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Archive for Rational Mechanics and Analysis

Short Title: Arch. Ration. Mech. Anal.
Publisher: Springer, Berlin/Heidelberg
ISSN: 0003-9527; 1432-0673/e
Online: https://link.springer.com/journal/205/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 5,013 Publications (since 1957)
References Indexed: 4,491 Publications with 108,685 References.
all top 5

Latest Issues

248, No. 2 (2024)
248, No. 1 (2024)
247, No. 6 (2023)
247, No. 5 (2023)
247, No. 4 (2023)
247, No. 3 (2023)
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247, No. 1 (2023)
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224, No. 3 (2017)
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220, No. 3 (2016)
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220, No. 1 (2016)
219, No. 3 (2016)
219, No. 2 (2016)
219, No. 1 (2016)
218, No. 3 (2015)
218, No. 2 (2015)
218, No. 1 (2015)
217, No. 3 (2015)
217, No. 2 (2015)
217, No. 1 (2015)
216, No. 3 (2015)
216, No. 2 (2015)
216, No. 1 (2015)
...and 533 more Volumes
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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 Ross
26 Rivlin, Ronald Samuel
26 Zumbrun, Kevin R.
25 Ericksen, Jerald Laverne
23 Mizel, Victor J.
22 Caffarelli, Luis Ángel
22 Peletier, Lambertus Adrianus
21 Conti, Sergio
21 Guo, Yan
20 Fonseca, Irene
19 Noll, Walter
19 Payne, Lawrence Edward
19 Xin, Zhouping
18 Green, Albert E.
18 McLeod, John Bryce
18 Slemrod, Marshall
18 Smoller, Joel Alan
18 Velázquez, Juan J. L.
18 Yang, Tong
17 Antman, Stuart S.
17 Cohen, Harley
17 Feireisl, Eduard
17 Marsden, Jerrold Eldon
17 Masmoudi, Nader
17 Zhang, Ping
17 Zhang, Zhifei
16 Fosdick, Roger L.
16 Vazquez, Juan Luis
15 Iooss, Gérard
15 LeFloch, Philippe Gerard
15 Mingione, Giuseppe
15 Müller, Stefan
15 Sather, Duane
15 Sternberg, Eli
15 Tzavaras, Athanasios E.
14 Bowen, Ray M.
14 Bressan, Alberto
14 Dal Maso, Gianni
14 Fife, Paul C.
14 Knops, Robin J.
14 Müller, Ingo
14 Naghdi, Paul Mansour
14 Ortiz, Michael
14 Renardy, Michael
13 Brézis, Haïm
13 Chen, Peter J.
13 Edelen, Dominic Gardiner Bowling
13 Greenberg, James M.
13 Mielke, Alexander
13 Ryzhik, Lenya
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 Toland, John Francis
12 Truesdell, Clifford Ambrose III
12 Wei, Juncheng
12 Yu, Shih-Hsien
11 Ball, John MacLeod
11 Figalli, Alessio
11 Hayes, Michael Alphonsus
11 Huang, Feimin
11 Liu, Tai-Ping
11 Redheffer, Raymond M.
11 Schiffer, Menahem Max
11 Šilhavý, Miroslav
11 Spector, Scott J.
11 Toupin, Richard A.
11 Vasseur, Alexis F.
11 Virga, Epifanio G.
11 Wilcox, Calvin H.
10 Braides, Andrea
10 Chen, Xinfu
10 Constantin, Adrian
10 Dafermos, Constantine
10 Dong, Hongjie
10 Duffin, Richard James
10 Evans, Lawrence Craig
10 Freistühler, Heinrich
10 Frid, Hermano
10 Gloria, Antoine
10 Iwaniec, Tadeusz
10 Jang, Juhi
10 Lin, Fang Hua
10 Morini, Massimiliano
10 Novaga, Matteo
10 Perthame, Benoît
...and 3,898 more Authors
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Fields

2,474 Partial differential equations (35-XX)
1,359 Fluid mechanics (76-XX)
937 Mechanics of deformable solids (74-XX)
412 Calculus of variations and optimal control; optimization (49-XX)
391 Statistical mechanics, structure of matter (82-XX)
190 Mechanics of particles and systems (70-XX)
154 Ordinary differential equations (34-XX)
146 Classical thermodynamics, heat transfer (80-XX)
135 Differential geometry (53-XX)
134 Dynamical systems and ergodic theory (37-XX)
117 Operator theory (47-XX)
117 Optics, electromagnetic theory (78-XX)
101 Global analysis, analysis on manifolds (58-XX)
89 Probability theory and stochastic processes (60-XX)
83 Quantum theory (81-XX)
79 Integral equations (45-XX)
67 Functional analysis (46-XX)
64 Biology and other natural sciences (92-XX)
63 Numerical analysis (65-XX)
58 Real functions (26-XX)
47 Functions of a complex variable (30-XX)
46 Geophysics (86-XX)
42 Relativity and gravitational theory (83-XX)
40 Measure and integration (28-XX)
40 Potential theory (31-XX)
39 Astronomy and astrophysics (85-XX)
37 Systems theory; control (93-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
17 Operations research, mathematical programming (90-XX)
16 Special functions (33-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
13 Approximations and expansions (41-XX)
12 Group theory and generalizations (20-XX)
11 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 Difference and functional equations (39-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 Algebraic topology (55-XX)
4 Combinatorics (05-XX)
3 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 Category theory; homological algebra (18-XX)
2 Statistics (62-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Geometry (51-XX)

Publications by Year

Citations contained in zbMATH Open

4,655 Publications have been cited 125,724 times in 69,608 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.
982
1977
Micro-structure in linear elasticity. Zbl 0119.40302
Mindlin, R. D.
968
1964
Elastic materials with couple-stresses. Zbl 0112.16805
Toupin, R. A.
746
1962
Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\). Zbl 0676.35032
Kwong, Man Kam
732
1989
A symmetry problem in potential theory. Zbl 0222.31007
Serrin, James
671
1971
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
658
1975
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
630
1964
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
Constantin, Adrian; Lannes, David
593
2009
The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035
Fife, Paul C.; McLeod, J. B.
561
1977
Effects of couple-stresses in linear elasticity. Zbl 0112.38906
Mindlin, R. D.; Tierstein, H. F.
547
1962
The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
Coleman, Bernard D.; Noll, Walter
531
1963
Dissipative dynamical systems. I: General theory. Zbl 0252.93002
Willems, Jan C.
515
1972
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
Bressan, Alberto; Constantin, Adrian
507
2007
A general theory of heat conduction with finite wave speeds. Zbl 0164.12901
Gurtin, M. E.; Pipkin, A. C.
497
1968
Asymptotic stability in viscoelasticity. Zbl 0214.24503
Dafermos, C. M.
496
1970
On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302
Serrin, James
483
1962
Fine phase mixtures as minimizers of energy. Zbl 0629.49020
Ball, J. M.; James, R. D.
450
1987
Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044
Crandall, Michael G.; Rabinowitz, Paul H.
436
1973
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
409
1975
Regularity results for stationary electro-rheological fluids. Zbl 1038.76058
Acerbi, Emilio; Mingione, Giuseppe
407
2002
The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004
Modica, Luciano
401
1987
Theories of elasticity with couple-stress. Zbl 0131.22001
Toupin, R. A.
392
1964
Regularity results for a class of functionals with non-standard growth. Zbl 0984.49020
Acerbi, Emilio; Mingione, Giuseppe
372
2001
Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260
Ma, Li; Zhao, Lin
354
2010
Inéquations en thermoélasticité et magnétohydrodynamique. Zbl 0264.73027
Duvaut, G.; Lions, J. L.
351
1972
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032
Marcellini, Paolo
347
1989
Quasilinear Dirichlet problems driven by positive sources. Zbl 0266.34021
Joseph, D. D.; Lundgren, T. S.
343
1973
Some constitutive equations for liquid crystals. Zbl 0159.57101
Leslie, F. M.
335
1968
Regularity for double phase variational problems. Zbl 1322.49065
Colombo, Maria; Mingione, Giuseppe
317
2015
Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046
Berestycki, Henri; Lions, Pierre-Louis
314
1983
Non-linear age-dependent population dynamics. Zbl 0286.92005
Gurtin, Morton E.; MacCamy, Richard C.
311
1974
Traveling waves in a convolution model for phase transitions. Zbl 0889.45012
Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng
310
1997
Sur l’approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Zbl 0207.16904
Témam, R.
309
1969
An analysis of a phase field model of a free boundary. Zbl 0608.35080
Caginalp, Gunduz
307
1986
Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Zbl 0090.17601
Kröner, Ekkehart
303
1960
Semicontinuity problems in the calculus of variations. Zbl 0565.49010
Acerbi, Emilio; Fusco, Nicola
302
1984
Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042
Ambrosetti, A.; Badiale, M.; Cingolani, S.
299
1997
An optimal Poincaré inequality for convex domains. Zbl 0099.08402
Payne, L. E.; Weinberger, H. F.
297
1960
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.
297
1973
\(L^ 2\) decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031
Schonbek, Maria Elena
295
1985
Bounded minimisers of double phase variational integrals. Zbl 1325.49042
Colombo, Maria; Mingione, Giuseppe
275
2015
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220
Winkler, Michael
272
2014
Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601
Browder, F. E.
266
1967
A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303
Noll, Walter
260
1958
A nonlinear theory of elastic materials with voids. Zbl 0444.73018
Nunziato, Jace W.; Cowin, Stephen C.
258
1979
On the Cahn-Hilliard equation. Zbl 0624.35048
Elliott, Charles M.; Zheng, Songmu
250
1986
On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016
Iwaniec, Tadeusz; Sbordone, Carlo
248
1992
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
248
1983
Estimates of harmonic measure. Zbl 0406.28009
Dahlberg, Björn E. J.
243
1977
On global solution of nonlinear hyperbolic equations. Zbl 0159.39102
Sattinger, D. H.
241
1968
On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138
De Lellis, Camillo; Székelyhidi, László jun.
229
2010
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
226
1985
An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403
Coleman, Bernard D.; Noll, Walter
226
1960
On the thermomechanics of interstitial working. Zbl 0582.73004
Dunn, J. E.; Serrin, J.
225
1985
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
221
2006
Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001
Dunn, J. Ernest; Fosdick, Roger L.
217
1974
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057
Crandall, Michael G.; Rabinowitz, Paul H.
216
1975
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
211
1972
Liquid crystal flows in two dimensions. Zbl 1346.76011
Lin, Fanghua; Lin, Junyu; Wang, Changyou
211
2010
A general theory of an elastic-plastic continuum. Zbl 0133.17701
Green, A. E.; Naghdi, P. M.
209
1965
Multipolar continuum mechanics. Zbl 0133.17604
Green, A. E.; Rivlin, R. S.
207
1964
Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Zbl 0789.35008
Jensen, Robert
204
1993
A continuum theory for granular materials. Zbl 0243.76005
Goodman, M. A.; Cowin, S. C.
204
1972
Entropy solutions for nonlinear degenerate problems. Zbl 0935.35056
Carrillo, José
201
1999
Hydrostatic theory of liquid crystals. Zbl 0105.23403
Ericksen, J. L.
200
1962
Exact controllability theorems for linear parabolic equations in one space dimension. Zbl 0231.93003
Fattorini, H. O.; Russell, D. L.
199
1971
Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Zbl 1198.35197
Hu, Xianpeng; Wang, Dehua
199
2010
Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078
Giga, Yoshikazu; Miyakawa, Tetsuro
196
1985
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
189
1996
Dissipative dynamical systems. II: Linear systems with quadratic supply rates. Zbl 0252.93003
Willems, Jan C.
188
1972
A new proof of Moser’s parabolic Harnack inequality using the old ideas of Nash. Zbl 0652.35052
Fabes, E. B.; Stroock, D. W.
186
1986
On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029
Ding, Wei-Yue; Ni, Wei-Ming
185
1986
Caractérisation de quelques espaces d’interpolation. Zbl 0187.05901
Grisvard, P.
185
1967
The second law of thermodynamics and stability. Zbl 0448.73004
Dafermos, C. M.
185
1979
Standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1022.35064
Byeon, Jaeyoung; Wang, Zhi-Qiang
184
2002
Certain non-steady flows of second-order fluids. Zbl 0139.20105
Ting, T. W.
183
1963
The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021
Sternberg, Peter
183
1988
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Zbl 0912.45011
Villani, Cédric
182
1998
Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036
Benci, Vieri; Cerami, Giovanna
178
1987
The Pohozaev identity for the fractional Laplacian. Zbl 1361.35199
Ros-Oton, Xavier; Serra, Joaquim
177
2014
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
Aronson, D. G.; Serrin, J.
177
1967
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
172
1967
Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105
Carrillo, José A.; McCann, Robert J.; Villani, Cédric
171
2006
Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101
Vitillaro, Enzo
168
1999
Axioms and fundamental equations of image processing. Zbl 0788.68153
Alvarez, Luis; Guichard, Frédéric; Lions, Pierre-Louis; Morel, Jean- Michel
166
1993
Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Zbl 0631.35058
Goodman, Jonathan
166
1986
Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003
Liu, I-Shih
164
1972
Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082
Slemrod, M.
164
1983
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.
162
1977
Quasistatic crack growth in nonlinear elasticity. Zbl 1064.74150
Dal Maso, Gianni; Francfort, Gilles A.; Toader, Rodica
160
2005
Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078
Byeon, Jaeyoung; Jeanjean, Louis
159
2007
Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035
Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia
158
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.
157
1980
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
157
2001
Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024
Brézis, Haïm; Coron, Jean-Michel
156
1985
Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096
Levine, Howard A.; Serrin, James
155
1997
Integral estimates for null Lagrangians. Zbl 0793.58002
Iwaniec, Tadeusz; Lutoborski, Adam
155
1993
Existence and concentration result for the Kirchhoff type equations with general nonlinearities. Zbl 1302.35356
Figueiredo, Giovany M.; Ikoma, Norihisa; Santos Júnior, João R.
154
2014
Global solutions for incompressible viscoelastic fluids. Zbl 1138.76017
Lei, Zhen; Liu, Chun; Zhou, Yi
154
2008
Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow. Zbl 07804738
Hensel, Sebastian; Stinson, Kerrek
1
2024
Correlation energy of a weakly interacting Fermi gas with large interaction potential. Zbl 07720278
Benedikter, Niels; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert
5
2023
On 1d quadratic Klein-Gordon equations with a potential and symmetries. Zbl 1508.35120
Germain, Pierre; Pusateri, Fabio; Zhang, Katherine Zhiyuan
5
2023
Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate. Zbl 1510.35178
Colombo, Maria; Crippa, Gianluca; Marconi, Elio; Spinolo, Laura V.
5
2023
Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise. Zbl 1514.35316
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan
5
2023
Stationary structures near the Kolmogorov and Poiseuille flows in the 2d Euler equations. Zbl 1509.35195
Coti Zelati, Michele; Elgindi, Tarek M.; Widmayer, Klaus
4
2023
Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods. Zbl 1510.35048
Akagi, Goro
4
2023
Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity. Zbl 1521.74024
Barchiesi, Marco; Henao, Duvan; Mora-Corral, Carlos; Rodiac, Rémy
3
2023
Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts. Zbl 07754928
An, Jing; Henderson, Christopher; Ryzhik, Lenya
3
2023
Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. Zbl 1509.35042
Choi, Beomjun; McCann, Robert J.; Seis, Christian
3
2023
On the uniqueness of Schwarzschild-de Sitter spacetime. Zbl 1520.83023
Borghini, Stefano; Chruściel, Piotr T.; Mazzieri, Lorenzo
3
2023
A priori bounds for the \(\Phi^4\) equation in the full sub-critical regime. Zbl 1516.60037
Chandra, Ajay; Moinat, Augustin; Weber, Hendrik
3
2023
A sharp gradient estimate and \(W^{2, q}\) regularity for the prescribed mean curvature equation in the Lorentz-Minkowski space. Zbl 07754927
Bonheure, Denis; Iacopetti, Alessandro
2
2023
Model-free and prior-free data-driven inference in mechanics. Zbl 1507.74550
Conti, Sergio; Hoffmann, Franca; Ortiz, Michael
2
2023
Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains. Zbl 1508.35033
Bella, Peter; Oschmann, Florian
2
2023
Geometric hydrodynamics in open problems. Zbl 1509.35198
Khesin, Boris; Misiołek, Gerard; Shnirelman, Alexander
2
2023
An intrinsically hydrodynamic approach to multidimensional QHD systems. Zbl 1510.35228
Antonelli, Paolo; Marcati, Pierangelo; Zheng, Hao
2
2023
Alexandrov’s theorem for anisotropic capillary hypersurfaces in the half-space. Zbl 1514.53104
Jia, Xiaohan; Wang, Guofang; Xia, Chao; Zhang, Xuwen
2
2023
Surface concentration of transmission eigenfunctions. Zbl 1517.35141
Chow, Yat Tin; Deng, Youjun; Liu, Hongyu; Sunkula, Mahesh
2
2023
Unstable Stokes waves. Zbl 1521.35139
Hur, Vera Mikyoung; Yang, Zhao
2
2023
Dynamics of density patches in infinite Prandtl number convection. Zbl 07727493
Grayer, Hezekiah II
1
2023
Well-posedness of the Lenard-Balescu equation with smooth interactions. Zbl 07727495
Duerinckx, Mitia; Winter, Raphael
1
2023
The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles. Zbl 1517.60076
Cornalba, Federico; Fischer, Julian
1
2023
Gaussian fluctuations for interacting particle systems with singular kernels. Zbl 1524.60271
Wang, Zhenfu; Zhao, Xianliang; Zhu, Rongchan
1
2023
Regularity for double phase problems at nearly linear growth. Zbl 1525.35089
De Filippis, Cristiana; Mingione, Giuseppe
1
2023
On explicit \(L^2\)-convergence rate estimate for underdamped Langevin dynamics. Zbl 07754930
Cao, Yu; Lu, Jianfeng; Wang, Lihan
1
2023
On the linearized system of equations for the condensate-normal fluid interaction near the critical temperature. Zbl 07754932
Escobedo, M.
1
2023
Optimal estimates on the propagation of reactions with fractional diffusion. Zbl 1526.35303
Zhang, Yuming Paul; Zlatoš, Andrej
1
2023
On uniqueness of multi-bubble blow-up solutions and multi-solitons to \(L^2\)-critical nonlinear Schrödinger equations. Zbl 1505.35324
Cao, Daomin; Su, Yiming; Zhang, Deng
1
2023
Nonlinear and linearized models in thermoviscoelasticity. Zbl 1512.74017
Badal, Rufat; Friedrich, Manuel; Kružík, Martin
1
2023
Small scale formations in the incompressible porous media equation. Zbl 1504.35336
Kiselev, Alexander; Yao, Yao
1
2023
Controllability and ergodicity of three dimensional primitive equations driven by a finite-dimensional force. Zbl 1504.35565
Boulvard, Pierre-Marie; Gao, Peng; Nersesyan, Vahagn
1
2023
Recovery of nonlinear terms for reaction diffusion equations from boundary measurements. Zbl 1506.35277
Kian, Yavar; Uhlmann, Gunther
1
2023
On the Canham problem: bending energy minimizers for any genus and isoperimetric ratio. Zbl 1526.53006
Kusner, Robert; McGrath, Peter
1
2023
Asymptotic simplification of aggregation-diffusion equations towards the heat kernel. Zbl 1509.35041
Carrillo, José A.; Gómez-Castro, David; Yao, Yao; Zeng, Chongchun
1
2023
Maximization of Neumann eigenvalues. Zbl 1517.35144
Bucur, Dorin; Martinet, Eloi; Oudet, Edouard
1
2023
The Rayleigh-Bénard problem for compressible fluid flows. Zbl 1510.35233
Feireisl, Eduard; Świerczewska-Gwiazda, Agnieszka
1
2023
Obstructions to integrability of nearly integrable dynamical systems near regular level sets. Zbl 1525.37056
Motonaga, Shoya; Yagasaki, Kazuyuki
1
2023
Volumetric theory of intermittency in fully developed turbulence. Zbl 1512.76040
Cheskidov, Alexey; Shvydkoy, Roman
1
2023
Illposedness of \(C^2\) vortex patches. Zbl 1516.35316
Kiselev, Alexander; Luo, Xiaoyutao
1
2023
Transverse domain walls in thin ferromagnetic strips. Zbl 1517.82045
Morini, M.; Muratov, C. B.; Novaga, M.; Slastikov, V. V.
1
2023
Stability of Lamb dipoles. Zbl 07525969
Abe, Ken; Choi, Kyudong
12
2022
A Hele-Shaw limit without monotonicity. Zbl 1484.35025
Guillen, Nestor; Kim, Inwon; Mellet, Antoine
9
2022
Stability of the Couette flow for a 2D Boussinesq system without thermal diffusivity. Zbl 1504.35361
Masmoudi, Nader; Said-Houari, Belkacem; Zhao, Weiren
9
2022
Minkowski inequalities via nonlinear potential theory. Zbl 1498.35213
Agostiniani, Virginia; Fogagnolo, Mattia; Mazzieri, Lorenzo
9
2022
Infinite-dimensional inverse problems with finite measurements. Zbl 1481.35390
Alberti, Giovanni S.; Santacesaria, Matteo
8
2022
On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations. Zbl 1507.35154
Ghoul, Tej Eddine; Ibrahim, Slim; Lin, Quyuan; Titi, Edriss S.
8
2022
Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics. Zbl 1490.35292
Zhang, Junyan
8
2022
Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints. Zbl 1492.49016
Guerra, André; Raiță, Bogdan
8
2022
Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere. Zbl 1500.76033
Constantin, A.; Germain, P.
8
2022
The Bernstein technique for integro-differential equations. Zbl 1491.35077
Cabré, Xavier; Dipierro, Serena; Valdinoci, Enrico
8
2022
Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure. Zbl 1511.35172
Hästö, Peter; Ok, Jihoon
8
2022
Anomalous dissipation in passive scalar transport. Zbl 1508.35069
Drivas, Theodore D.; Elgindi, Tarek M.; Iyer, Gautam; Jeong, In-Jee
7
2022
On the energy scaling behaviour of a singularly perturbed Tartar square. Zbl 1480.49002
Rüland, Angkana; Tribuzio, Antonio
6
2022
Nonuniqueness and existence of continuous, globally dissipative Euler flows. Zbl 1489.35185
Isett, Philip
6
2022
Existence and asymptotic behavior of large axisymmetric solutions for steady Navier-Stokes system in a pipe. Zbl 07488595
Wang, Yun; Xie, Chunjing
6
2022
Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in \(L^\infty\). Zbl 1509.35200
Rosenzweig, Matthew
6
2022
Riemann’s non-differentiable function and the binormal curvature flow. Zbl 1506.35153
Banica, Valeria; Vega, Luis
6
2022
Global Schauder estimates for the \(p\)-Laplace system. Zbl 1481.35235
Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S.
5
2022
On the existence of linearly oscillating galaxies. Zbl 1510.85003
Hadžić, Mahir; Rein, Gerhard; Straub, Christopher
5
2022
Wave phenomena to the three-dimensional fluid-particle model. Zbl 1507.35155
Li, Hai-Liang; Wang, Teng; Wang, Yi
5
2022
Complete entropic inequalities for quantum Markov chains. Zbl 1501.46053
Gao, Li; Rouzé, Cambyse
5
2022
Gravitational collapse for polytropic gaseous stars: self-similar solutions. Zbl 1505.35292
Guo, Yan; Hadžić, Mahir; Jang, Juhi; Schrecker, Matthew
5
2022
Optimal design versus maximal Monge-Kantorovich metrics. Zbl 1490.49028
Bołbotowski, Karol; Bouchitté, Guy
5
2022
Carleson measure estimates for the Green function. Zbl 1490.35135
David, Guy; Li, Linhan; Mayboroda, Svitlana
5
2022
Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
4
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
4
2022
Regularity of stationary Boltzmann equation in convex domains. Zbl 1489.35177
Chen, Hongxu; Kim, Chanwoo
4
2022
Boyarsky-Meyers estimate for solutions to Zaremba problem. Zbl 1500.35126
Alkhutov, Yurij A.; Chechkin, Gregory A.; Maz’ya, Vladimir G.
4
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.
4
2022
Global well-posedness for the three dimensional Muskat problem in the critical Sobolev space. Zbl 1504.35319
Gancedo, Francisco; Lazar, Omar
4
2022
On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals. Zbl 1497.49049
Bulíček, Miroslav; Gwiazda, Piotr; Skrzeczkowski, Jakub
4
2022
Uniqueness and weak-BV stability for \(2\times 2\) conservation laws. Zbl 1505.35265
Chen, Geng; Krupa, Sam G.; Vasseur, Alexis F.
4
2022
Homogenization of ferromagnetic energies on Poisson random sets in the plane. Zbl 1485.49019
Braides, Andrea; Piatnitski, Andrey
3
2022
Nonlinear stability of MHD contact discontinuities with surface tension. Zbl 1507.35204
Trakhinin, Yuri; Wang, Tao
3
2022
Stabilization of the linearized water tank system. Zbl 1491.93089
Coron, Jean-Michel; Hayat, Amaury; Xiang, Shengquan; Zhang, Christophe
3
2022
Boundary unique continuation on \(C^1\)-dini domains and the size of the singular set. Zbl 07549417
Kenig, Carlos; Zhao, Zihui
3
2022
Burst of point vortices and non-uniqueness of 2D Euler equations. Zbl 1505.76005
Grotto, Francesco; Pappalettera, Umberto
3
2022
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. Zbl 1504.35248
Disconzi, Marcelo M.; Ifrim, Mihaela; Tataru, Daniel
3
2022
Global existence of strong and weak solutions to 2D compressible Navier-Stokes system in bounded domains with large data and vacuum. Zbl 1504.35224
Fan, Xinyu; Li, Jiaxu; Li, Jing
3
2022
Global \({L}_p\) estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form. Zbl 1493.35015
Dong, Hongjie; Yastrzhembskiy, Timur
3
2022
Convergence of deterministic growth models. Zbl 1501.35129
Chatterjee, Sourav; Souganidis, Panagiotis E.
3
2022
Oscillation and concentration in sequences of PDE constrained measures. Zbl 1515.35295
Kristensen, Jan; Raiță, Bogdan
3
2022
Invariance principles and log-distance of F-KPP fronts in a random medium. Zbl 1525.35264
Drewitz, Alexander; Schmitz, Lars
3
2022
First integrals and symmetries of nonholonomic systems. Zbl 1503.37074
Balseiro, Paula; Sansonetto, Nicola
3
2022
Local well-posedness of free-boundary incompressible elastodynamics with surface tension via vanishing viscosity limit. Zbl 1504.35255
Gu, Xumin; Lei, Zhen
3
2022
Asymptotic expansion of the elastic far-field of a crystalline defect. Zbl 1496.74038
Braun, Julian; Hudson, Thomas; Ortner, Christoph
3
2022
Linear vortex symmetrization: the spectral density function. Zbl 1504.35258
Ionescu, Alexandru D.; Jia, Hao
3
2022
Long time dynamics for combustion in random media. Zbl 1481.35073
Zhang, Yuming Paul; Zlatoš, Andrej
2
2022
On minima of sum of theta functions and application to Mueller-Ho conjecture. Zbl 1489.82014
Luo, Senping; Wei, Juncheng
2
2022
Uniform estimates in periodic homogenization of fully nonlinear elliptic equations. Zbl 1482.35031
Kim, Sunghan; Lee, Ki-Ahm
2
2022
About the Landau-Fermi-Dirac equation with moderately soft potentials. Zbl 1489.35278
Alonso, R.; Bagland, V.; Desvillettes, L.; Lods, B.
2
2022
Incompressible limit of three dimensional compressible viscoelastic systems with vanishing shear viscosity. Zbl 1504.35306
Cui, Xiufang; Hu, Xianpeng
2
2022
The \(N\)-clock model: variational analysis for fast and slow divergence rates of \(N\). Zbl 1500.82004
Cicalese, Marco; Orlando, Gianluca; Ruf, Matthias
2
2022
On non-uniqueness of continuous entropy solutions to the isentropic compressible Euler equations. Zbl 1504.35254
Giri, Vikram; Kwon, Hyunju
2
2022
Half-space solutions with \(7/2\) frequency in the thin obstacle problem. Zbl 1517.35272
Savin, Ovidiu; Yu, Hui
2
2022
A Kato-type criterion for vanishing viscosity near Onsager’s critical regularity. Zbl 1505.35285
Chen, Robin Ming; Liang, Zhilei; Wang, Dehua
2
2022
Global solutions of the compressible Euler equations with large initial data of spherical symmetry and positive far-field density. Zbl 1508.35048
Chen, Gui-Qiang G.; Wang, Yong
2
2022
A new perspective on Wasserstein distances for kinetic problems. Zbl 1507.35181
Iacobelli, Mikaela
2
2022
Variational aspects of the two-center problem. Zbl 1514.70017
Chen, Kuo-Chang
2
2022
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Cited by 40,191 Authors

171 Wei, Juncheng
149 Feireisl, Eduard
134 Carrillo de la Plata, José Antonio
119 Rădulescu, Vicenţiu D.
117 Quintanilla de Latorre, Ramón
117 Yang, Tong
114 Vazquez, Juan Luis
112 Yin, Zhaoyang
105 Papageorgiou, Nikolaos S.
103 Tan, Zhong
102 Rajagopal, Kumbakonam Ramamani
101 Guo, Boling
98 Valdinoci, Enrico
97 Alves, Claudianor Oliveira
97 Zumbrun, Kevin R.
96 Chen, Gui-Qiang G.
96 Gurtin, Morton Edward
96 Rossi, Julio Daniel
93 Winkler, Michael
92 Xin, Zhouping
92 Zhang, Zhifei
90 Ha, Seung-Yeal
89 Tang, Xianhua
88 Ammari, Habib
88 Neff, Patrizio
88 Yao, Zhengan
84 Fan, Jishan
84 Masmoudi, Nader
84 Wu, Jiahong
83 Byun, Sun-Sig
83 Conti, Sergio
82 Nečasová, Šárka
81 Marsden, Jerrold Eldon
80 Li, Wan-Tong
80 Zhu, Changjiang
78 Friedman, Avner
78 Novaga, Matteo
77 Zhang, Ping
77 Zou, Wenming
76 Mielke, Alexander
75 Messaoudi, Salim A.
75 Wang, Zhi-Qiang
73 Mingione, Giuseppe
73 Wang, Shu
73 Zhao, Huijiang
72 Fonseca, Irene
72 Zuazua, Enrique
71 Gazzola, Filippo
71 Lions, Pierre-Louis
70 Galdi, Giovanni Paolo
69 Figalli, Alessio
69 Giga, Yoshikazu
68 Dong, Hongjie
68 LeFloch, Philippe Gerard
66 Caffarelli, Luis Ángel
65 Cao, Daomin
65 Coleman, Bernard David
65 Liu, Jianguo
65 Temam, Roger Meyer
64 Mu, Chunlai
64 Titi, Edriss Saleh
64 Véron, Laurent
63 Ciarlet, Philippe Gaston
63 Müller, Stefan
62 Braides, Andrea
62 Guo, Yan
62 Squassina, Marco
62 Straughan, Brian
61 Kukavica, Igor
61 Ortiz, Michael
61 Roubíček, Tomáš
61 Stefanelli, Ulisse
61 Steinmann, Paul
61 Zhang, Ting
60 Nazarov, Sergeĭ Aleksandrovich
60 Perthame, Benoît
60 Wang, Dehua
59 Jiang, Song
59 Lin, Chang-Shou
59 Novotný, Antonín
58 Dal Maso, Gianni
58 Hamel, François
58 Lasiecka, Irena
58 Miranville, Alain M.
58 Tang, Chun-Lei
58 Toscani, Giuseppe
58 Zhan, Huashui
58 Zhong, Xin
57 Del Pino, Manuel A.
57 Dolbeault, Jean
57 Hayat, Tasawar
57 Li, Fucai
56 Do Ó, João M. Bezerra
56 Duan, Renjun
56 Fusco, Nicola
56 Joseph, Daniel D.
55 Colombo, Rinaldo M.
55 Fabrizio, Mauro
55 Li, Yeping
55 Liu, Qiao
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Cited in 1,039 Journals

3,854 Journal of Differential Equations
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1,278 Calculus of Variations and Partial Differential Equations
1,104 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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947 SIAM Journal on Mathematical Analysis
933 Journal of Functional Analysis
911 Communications in Partial Differential Equations
863 Communications in Mathematical Physics
819 Acta Mechanica
796 Computer Methods in Applied Mechanics and Engineering
782 Discrete and Continuous Dynamical Systems
774 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
774 Journal of Elasticity
745 Nonlinear Analysis. Real World Applications
732 Applicable Analysis
661 Transactions of the American Mathematical Society
661 Nonlinear Analysis. Theory, Methods & Applications
633 Journal de Mathématiques Pures et Appliquées. Neuvième Série
625 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
595 Mathematical Methods in the Applied Sciences
586 Physica D
543 International Journal of Engineering Science
541 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
540 Annali di Matematica Pura ed Applicata. Serie Quarta
534 Journal of Computational Physics
523 Proceedings of the American Mathematical Society
518 Applied Mathematics and Computation
510 Mathematics and Mechanics of Solids
506 Journal of Mathematical Fluid Mechanics
504 Communications on Pure and Applied Analysis
497 Applied Mathematics Letters
494 Journal of the Mechanics and Physics of Solids
461 Computers & Mathematics with Applications
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395 Journal of Nonlinear Science
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391 Advances in Mathematics
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373 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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367 Numerische Mathematik
366 Discrete and Continuous Dynamical Systems. Series B
365 Journal of Statistical Physics
365 Boundary Value Problems
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336 NoDEA. Nonlinear Differential Equations and Applications
332 Journal of Dynamics and Differential Equations
332 European Journal of Mechanics. A. Solids
327 Mathematische Zeitschrift
306 Journal of Mathematical Sciences (New York)
294 Meccanica
282 The Journal of Geometric Analysis
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272 Acta Applicandae Mathematicae
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264 Discrete and Continuous Dynamical Systems. Series S
257 Communications on Pure and Applied Mathematics
254 Applied Mathematics and Optimization
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237 Communications in Contemporary Mathematics
237 Journal of Hyperbolic Differential Equations
216 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
215 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
214 Kinetic and Related Models
211 Journal d’Analyse Mathématique
207 Mathematische Nachrichten
204 Computational Mechanics
199 Advances in Nonlinear Analysis
195 SIAM Journal on Applied Mathematics
195 Science China. Mathematics
181 Journal of Scientific Computing
179 Complex Variables and Elliptic Equations
178 Abstract and Applied Analysis
178 Advanced Nonlinear Studies
175 Applied Numerical Mathematics
170 Journal of Optimization Theory and Applications
167 Wave Motion
164 Journal of Mathematical Biology
164 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
157 Chinese Annals of Mathematics. Series B
154 Duke Mathematical Journal
149 Communications in Nonlinear Science and Numerical Simulation
146 Advances in Calculus of Variations
145 Acta Mathematica Sinica. English Series
144 European Journal of Applied Mathematics
143 Acta Mathematica Scientia. Series B. (English Edition)
142 Journal of the European Mathematical Society (JEMS)
138 Inventiones Mathematicae
136 SIAM Journal on Control and Optimization
134 Monatshefte für Mathematik
132 Journal of Approximation Theory
132 Rendiconti del Seminario Matematico della Università di Padova
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132 Multiscale Modeling & Simulation
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