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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: 5,016 Publications (since 1957)
References Indexed: 4,494 Publications with 108,795 References.
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Latest Issues

248, No. 2 (2024)
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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 3,900 more Authors
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Fields

2,476 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)
392 Statistical mechanics, structure of matter (82-XX)
191 Mechanics of particles and systems (70-XX)
154 Ordinary differential equations (34-XX)
146 Classical thermodynamics, heat transfer (80-XX)
135 Dynamical systems and ergodic theory (37-XX)
135 Differential geometry (53-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

4,684 Publications have been cited 130,051 times in 71,607 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
Elastic materials with couple-stresses. Zbl 0112.16805
Toupin, R. A.
774
1962
Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\). Zbl 0676.35032
Kwong, Man Kam
759
1989
A symmetry problem in potential theory. Zbl 0222.31007
Serrin, James
702
1971
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
678
1975
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
643
1964
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
Constantin, Adrian; Lannes, David
610
2009
The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035
Fife, Paul C.; McLeod, J. B.
578
1977
Effects of couple-stresses in linear elasticity. Zbl 0112.38906
Mindlin, R. D.; Tierstein, H. F.
573
1962
The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
Coleman, Bernard D.; Noll, Walter
543
1963
Dissipative dynamical systems. I: General theory. Zbl 0252.93002
Willems, Jan C.
538
1972
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
Bressan, Alberto; Constantin, Adrian
523
2007
Asymptotic stability in viscoelasticity. Zbl 0214.24503
Dafermos, C. M.
523
1970
A general theory of heat conduction with finite wave speeds. Zbl 0164.12901
Gurtin, M. E.; Pipkin, A. C.
514
1968
On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302
Serrin, James
496
1962
Fine phase mixtures as minimizers of energy. Zbl 0629.49020
Ball, J. M.; James, R. D.
454
1987
Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044
Crandall, Michael G.; Rabinowitz, Paul H.
444
1973
Regularity results for stationary electro-rheological fluids. Zbl 1038.76058
Acerbi, Emilio; Mingione, Giuseppe
423
2002
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
422
1975
The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004
Modica, Luciano
416
1987
Theories of elasticity with couple-stress. Zbl 0131.22001
Toupin, R. A.
410
1964
Regularity results for a class of functionals with non-standard growth. Zbl 0984.49020
Acerbi, Emilio; Mingione, Giuseppe
386
2001
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032
Marcellini, Paolo
383
1989
Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260
Ma, Li; Zhao, Lin
368
2010
Inéquations en thermoélasticité et magnétohydrodynamique. Zbl 0264.73027
Duvaut, G.; Lions, J. L.
367
1972
Regularity for double phase variational problems. Zbl 1322.49065
Colombo, Maria; Mingione, Giuseppe
361
2015
Quasilinear Dirichlet problems driven by positive sources. Zbl 0266.34021
Joseph, D. D.; Lundgren, T. S.
349
1973
Some constitutive equations for liquid crystals. Zbl 0159.57101
Leslie, F. M.
344
1968
Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046
Berestycki, Henri; Lions, Pierre-Louis
337
1983
Sur l’approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Zbl 0207.16904
Témam, R.
322
1969
Traveling waves in a convolution model for phase transitions. Zbl 0889.45012
Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng
321
1997
Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Zbl 0090.17601
Kröner, Ekkehart
316
1960
Non-linear age-dependent population dynamics. Zbl 0286.92005
Gurtin, Morton E.; MacCamy, Richard C.
314
1974
\(L^ 2\) decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031
Schonbek, Maria Elena
313
1985
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.
310
1973
An analysis of a phase field model of a free boundary. Zbl 0608.35080
Caginalp, Gunduz
310
1986
Bounded minimisers of double phase variational integrals. Zbl 1325.49042
Colombo, Maria; Mingione, Giuseppe
308
2015
Semicontinuity problems in the calculus of variations. Zbl 0565.49010
Acerbi, Emilio; Fusco, Nicola
307
1984
Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042
Ambrosetti, A.; Badiale, M.; Cingolani, S.
307
1997
An optimal Poincaré inequality for convex domains. Zbl 0099.08402
Payne, L. E.; Weinberger, H. F.
306
1960
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220
Winkler, Michael
285
2014
A nonlinear theory of elastic materials with voids. Zbl 0444.73018
Nunziato, Jace W.; Cowin, Stephen C.
278
1979
Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601
Browder, F. E.
272
1967
A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303
Noll, Walter
262
1958
On global solution of nonlinear hyperbolic equations. Zbl 0159.39102
Sattinger, D. H.
260
1968
On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016
Iwaniec, Tadeusz; Sbordone, Carlo
258
1992
On the Cahn-Hilliard equation. Zbl 0624.35048
Elliott, Charles M.; Zheng, Songmu
256
1986
Estimates of harmonic measure. Zbl 0406.28009
Dahlberg, Björn E. J.
252
1977
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
249
1983
On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138
De Lellis, Camillo; Székelyhidi, László jun.
236
2010
On the thermomechanics of interstitial working. Zbl 0582.73004
Dunn, J. E.; Serrin, J.
234
1985
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
231
1985
An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403
Coleman, Bernard D.; Noll, Walter
229
1960
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
225
2006
Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001
Dunn, J. Ernest; Fosdick, Roger L.
219
1974
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057
Crandall, Michael G.; Rabinowitz, Paul H.
218
1975
Multipolar continuum mechanics. Zbl 0133.17604
Green, A. E.; Rivlin, R. S.
215
1964
Liquid crystal flows in two dimensions. Zbl 1346.76011
Lin, Fanghua; Lin, Junyu; Wang, Changyou
215
2010
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
213
1972
A continuum theory for granular materials. Zbl 0243.76005
Goodman, M. A.; Cowin, S. C.
212
1972
A general theory of an elastic-plastic continuum. Zbl 0133.17701
Green, A. E.; Naghdi, P. M.
211
1965
Exact controllability theorems for linear parabolic equations in one space dimension. Zbl 0231.93003
Fattorini, H. O.; Russell, D. L.
210
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
210
2010
Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Zbl 0789.35008
Jensen, Robert
209
1993
Entropy solutions for nonlinear degenerate problems. Zbl 0935.35056
Carrillo, José
207
1999
Hydrostatic theory of liquid crystals. Zbl 0105.23403
Ericksen, J. L.
204
1962
Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078
Giga, Yoshikazu; Miyakawa, Tetsuro
201
1985
Dissipative dynamical systems. II: Linear systems with quadratic supply rates. Zbl 0252.93003
Willems, Jan C.
195
1972
The second law of thermodynamics and stability. Zbl 0448.73004
Dafermos, C. M.
194
1979
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
192
1996
Certain non-steady flows of second-order fluids. Zbl 0139.20105
Ting, T. W.
191
1963
Standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1022.35064
Byeon, Jaeyoung; Wang, Zhi-Qiang
191
2002
On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029
Ding, Wei-Yue; Ni, Wei-Ming
190
1986
The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021
Sternberg, Peter
189
1988
A new proof of Moser’s parabolic Harnack inequality using the old ideas of Nash. Zbl 0652.35052
Fabes, E. B.; Stroock, D. W.
189
1986
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Zbl 0912.45011
Villani, Cédric
189
1998
Caractérisation de quelques espaces d’interpolation. Zbl 0187.05901
Grisvard, P.
188
1967
The Pohozaev identity for the fractional Laplacian. Zbl 1361.35199
Ros-Oton, Xavier; Serra, Joaquim
186
2014
Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036
Benci, Vieri; Cerami, Giovanna
183
1987
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
Aronson, D. G.; Serrin, J.
181
1967
Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101
Vitillaro, Enzo
177
1999
Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105
Carrillo, José A.; McCann, Robert J.; Villani, Cédric
176
2006
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
175
1967
Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Zbl 0631.35058
Goodman, Jonathan
171
1986
Existence and concentration result for the Kirchhoff type equations with general nonlinearities. Zbl 1302.35356
Figueiredo, Giovany M.; Ikoma, Norihisa; Santos Júnior, João R.
170
2014
Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003
Liu, I-Shih
169
1972
Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035
Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia
168
2005
Axioms and fundamental equations of image processing. Zbl 0788.68153
Alvarez, Luis; Guichard, Frédéric; Lions, Pierre-Louis; Morel, Jean- Michel
167
1993
Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082
Slemrod, M.
165
1983
Quasistatic crack growth in nonlinear elasticity. Zbl 1064.74150
Dal Maso, Gianni; Francfort, Gilles A.; Toader, Rodica
164
2005
Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046
Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E.
163
1977
Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078
Byeon, Jaeyoung; Jeanjean, Louis
162
2007
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
161
2001
Global solutions for incompressible viscoelastic fluids. Zbl 1138.76017
Lei, Zhen; Liu, Chun; Zhou, Yi
160
2008
Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients. Zbl 0958.35060
Li, Yan Yan; Vogelius, Michael
159
2000
Divergence-measure fields and hyperbolic conservation laws. Zbl 0942.35111
Chen, Gui-Qiang; Frid, Hermano
159
1999
Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024
Brézis, Haïm; Coron, Jean-Michel
159
1985
Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096
Levine, Howard A.; Serrin, James
159
1997
Consistency of the flat flow solution to the volume preserving mean curvature flow. Zbl 07782710
Julin, Vesa; Niinikoski, Joonas
1
2024
Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow. Zbl 07804738
Hensel, Sebastian; Stinson, Kerrek
1
2024
On 1d quadratic Klein-Gordon equations with a potential and symmetries. Zbl 1508.35120
Germain, Pierre; Pusateri, Fabio; Zhang, Katherine Zhiyuan
6
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.
6
2023
On the uniqueness of Schwarzschild-de Sitter spacetime. Zbl 1520.83023
Borghini, Stefano; Chruściel, Piotr T.; Mazzieri, Lorenzo
6
2023
Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods. Zbl 1510.35048
Akagi, Goro
6
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
Correlation energy of a weakly interacting Fermi gas with large interaction potential. Zbl 07720278
Benedikter, Niels; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert
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
5
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
4
2023
Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. Zbl 1509.35042
Choi, Beomjun; McCann, Robert J.; Seis, Christian
4
2023
A priori bounds for the \(\Phi^4\) equation in the full sub-critical regime. Zbl 1516.60037
Chandra, Ajay; Moinat, Augustin; Weber, Hendrik
4
2023
Regularity for double phase problems at nearly linear growth. Zbl 1525.35089
De Filippis, Cristiana; Mingione, Giuseppe
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
3
2023
Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts. Zbl 07754928
An, Jing; Henderson, Christopher; Ryzhik, Lenya
3
2023
The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles. Zbl 1517.60076
Cornalba, Federico; Fischer, Julian
3
2023
Model-free and prior-free data-driven inference in mechanics. Zbl 1507.74550
Conti, Sergio; Hoffmann, Franca; Ortiz, Michael
3
2023
On the Canham problem: bending energy minimizers for any genus and isoperimetric ratio. Zbl 1526.53006
Kusner, Robert; McGrath, Peter
3
2023
Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains. Zbl 1508.35033
Bella, Peter; Oschmann, Florian
3
2023
A comparison estimate for singular \(p\)-Laplace equations and its consequences. Zbl 1514.35242
Nguyen, Quoc-Hung; Phuc, Nguyen Cong
3
2023
Unstable Stokes waves. Zbl 1521.35139
Hur, Vera Mikyoung; Yang, Zhao
3
2023
Weyl’s law for the Steklov problem on surfaces with rough boundary. Zbl 1521.35124
Karpukhin, Mikhail; Lagacé, Jean; Polterovich, Iosif
2
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
2
2023
Recovery of nonlinear terms for reaction diffusion equations from boundary measurements. Zbl 1506.35277
Kian, Yavar; Uhlmann, Gunther
2
2023
Asymptotic simplification of aggregation-diffusion equations towards the heat kernel. Zbl 1509.35041
Carrillo, José A.; Gómez-Castro, David; Yao, Yao; Zeng, Chongchun
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
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
Free boundary problem for a gas bubble in a liquid, and exponential stability of the manifold of spherically symmetric equilibria. Zbl 07751576
Lai, Chen-Chih; Weinstein, Michael I.
1
2023
Gaussian fluctuations for interacting particle systems with singular kernels. Zbl 1524.60271
Wang, Zhenfu; Zhao, Xianliang; Zhu, Rongchan
1
2023
Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer. Zbl 1528.35102
Yang, Tong; Zhang, Zhu
1
2023
On explicit \(L^2\)-convergence rate estimate for underdamped Langevin dynamics. Zbl 07754930
Cao, Yu; Lu, Jianfeng; Wang, Lihan
1
2023
Benjamin-Feir instability of Stokes waves in finite depth. Zbl 1525.76049
Berti, Massimiliano; Maspero, Alberto; Ventura, Paolo
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
Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation. Zbl 1525.35072
Krieger, Joachim; Lührmann, Jonas; Staffilani, Gigliola
1
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
Regularity properties of passive scalars with rough divergence-free drifts. Zbl 1521.35100
Albritton, Dallas; Dong, Hongjie
1
2023
Gradient higher integrability for degenerate parabolic double-phase systems. Zbl 1521.35062
Kim, Wontae; Kinnunen, Juha; Moring, Kristian
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
Nonlinear and linearized models in thermoviscoelasticity. Zbl 1512.74017
Badal, Rufat; Friedrich, Manuel; Kružík, Martin
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
Cauchy problem for incompressible neo-Hookean materials. Zbl 1509.35193
Andersson, Lars; Kapitanski, Lev
1
2023
On the regularity of non-scattering anisotropic inhomogeneities. Zbl 1512.35164
Cakoni, Fioralba; Vogelius, Michael S.; Xiao, Jingni
1
2023
Regularity of solutions to the Muskat equation. Zbl 1512.35486
Shi, Jia
1
2023
The existence of a weak solution to volume preserving mean curvature flow in higher dimensions. Zbl 07687726
Takasao, Keisuke
1
2023
Nonlinear stability and existence of two-dimensional compressible current-vortex sheets. Zbl 07685298
Morando, Alessandro; Secchi, Paolo; Trebeschi, Paola; Yuan, Difan
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
Which measure-valued solutions of the monoatomic gas equations are generated by weak solutions? Zbl 1521.35137
Gallenmüller, Dennis; Wiedemann, Emil
1
2023
The insulated conductivity problem with \(p\)-Laplacian. Zbl 1522.35281
Dong, Hongjie; Yang, Zhuolun; Zhu, Hanye
1
2023
Global bifurcation and highest waves on water of finite depth. Zbl 07742461
Kozlov, Vladimir; Lokharu, Evgeniy
1
2023
Minkowski inequalities via nonlinear potential theory. Zbl 1498.35213
Agostiniani, Virginia; Fogagnolo, Mattia; Mazzieri, Lorenzo
14
2022
Stability of Lamb dipoles. Zbl 07525969
Abe, Ken; Choi, Kyudong
12
2022
Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere. Zbl 1500.76033
Constantin, A.; Germain, P.
12
2022
The Bernstein technique for integro-differential equations. Zbl 1491.35077
Cabré, Xavier; Dipierro, Serena; Valdinoci, Enrico
12
2022
Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints. Zbl 1492.49016
Guerra, André; Raiță, Bogdan
11
2022
Infinite-dimensional inverse problems with finite measurements. Zbl 1481.35390
Alberti, Giovanni S.; Santacesaria, Matteo
10
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.
10
2022
Stability of the Couette flow for a 2D Boussinesq system without thermal diffusivity. Zbl 1504.35361
Masmoudi, Nader; Said-Houari, Belkacem; Zhao, Weiren
10
2022
Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure. Zbl 1511.35172
Hästö, Peter; Ok, Jihoon
10
2022
On the energy scaling behaviour of a singularly perturbed Tartar square. Zbl 1480.49002
Rüland, Angkana; Tribuzio, Antonio
9
2022
A Hele-Shaw limit without monotonicity. Zbl 1484.35025
Guillen, Nestor; Kim, Inwon; Mellet, Antoine
9
2022
Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in \(L^\infty\). Zbl 1509.35200
Rosenzweig, Matthew
9
2022
Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics. Zbl 1490.35292
Zhang, Junyan
8
2022
Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
8
2022
Wave phenomena to the three-dimensional fluid-particle model. Zbl 1507.35155
Li, Hai-Liang; Wang, Teng; Wang, Yi
8
2022
Complete entropic inequalities for quantum Markov chains. Zbl 1501.46053
Gao, Li; Rouzé, Cambyse
7
2022
Anomalous dissipation in passive scalar transport. Zbl 1508.35069
Drivas, Theodore D.; Elgindi, Tarek M.; Iyer, Gautam; Jeong, In-Jee
7
2022
Riemann’s non-differentiable function and the binormal curvature flow. Zbl 1506.35153
Banica, Valeria; Vega, Luis
6
2022
Nonuniqueness and existence of continuous, globally dissipative Euler flows. Zbl 1489.35185
Isett, Philip
6
2022
Global \({L}_p\) estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form. Zbl 1493.35015
Dong, Hongjie; Yastrzhembskiy, Timur
6
2022
Global Schauder estimates for the \(p\)-Laplace system. Zbl 1481.35235
Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S.
6
2022
Local well-posedness of free-boundary incompressible elastodynamics with surface tension via vanishing viscosity limit. Zbl 1504.35255
Gu, Xumin; Lei, Zhen
6
2022
On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals. Zbl 1497.49049
Bulíček, Miroslav; Gwiazda, Piotr; Skrzeczkowski, Jakub
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
Carleson measure estimates for the Green function. Zbl 1490.35135
David, Guy; Li, Linhan; Mayboroda, Svitlana
6
2022
Regularity of stationary Boltzmann equation in convex domains. Zbl 1489.35177
Chen, Hongxu; Kim, Chanwoo
5
2022
Boundary unique continuation on \(C^1\)-dini domains and the size of the singular set. Zbl 07549417
Kenig, Carlos; Zhao, Zihui
5
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
5
2022
On the existence of linearly oscillating galaxies. Zbl 1510.85003
Hadžić, Mahir; Rein, Gerhard; Straub, Christopher
5
2022
Gravitational collapse for polytropic gaseous stars: self-similar solutions. Zbl 1505.35292
Guo, Yan; Hadžić, Mahir; Jang, Juhi; Schrecker, Matthew
5
2022
Uniqueness and weak-BV stability for \(2\times 2\) conservation laws. Zbl 1505.35265
Chen, Geng; Krupa, Sam G.; Vasseur, Alexis F.
5
2022
Optimal design versus maximal Monge-Kantorovich metrics. Zbl 1490.49028
Bołbotowski, Karol; Bouchitté, Guy
5
2022
Stabilization of the linearized water tank system. Zbl 1491.93089
Coron, Jean-Michel; Hayat, Amaury; Xiang, Shengquan; Zhang, Christophe
4
2022
Burst of point vortices and non-uniqueness of 2D Euler equations. Zbl 1505.76005
Grotto, Francesco; Pappalettera, Umberto
4
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
4
2022
Global well-posedness of compressible Navier-Stokes equation with \(BV\cap L^1\) initial data. Zbl 1513.35435
Wang, Haitao; Yu, Shih-Hsien; Zhang, Xiongtao
4
2022
The Vlasov-Poisson-Landau system with the specular-reflection boundary condition. Zbl 1505.35333
Dong, Hongjie; Guo, Yan; Ouyang, Zhimeng
4
2022
Oscillation and concentration in sequences of PDE constrained measures. Zbl 1515.35295
Kristensen, Jan; Raiță, Bogdan
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
Global well-posedness for the three dimensional Muskat problem in the critical Sobolev space. Zbl 1504.35319
Gancedo, Francisco; Lazar, Omar
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
First integrals and symmetries of nonholonomic systems. Zbl 1503.37074
Balseiro, Paula; Sansonetto, Nicola
3
2022
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Cited by 41,190 Authors

172 Wei, Juncheng
151 Feireisl, Eduard
137 Carrillo de la Plata, José Antonio
133 Rădulescu, Vicenţiu D.
123 Quintanilla de Latorre, Ramón
118 Yang, Tong
115 Vazquez, Juan Luis
114 Yin, Zhaoyang
112 Papageorgiou, Nikolaos S.
104 Guo, Boling
104 Rajagopal, Kumbakonam Ramamani
103 Tan, Zhong
102 Valdinoci, Enrico
99 Alves, Claudianor Oliveira
99 Rossi, Julio Daniel
98 Chen, Gui-Qiang G.
97 Zumbrun, Kevin R.
96 Gurtin, Morton Edward
95 Winkler, Michael
94 Tang, Xianhua
93 Xin, Zhouping
93 Zhang, Zhifei
92 Ha, Seung-Yeal
90 Neff, Patrizio
90 Wu, Jiahong
89 Ammari, Habib
89 Yao, Zhengan
87 Conti, Sergio
85 Byun, Sun-Sig
85 Zhu, Changjiang
84 Fan, Jishan
84 Masmoudi, Nader
84 Nečasová, Šárka
83 Li, Wan-Tong
81 Marsden, Jerrold Eldon
79 Novaga, Matteo
79 Zou, Wenming
78 Friedman, Avner
78 Wang, Zhi-Qiang
78 Zhang, Ping
77 Mielke, Alexander
76 Messaoudi, Salim A.
74 Wang, Shu
73 Mingione, Giuseppe
73 Zhao, Huijiang
72 Fonseca, Irene
72 Gazzola, Filippo
72 Zuazua, Enrique
71 Galdi, Giovanni Paolo
71 Giga, Yoshikazu
71 Lions, Pierre-Louis
70 Dong, Hongjie
69 Figalli, Alessio
69 LeFloch, Philippe Gerard
68 Cao, Daomin
67 Caffarelli, Luis Ángel
67 Liu, Jianguo
66 Tang, Chun-Lei
65 Coleman, Bernard David
65 Temam, Roger Meyer
65 Titi, Edriss Saleh
65 Véron, Laurent
64 Kukavica, Igor
64 Mu, Chunlai
64 Ortiz, Michael
63 Braides, Andrea
63 Ciarlet, Philippe Gaston
63 Müller, Stefan
63 Steinmann, Paul
63 Straughan, Brian
62 Guo, Yan
62 Squassina, Marco
62 Stefanelli, Ulisse
61 Nazarov, Sergeĭ Aleksandrovich
61 Perthame, Benoît
61 Roubíček, Tomáš
61 Zhang, Ting
60 Dolbeault, Jean
60 Hamel, François
60 Jiang, Song
60 Wang, Dehua
60 Zhong, Xin
59 Li, Fucai
59 Lin, Chang-Shou
59 Miranville, Alain M.
59 Novotný, Antonín
58 Dal Maso, Gianni
58 Del Pino, Manuel A.
58 Duan, Renjun
58 Lasiecka, Irena
58 Toscani, Giuseppe
58 Zhan, Huashui
57 Fusco, Nicola
57 Hayat, Tasawar
57 Muñoz Rivera, Jaime Edilberto
56 Do Ó, João M. Bezerra
56 Joseph, Daniel D.
56 Li, Yeping
55 Colombo, Rinaldo M.
55 Fabrizio, Mauro
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3,893 Journal of Differential Equations
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1,337 Calculus of Variations and Partial Differential Equations
1,138 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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937 Journal of Functional Analysis
914 Communications in Partial Differential Equations
868 Communications in Mathematical Physics
826 Discrete and Continuous Dynamical Systems
825 Acta Mechanica
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774 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
745 Nonlinear Analysis. Real World Applications
744 Applicable Analysis
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663 Transactions of the American Mathematical Society
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643 Journal de Mathématiques Pures et Appliquées. Neuvième Série
626 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
597 Physica D
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402 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
396 Advances in Mathematics
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373 Numerische Mathematik
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367 Journal of Statistical Physics
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337 European Journal of Mechanics. A. Solids
328 Mathematische Zeitschrift
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298 Meccanica
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280 Quarterly of Applied Mathematics
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261 Communications on Pure and Applied Mathematics
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250 Manuscripta Mathematica
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227 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
214 Kinetic and Related Models
211 Journal d’Analyse Mathématique
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202 Science China. Mathematics
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184 Complex Variables and Elliptic Equations
179 Advanced Nonlinear Studies
178 Abstract and Applied Analysis
176 Acta Mathematica Scientia. Series B. (English Edition)
175 Applied Numerical Mathematics
172 Journal of Optimization Theory and Applications
167 Wave Motion
166 Journal of Mathematical Biology
164 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
164 Communications in Nonlinear Science and Numerical Simulation
160 Chinese Annals of Mathematics. Series B
155 Duke Mathematical Journal
154 Asymptotic Analysis
153 Advances in Calculus of Variations
152 Journal of the European Mathematical Society (JEMS)
149 Acta Mathematica Sinica. English Series
146 Monatshefte für Mathematik
144 European Journal of Applied Mathematics
143 SIAM Journal on Control and Optimization
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140 Analysis & PDE
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