific Computing 149 Journal of Mathematical Biology 143 Kinetic and Related Models 141 Wave Motion 139 Chinese Annals of Mathematics. Series B 137 Duke Mathematical Journal 135 Advanced Nonlinear Studies 132 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 Complex Variables and Elliptic Equations 125 Advances in Nonlinear Analysis 122 Mathematische Nachrichten 121 Applied Mathematics and Mechanics. (English Edition) 120 Linear Algebra and its Applications 120 Journal of the European Mathematical Society (JEMS) 115 Acta Mathematicae Applicatae Sinica. English Series 114 Mathematical Notes 110 Inventiones Mathematicae 110 Systems & Control Letters 109 Rocky Mountain Journal of Mathematics 108 Automatica ...and 831 more Journals
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#### Cited in 63 Fields

 32,914 Partial differential equations (35-XX) 12,181 Fluid mechanics (76-XX) 9,889 Mechanics of deformable solids (74-XX) 4,641 Calculus of variations and optimal control; optimization (49-XX) 4,266 Numerical analysis (65-XX) 3,348 Ordinary differential equations (34-XX) 3,122 Statistical mechanics, structure of matter (82-XX) 2,846 Operator theory (47-XX) 2,614 Dynamical systems and ergodic theory (37-XX) 2,358 Biology and other natural sciences (92-XX) 1,966 Global analysis, analysis on manifolds (58-XX) 1,722 Differential geometry (53-XX) 1,710 Systems theory; control (93-XX) 1,673 Probability theory and stochastic processes (60-XX) 1,541 Functional analysis (46-XX) 1,433 Mechanics of particles and systems (70-XX) 1,374 Classical thermodynamics, heat transfer (80-XX) 1,329 Integral equations (45-XX) 1,019 Optics, electromagnetic theory (78-XX) 978 Quantum theory (81-XX) 897 Real functions (26-XX) 747 Functions of a complex variable (30-XX) 677 Potential theory (31-XX) 624 Harmonic analysis on Euclidean spaces (42-XX) 539 Operations research, mathematical programming (90-XX) 421 Approximations and expansions (41-XX) 400 Geophysics (86-XX) 363 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 358 Linear and multilinear algebra; matrix theory (15-XX) 355 Relativity and gravitational theory (83-XX) 334 Measure and integration (28-XX) 270 Information and communication theory, circuits (94-XX) 231 Computer science (68-XX) 202 Difference and functional equations (39-XX) 194 Convex and discrete geometry (52-XX) 177 Astronomy and astrophysics (85-XX) 174 Special functions (33-XX) 159 Several complex variables and analytic spaces (32-XX) 141 General topology (54-XX) 123 Statistics (62-XX) 113 Integral transforms, operational calculus (44-XX) 112 Topological groups, Lie groups (22-XX) 109 History and biography (01-XX) 96 Manifolds and cell complexes (57-XX) 93 Combinatorics (05-XX) 72 Algebraic topology (55-XX) 68 Abstract harmonic analysis (43-XX) 65 General and overarching topics; collections (00-XX) 51 Geometry (51-XX) 48 Algebraic geometry (14-XX) 47 Associative rings and algebras (16-XX) 46 Group theory and generalizations (20-XX) 45 Number theory (11-XX) 36 Nonassociative rings and algebras (17-XX) 27 Mathematical logic and foundations (03-XX) 22 Commutative algebra (13-XX) 22 Category theory; homological algebra (18-XX) 19 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)