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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: http://link.springer.com/journal/volumesAndIssues/205
Comments: Indexed cover-to-cover
Documents Indexed: 4,876 Publications (since 1957)
References Indexed: 4,354 Publications with 103,000 References.
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Latest Issues

246, No. 1 (2022)
245, No. 3 (2022)
245, No. 2 (2022)
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217, No. 3 (2015)
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216, No. 3 (2015)
216, No. 2 (2015)
216, No. 1 (2015)
215, No. 3 (2015)
215, No. 2 (2015)
215, No. 1 (2015)
214, No. 3 (2014)
214, No. 2 (2014)
214, No. 1 (2014)
213, No. 3 (2014)
213, No. 2 (2014)
213, No. 1 (2014)
...and 524 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 Roger Jones
26 Rivlin, Ronald Samuel
26 Zumbrun, Kevin R.
25 Ericksen, Jerald Laverne
23 Mizel, Victor J.
22 Caffarelli, Luis Ángel
22 Peletier, Lambertus Adrianus
19 Fonseca, Irene
19 Noll, Walter
19 Payne, Lawrence Edward
18 Conti, Sergio
18 Green, Albert E.
18 McLeod, John Bryce
18 Slemrod, Marshall
18 Smoller, Joel Alan
18 Xin, Zhouping
17 Antman, Stuart S.
17 Cohen, Harley
17 Marsden, Jerrold Eldon
17 Velázquez, Juan J. L.
16 Feireisl, Eduard
16 Fosdick, Roger L.
16 Guo, Yan
16 Masmoudi, Nader
16 Vazquez, Juan Luis
16 Yang, Tong
16 Zhang, Ping
16 Zhang, Zhifei
15 Iooss, Gérard
15 LeFloch, Philippe Gerard
15 Müller, Stefan
15 Sather, Duane
15 Sternberg, Eli
15 Tzavaras, Athanasios E.
14 Bowen, Ray M.
14 Dal Maso, Gianni
14 Fife, Paul C.
14 Knops, Robin J.
14 Mingione, Giuseppe
14 Müller, Ingo
14 Naghdi, Paul Mansour
14 Renardy, Michael
13 Bressan, Alberto
13 Brézis, Haïm
13 Chen, Peter J.
13 Edelen, Dominic Gardiner Bowling
13 Ortiz, Michael
13 Terracini, Susanna
13 Williams, William O.
12 Bhattacharya, Kaushik
12 Giga, Yoshikazu
12 Kim, Inwon Christina
12 Lions, Pierre-Louis
12 Pipkin, Allen C.
12 Ryzhik, Lenya
12 Toland, John Francis
12 Truesdell, Clifford Ambrose III
12 Yu, Shih-Hsien
11 Ball, John MacLeod
11 Figalli, Alessio
11 Huang, Feimin
11 Kristensen, Jan
11 Liu, Tai-Ping
11 Mielke, Alexander
11 Redheffer, Raymond M.
11 Schiffer, Menahem Max
11 Šilhavý, Miroslav
11 Spector, Scott J.
11 Toupin, Richard A.
11 Vasseur, Alexis F.
11 Virga, Epifanio G.
11 Wei, Juncheng
11 Wilcox, Calvin H.
10 Constantin, Adrian
10 Dafermos, Constantine M.
10 Duffin, Richard James
10 Freistühler, Heinrich
10 Frid, Hermano
10 Iwaniec, Tadeusz
10 Perthame, Benoît
10 Rein, Gerhard
10 Shinbrot, Marvin
10 Zuazua, Enrique
9 Beirão da Veiga, Hugo
9 Bouchitté, Guy
9 Braides, Andrea
9 Cesari, Lamberto
9 Chen, Xinfu
9 Ciarlet, Philippe Gaston
9 Cicalese, Marco
9 Constantin, Peter
...and 3,760 more Authors
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Fields

2,363 Partial differential equations (35-XX)
1,299 Fluid mechanics (76-XX)
928 Mechanics of deformable solids (74-XX)
397 Calculus of variations and optimal control; optimization (49-XX)
370 Statistical mechanics, structure of matter (82-XX)
183 Mechanics of particles and systems (70-XX)
153 Ordinary differential equations (34-XX)
142 Classical thermodynamics, heat transfer (80-XX)
130 Dynamical systems and ergodic theory (37-XX)
120 Differential geometry (53-XX)
111 Operator theory (47-XX)
107 Optics, electromagnetic theory (78-XX)
97 Global analysis, analysis on manifolds (58-XX)
79 Probability theory and stochastic processes (60-XX)
78 Quantum theory (81-XX)
77 Integral equations (45-XX)
65 Functional analysis (46-XX)
62 Biology and other natural sciences (92-XX)
61 Numerical analysis (65-XX)
59 Real functions (26-XX)
46 Functions of a complex variable (30-XX)
41 Geophysics (86-XX)
39 Potential theory (31-XX)
37 Measure and integration (28-XX)
37 Astronomy and astrophysics (85-XX)
36 Relativity and gravitational theory (83-XX)
34 Systems theory; control (93-XX)
17 Operations research, mathematical programming (90-XX)
16 Special functions (33-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
13 Approximations and expansions (41-XX)
12 Group theory and generalizations (20-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 History and biography (01-XX)
7 General topology (54-XX)
6 General and overarching topics; collections (00-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Integral transforms, operational calculus (44-XX)
6 Manifolds and cell complexes (57-XX)
6 Computer science (68-XX)
6 Information and communication theory, circuits (94-XX)
5 Difference and functional equations (39-XX)
5 Algebraic topology (55-XX)
4 Combinatorics (05-XX)
3 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 Category theory; homological algebra (18-XX)
2 Statistics (62-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Associative rings and algebras (16-XX)
1 Geometry (51-XX)

Publications by Year

Citations contained in zbMATH Open

4,506 Publications have been cited 111,385 times in 62,853 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.
881
1977
Micro-structure in linear elasticity. Zbl 0119.40302
Mindlin, R. D.
840
1964
Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\). Zbl 0676.35032
Kwong, Man Kam
633
1989
Elastic materials with couple-stresses. Zbl 0112.16805
Toupin, R. A.
631
1962
A symmetry problem in potential theory. Zbl 0222.31007
Serrin, James
603
1971
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
580
1975
On the Navier-Stokes initial value problem. I. Zbl 0126.42301
Fujita, H.; Kato, Tosio
570
1964
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations. Zbl 1169.76010
Constantin, Adrian; Lannes, David
544
2009
The approach of solutions of nonlinear diffusion equations to travelling front solutions. Zbl 0361.35035
Fife, Paul C.; McLeod, J. B.
506
1977
The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
Coleman, Bernard D.; Noll, Walter
485
1963
Dissipative dynamical systems. I: General theory. Zbl 0252.93002
Willems, Jan C.
482
1972
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
Bressan, Alberto; Constantin, Adrian
471
2007
Effects of couple-stresses in linear elasticity. Zbl 0112.38906
Mindlin, R. D.; Tierstein, H. F.
466
1962
A general theory of heat conduction with finite wave speeds. Zbl 0164.12901
Gurtin, M. E.; Pipkin, A. C.
453
1968
On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302
Serrin, James
446
1962
Fine phase mixtures as minimizers of energy. Zbl 0629.49020
Ball, J. M.; James, R. D.
423
1987
Asymptotic stability in viscoelasticity. Zbl 0214.24503
Dafermos, C. M.
419
1970
Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044
Crandall, Michael G.; Rabinowitz, Paul H.
411
1973
Regularity results for stationary electro-rheological fluids. Zbl 1038.76058
Acerbi, Emilio; Mingione, Giuseppe
373
2002
The gradient theory of phase transitions and the minimal interface criterion. Zbl 0616.76004
Modica, Luciano
364
1987
The Cauchy problem for quasi-linear symmetric hyperbolic systems. Zbl 0343.35056
Kato, Tosio
362
1975
Theories of elasticity with couple-stress. Zbl 0131.22001
Toupin, R. A.
344
1964
Regularity results for a class of functionals with non-standard growth. Zbl 0984.49020
Acerbi, Emilio; Mingione, Giuseppe
343
2001
Inéquations en thermoélasticité et magnétohydrodynamique. Zbl 0264.73027
Duvaut, G.; Lions, J. L.
314
1972
Quasilinear Dirichlet problems driven by positive sources. Zbl 0266.34021
Joseph, D. D.; Lundgren, T. S.
310
1973
Some constitutive equations for liquid crystals. Zbl 0159.57101
Leslie, F. M.
301
1968
Non-linear age-dependent population dynamics. Zbl 0286.92005
Gurtin, Morton E.; MacCamy, Richard C.
293
1974
Classification of positive solitary solutions of the nonlinear Choquard equation. Zbl 1185.35260
Ma, Li; Zhao, Lin
288
2010
An analysis of a phase field model of a free boundary. Zbl 0608.35080
Caginalp, Gunduz
285
1986
Semicontinuity problems in the calculus of variations. Zbl 0565.49010
Acerbi, Emilio; Fusco, Nicola
285
1984
Semiclassical states of nonlinear Schrödinger equations. Zbl 0896.35042
Ambrosetti, A.; Badiale, M.; Cingolani, S.
283
1997
Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046
Berestycki, Henri; Lions, Pierre-Louis
278
1983
Traveling waves in a convolution model for phase transitions. Zbl 0889.45012
Bates, Peter W.; Fife, Paul C.; Ren, Xiaofeng; Wang, Xuefeng
277
1997
Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Zbl 0090.17601
Kröner, Ekkehart
277
1960
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032
Marcellini, Paolo
275
1989
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.
270
1973
Sur l’approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Zbl 0207.16904
Témam, R.
269
1969
An optimal Poincaré inequality for convex domains. Zbl 0099.08402
Payne, L. E.; Weinberger, H. F.
263
1960
\(L^ 2\) decay for weak solutions of the Navier-Stokes equations. Zbl 0602.76031
Schonbek, Maria Elena
259
1985
Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces. Zbl 0148.13601
Browder, F. E.
257
1967
A mathematical theory of the mechanical behavior of continuous media. Zbl 0083.39303
Noll, Walter
249
1958
Regularity for double phase variational problems. Zbl 1322.49065
Colombo, Maria; Mingione, Giuseppe
239
2015
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
235
1983
A nonlinear theory of elastic materials with voids. Zbl 0444.73018
Nunziato, Jace W.; Cowin, Stephen C.
224
1979
An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403
Coleman, Bernard D.; Noll, Walter
221
1960
On the Cahn-Hilliard equation. Zbl 0624.35048
Elliott, Charles M.; Zheng, Songmu
218
1986
Estimates of harmonic measure. Zbl 0406.28009
Dahlberg, Björn E. J.
216
1977
On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016
Iwaniec, Tadeusz; Sbordone, Carlo
215
1992
On global solution of nonlinear hyperbolic equations. Zbl 0159.39102
Sattinger, D. H.
213
1968
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220
Winkler, Michael
212
2014
Bounded minimisers of double phase variational integrals. Zbl 1325.49042
Colombo, Maria; Mingione, Giuseppe
211
2015
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
207
1985
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057
Crandall, Michael G.; Rabinowitz, Paul H.
204
1975
Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001
Dunn, J. Ernest; Fosdick, Roger L.
203
1974
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
203
1972
A general theory of an elastic-plastic continuum. Zbl 0133.17701
Green, A. E.; Naghdi, P. M.
198
1965
On the thermomechanics of interstitial working. Zbl 0582.73004
Dunn, J. E.; Serrin, J.
197
1985
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
193
2006
Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient. Zbl 0789.35008
Jensen, Robert
190
1993
A continuum theory for granular materials. Zbl 0243.76005
Goodman, M. A.; Cowin, S. C.
190
1972
Liquid crystal flows in two dimensions. Zbl 1346.76011
Lin, Fanghua; Lin, Junyu; Wang, Changyou
189
2010
Entropy solutions for nonlinear degenerate problems. Zbl 0935.35056
Carrillo, José
185
1999
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
181
1996
Multipolar continuum mechanics. Zbl 0133.17604
Green, A. E.; Rivlin, R. S.
180
1964
Caractérisation de quelques espaces d’interpolation. Zbl 0187.05901
Grisvard, P.
180
1967
Exact controllability theorems for linear parabolic equations in one space dimension. Zbl 0231.93003
Fattorini, H. O.; Russell, D. L.
178
1971
Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078
Giga, Yoshikazu; Miyakawa, Tetsuro
178
1985
Hydrostatic theory of liquid crystals. Zbl 0105.23403
Ericksen, J. L.
177
1962
On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029
Ding, Wei-Yue; Ni, Wei-Ming
174
1986
Dissipative dynamical systems. II: Linear systems with quadratic supply rates. Zbl 0252.93003
Willems, Jan C.
174
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
173
2010
On admissibility criteria for weak solutions of the Euler equations. Zbl 1192.35138
De Lellis, Camillo; Székelyhidi, László jun.
173
2010
A new proof of Moser’s parabolic Harnack inequality using the old ideas of Nash. Zbl 0652.35052
Fabes, E. B.; Stroock, D. W.
173
1986
The effect of a singular perturbation on nonconvex variational problems. Zbl 0647.49021
Sternberg, Peter
168
1988
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Zbl 0912.45011
Villani, Cédric
165
1998
Standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1022.35064
Byeon, Jaeyoung; Wang, Zhi-Qiang
164
2002
The second law of thermodynamics and stability. Zbl 0448.73004
Dafermos, C. M.
163
1979
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
Aronson, D. G.; Serrin, J.
163
1967
Positive solutions of some nonlinear elliptic problems in exterior domains. Zbl 0635.35036
Benci, Vieri; Cerami, Giovanna
162
1987
On classical solutions of the two-dimensional non-stationary Euler equation. Zbl 0166.45302
Kato, Tosio
161
1967
Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Zbl 0505.76082
Slemrod, M.
159
1983
Certain non-steady flows of second-order fluids. Zbl 0139.20105
Ting, T. W.
158
1963
Method of Lagrange multipliers for exploitation of the entropy principle. Zbl 0252.76003
Liu, I-Shih
156
1972
Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105
Carrillo, José A.; McCann, Robert J.; Villani, Cédric
154
2006
Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101
Vitillaro, Enzo
154
1999
Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Zbl 0631.35058
Goodman, Jonathan
150
1986
Existence and stability of solutions of a delay-differential system. Zbl 0105.30401
Driver, Rodney D.
150
1962
Quasistatic crack growth in nonlinear elasticity. Zbl 1064.74150
Dal Maso, Gianni; Francfort, Gilles A.; Toader, Rodica
148
2005
The Pohozaev identity for the fractional Laplacian. Zbl 1361.35199
Ros-Oton, Xavier; Serra, Joaquim
148
2014
Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024
Brézis, Haïm; Coron, Jean-Michel
147
1985
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.
147
1977
Integral estimates for null Lagrangians. Zbl 0793.58002
Iwaniec, Tadeusz; Lutoborski, Adam
146
1993
Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096
Levine, Howard A.; Serrin, James
145
1997
Multiplicity results for some nonlinear Schrödinger equations with potentials. Zbl 1040.35107
Ambrosetti, A.; Malchiodi, A.; Secchi, S.
145
2001
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.
145
1980
Standing waves for nonlinear Schrödinger equations with a general nonlinearity. Zbl 1132.35078
Byeon, Jaeyoung; Jeanjean, Louis
145
2007
Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions. Zbl 0249.35029
Coffman, Charles V.
143
1972
Axioms and fundamental equations of image processing. Zbl 0788.68153
Alvarez, Luis; Guichard, Frédéric; Lions, Pierre-Louis; Morel, Jean- Michel
142
1993
Existence theorem for a minimum problem with free discontinuity set. Zbl 0682.49002
De Giorgi, E.; Carriero, M.; Leaci, A.
140
1989
Minkowski inequalities via nonlinear potential theory. Zbl 07505278
Agostiniani, Virginia; Fogagnolo, Mattia; Mazzieri, Lorenzo
6
2022
Global Schauder estimates for the \(p\)-Laplace system. Zbl 1481.35235
Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S.
2
2022
Wave phenomena to the three-dimensional fluid-particle model. Zbl 07463777
Li, Hai-Liang; Wang, Teng; Wang, Yi
2
2022
Riemann’s non-differentiable function and the binormal curvature flow. Zbl 07511060
Banica, Valeria; Vega, Luis
2
2022
Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics. Zbl 1490.35292
Zhang, Junyan
2
2022
Nonuniqueness and existence of continuous, globally dissipative Euler flows. Zbl 1489.35185
Isett, Philip
2
2022
Infinite-dimensional inverse problems with finite measurements. Zbl 1481.35390
Alberti, Giovanni S.; Santacesaria, Matteo
1
2022
Shape optimization of a weighted two-phase Dirichlet eigenvalue. Zbl 1480.49047
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick
1
2022
On the energy scaling behaviour of a singularly perturbed Tartar square. Zbl 1480.49002
Rüland, Angkana; Tribuzio, Antonio
1
2022
Homogenization of ferromagnetic energies on Poisson random sets in the plane. Zbl 1485.49019
Braides, Andrea; Piatnitski, Andrey
1
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
1
2022
On the existence of linearly oscillating galaxies. Zbl 07463770
Hadžić, Mahir; Rein, Gerhard; Straub, Christopher
1
2022
On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations. Zbl 07463772
Ghoul, Tej Eddine; Ibrahim, Slim; Lin, Quyuan; Titi, Edriss S.
1
2022
Smooth controllability of the Navier-Stokes equation with Navier conditions: application to Lagrangian controllability. Zbl 07463775
Liao, Jiajiang; Sueur, Franck; Zhang, Ping
1
2022
Existence and asymptotic behavior of large axisymmetric solutions for steady Navier-Stokes system in a pipe. Zbl 07488595
Wang, Yun; Xie, Chunjing
1
2022
Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in \(L^\infty\). Zbl 07488596
Rosenzweig, Matthew
1
2022
Carleson measure estimates for the Green function. Zbl 1490.35135
David, Guy; Li, Linhan; Mayboroda, Svitlana
1
2022
The Bernstein technique for integro-differential equations. Zbl 1491.35077
Cabré, Xavier; Dipierro, Serena; Valdinoci, Enrico
1
2022
The blow-up rate for a non-scaling invariant semilinear heat equation. Zbl 1486.35074
Hamza, Mohamed Ali; Zaag, Hatem
1
2022
First integrals and symmetries of nonholonomic systems. Zbl 07511057
Balseiro, Paula; Sansonetto, Nicola
1
2022
On uniformly rotating binary stars and galaxies. Zbl 07511059
Jang, Juhi; Seok, Jinmyoung
1
2022
From graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data clouds. Zbl 07525964
García Trillos, Nicolás; Murray, Ryan; Thorpe, Matthew
1
2022
Stability of Lamb dipoles. Zbl 07525969
Abe, Ken; Choi, Kyudong
1
2022
Regularity of stationary Boltzmann equation in convex domains. Zbl 1489.35177
Chen, Hongxu; Kim, Chanwoo
1
2022
Complete entropic inequalities for quantum Markov chains. Zbl 07549420
Gao, Li; Rouzé, Cambyse
1
2022
Global existence of strong and weak solutions to 2D compressible Navier-Stokes system in bounded domains with large data and vacuum. Zbl 07549421
Fan, Xinyu; Li, Jiaxu; Li, Jing
1
2022
Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints. Zbl 07549422
Guerra, André; Raiță, Bogdan
1
2022
Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands. Zbl 07549426
Guerra, André; Kristensen, Jan
1
2022
Local well-posedness of free-boundary incompressible elastodynamics with surface tension via vanishing viscosity limit. Zbl 07571554
Gu, Xumin; Lei, Zhen
1
2022
Lipschitz bounds and nonautonomous integrals. Zbl 1483.49050
De Filippis, Cristiana; Mingione, Giuseppe
15
2021
Bounded solutions of ideal MHD with compact support in space-time. Zbl 1462.76208
Faraco, Daniel; Lindberg, Sauli; Székelyhidi, László jun.
8
2021
Corrector equations in fluid mechanics: effective viscosity of colloidal suspensions. Zbl 1456.76134
Duerinckx, Mitia; Gloria, Antoine
7
2021
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Zbl 1467.35271
Brué, Elia; Colombo, Maria; De Lellis, Camillo
7
2021
Almost global solutions to the three-dimensional isentropic inviscid flows with damping in a physical vacuum around Barenblatt solutions. (Almost global solutions to the three-dimensional isentropic inviscid flows with damping in a physical vacuum around Barenlatt solutions.) Zbl 1469.76096
Zeng, Huihui
6
2021
Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics. Zbl 1458.35356
Trakhinin, Yuri; Wang, Tao
6
2021
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. Zbl 1462.35375
Ignat, R.; Jerrard, R. L.
6
2021
Continued gravitational collapse for Newtonian stars. Zbl 07298829
Guo, Yan; Hadžić, Mahir; Jang, Juhi
5
2021
Nonlinear hyperbolic waves in relativistic gases of massive particles with Synge energy. Zbl 1456.76164
Ruggeri, Tommaso; Xiao, Qinghua; Zhao, Huijiang
5
2021
Traveling quasi-periodic water waves with constant vorticity. Zbl 1462.35262
Berti, Massimiliano; Franzoi, Laura; Maspero, Alberto
5
2021
Anticipation breeds alignment. Zbl 1478.37009
Shu, Ruiwen; Tadmor, Eitan
5
2021
Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit. Zbl 07340104
Esposito, Antonio; Patacchini, Francesco Saverio; Schlichting, André; Slepčev, Dejan
5
2021
Nernst-Planck-Navier-Stokes systems far from equilibrium. Zbl 1471.35230
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah
5
2021
Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms. Zbl 1456.76139
Davoli, Elisa; Scarpa, Luca; Trussardi, Lara
4
2021
Crystallization to the square lattice for a two-body potential. Zbl 1465.74008
Bétermin, Laurent; De Luca, Lucia; Petrache, Mircea
4
2021
On the Serrin-type condition on one velocity component for the Navier-Stokes equations. Zbl 1472.35268
Chae, D.; Wolf, J.
4
2021
Global existence and the decay of solutions to the Prandtl system with small analytic data. Zbl 1472.35307
Paicu, Marius; Zhang, Ping
4
2021
Local well-posedness of strong solutions to the three-dimensional compressible primitive equations. Zbl 1472.35393
Liu, Xin; Titi, Edriss S.
4
2021
Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials. Zbl 1478.60215
Baudoin, Fabrice; Gordina, Maria; Herzog, David P.
4
2021
A new approach to the Rayleigh-Taylor instability. Zbl 1479.35643
Gebhard, Björn; Kolumbán, József J.; Székelyhidi, László Jr.
4
2021
Asymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matter. Zbl 1471.83003
Bigorgne, Léo; Fajman, David; Joudioux, Jérémie; Smulevici, Jacques; Thaller, Maximilian
4
2021
Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems. Zbl 1471.35024
Fischer, Julian; Neukamm, Stefan
4
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.
3
2021
Fluctuations around a homogenised semilinear random PDE. Zbl 1456.35243
Hairer, Martin; Pardoux, Étienne
3
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.
3
2021
Weak solutions to the Muskat problem with surface tension via optimal transport. Zbl 1460.65114
Jacobs, Matt; Kim, Inwon; Mészáros, Alpár R.
3
2021
Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime. Zbl 1456.82909
Dipasquale, Federico; Millot, Vincent; Pisante, Adriano
3
2021
From Steklov to Neumann via homogenisation. Zbl 1458.35040
Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean
3
2021
Partially regular weak solutions of the Navier-Stokes equations in \(\mathbb{R}^4 \times [0,\infty[\). Zbl 07326817
Wu, Bian
3
2021
Global well-posedness and exponential stability of 3D Navier-Stokes equations with density-dependent viscosity and vacuum in unbounded domains. Zbl 1462.35243
He, Cheng; Li, Jing; Lü, Boqiang
3
2021
Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation. Zbl 1464.35028
Côte, Raphaël; Martel, Yvan; Yuan, Xu
3
2021
Hard spheres dynamics: weak vs strong collisions. Zbl 1476.70060
Serre, Denis
3
2021
Regularity for \(C^{1, \alpha}\) interface transmission problems. Zbl 1467.35169
Caffarelli, Luis Ángel; Soria-Carro, María; Stinga, Pablo Raúl
3
2021
Free boundary regularity for almost every solution to the Signorini problem. Zbl 07331727
Fernández-Real, Xavier; Ros-Oton, Xavier
3
2021
Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035
Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd
3
2021
On the free surface motion of highly subsonic heat-conducting inviscid flows. Zbl 1464.76047
Luo, Tao; Zeng, Huihui
3
2021
On the problem of maximal \(L^q\)-regularity for viscous Hamilton-Jacobi equations. Zbl 1467.35155
Cirant, Marco; Goffi, Alessandro
3
2021
The relativistic quantum Boltzmann equation near equilibrium. Zbl 1470.35250
Bae, Gi-Chan; Jang, Jin Woo; Yun, Seok-Bae
3
2021
Spectrum analysis for the Vlasov-Poisson-Boltzmann system. Zbl 1472.35386
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
3
2021
Nonexistence of subcritical solitary waves. Zbl 1467.76023
Kozlov, Vladimir; Lokharu, Evgeniy; Wheeler, Miles H.
3
2021
Topological singular set of vector-valued maps. II: \( \varGamma \)-convergence for Ginzburg-Landau type functionals. Zbl 1467.58004
Canevari, Giacomo; Orlandi, Giandomenico
3
2021
Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations. Zbl 1476.37083
Bernier, Joackim; Grébert, Benoît
3
2021
Mean-field limits: from particle descriptions to macroscopic equations. Zbl 1478.35170
Carrillo, José A.; Choi, Young-Pil
3
2021
Master equation for the finite state space planning problem. Zbl 1470.91010
Bertucci, Charles; Lasry, Jean-Michel; Lions, Pierre-Louis
3
2021
Partial regularity for fractional harmonic maps into spheres. Zbl 07456146
Millot, Vincent; Pegon, Marc; Schikorra, Armin
3
2021
The random heat equation in dimensions three and higher: the homogenization viewpoint. Zbl 1481.35031
Dunlap, Alexander; Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
3
2021
Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold. Zbl 1481.35150
Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean
3
2021
Characterization of minimizers of Aviles-Giga functionals in special domains. Zbl 07456156
Marconi, Elio
3
2021
Two-dimensional grain boundary networks: stochastic particle models and kinetic limits. Zbl 1455.74011
Klobusicky, Joe; Menon, Govind; Pego, Robert L.
2
2021
Structural stability of supersonic solutions to the Euler-Poisson system. Zbl 1456.35136
Bae, Myoungjean; Duan, Ben; Xiao, Jingjing; Xie, Chunjing
2
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
2
2021
Symmetry and rigidity of minimal surfaces with Plateau-like singularities. Zbl 1473.49045
Bernstein, Jacob; Maggi, Francesco
2
2021
Curvature-driven wrinkling of thin elastic shells. Zbl 1460.74057
Tobasco, Ian
2
2021
Two-speed solutions to non-convex rate-independent systems. Zbl 1460.35016
Rindler, Filip; Schwarzacher, Sebastian; Velázquez, Juan J. L.
2
2021
3-d axisymmetric transonic shock solutions of the full Euler system in divergent nozzles. Zbl 1464.35096
Park, Yong
2
2021
Large deviations and entropy production in viscous fluid flows. Zbl 1467.93036
Jakšić, V.; Nersesyan, V.; Pillet, C.-A.; Shirikyan, A.
2
2021
Stability and instability of self-gravitating relativistic matter distributions. Zbl 1468.83023
Hadžić, Mahir; Lin, Zhiwu; Rein, Gerhard
2
2021
On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. Zbl 07364831
Delgadino, Matias G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A.
2
2021
Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation. Zbl 1467.76049
Jang, Jin Woo; Strain, Robert M.; Yun, Seok-Bae
2
2021
Hilbert expansion of the Boltzmann equation with specular boundary condition in half-space. Zbl 1468.76059
Guo, Yan; Huang, Feimin; Wang, Yong
2
2021
A posteriori error estimates for numerical solutions to hyperbolic conservation laws. Zbl 1472.35018
Bressan, Alberto; Chiri, Maria Teresa; Shen, Wen
2
2021
Long-time behaviour of time-dependent density functional theory. Zbl 1467.82112
Pusateri, Fabio; Sigal, Israel Michael
2
2021
A rigidity property for the Novikov equation and the asymptotic stability of peakons. Zbl 1468.35167
Chen, Robin Ming; Lian, Wei; Wang, Dehua; Xu, Runzhang
2
2021
Isodiametry, variance, and regular simplices from particle interactions. Zbl 1470.49038
Lim, Tongseok; McCann, Robert J.
2
2021
Convergence of viscosity solutions of generalized contact Hamilton-Jacobi equations. Zbl 1467.35100
Wang, Ya-Nan; Yan, Jun; Zhang, Jianlu
2
2021
Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy
2
2021
Rigidity of branching microstructures in shape memory alloys. Zbl 1468.74048
Simon, Theresa M.
2
2021
A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent. Zbl 1475.35332
Mederski, Jarosław; Szulkin, Andrzej
2
2021
Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise. Zbl 1471.35345
Dareiotis, Konstantinos; Gess, Benjamin; Gnann, Manuel V.; Grün, Günther
2
2021
Degenerate free discontinuity problems and spectral inequalities in quantitative form. Zbl 1472.49064
Bucur, Dorin; Giacomini, Alessandro; Nahon, Mickaël
2
2021
Improved quantitative regularity for the Navier-Stokes equations in a scale of critical spaces. Zbl 1477.35131
Palasek, Stan
2
2021
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157 Wei, Juncheng
131 Feireisl, Eduard
116 Carrillo de la Plata, José Antonio
112 Yang, Tong
111 Vazquez, Juan Luis
104 Yin, Zhaoyang
103 Rădulescu, Vicenţiu D.
101 Quintanilla de Latorre, Ramón
98 Tan, Zhong
96 Gurtin, Morton Edward
96 Rajagopal, Kumbakonam Ramamani
96 Zumbrun, Kevin R.
93 Papageorgiou, Nikolaos S.
91 Rossi, Julio Daniel
89 Chen, Gui-Qiang G.
89 Xin, Zhouping
88 Alves, Claudianor Oliveira
87 Guo, Boling
87 Valdinoci, Enrico
83 Winkler, Michael
81 Marsden, Jerrold Eldon
80 Fan, Jishan
80 Tang, Xianhua
78 Ammari, Habib M.
78 Friedman, Avner
77 Li, Wan-Tong
77 Yao, Zhengan
77 Zhang, Zhifei
76 Conti, Sergio
74 Messaoudi, Salim A.
74 Wu, Jiahong
73 Ha, Seung-Yeal
73 Neff, Patrizio
73 Novaga, Matteo
73 Zhu, Changjiang
71 Nečasová, Šárka
70 Lions, Pierre-Louis
70 Masmoudi, Nader
70 Mielke, Alexander
69 Mingione, Giuseppe
69 Zou, Wenming
68 Byun, Sun-Sig
68 Giga, Yoshikazu
68 Zhao, Huijiang
65 Caffarelli, Luis Ángel
65 Coleman, Bernard David
65 Fonseca, Irene
65 Gazzola, Filippo
64 Galdi, Giovanni Paolo
64 Mu, Chunlai
63 Figalli, Alessio
63 Wang, Shu
62 LeFloch, Philippe Gerard
61 Ciarlet, Philippe Gaston
61 Dong, Hongjie
61 Müller, Stefan
61 Straughan, Brian
61 Véron, Laurent
61 Zuazua, Enrique
60 Temam, Roger Meyer
60 Zhang, Ping
58 Braides, Andrea
58 Dal Maso, Gianni
58 Lin, Chang-Shou
58 Steinmann, Paul
58 Titi, Edriss Saleh
57 Hayat, Tasawar
57 Kukavica, Igor
57 Lasiecka, Irena
57 Ortiz, Michael
57 Squassina, Marco
57 Zhou, Yong
56 Joseph, Daniel D.
56 Miranville, Alain M.
56 Nazarov, Sergeĭ Aleksandrovich
56 Novotný, Antonín
56 Roubíček, Tomáš
56 Toscani, Giuseppe
55 Del Pino, Manuel A.
55 Dolbeault, Jean
55 Fabrizio, Mauro
55 Hamel, François
55 Jiang, Song
55 Liu, Jianguo
55 Payne, Lawrence Edward
55 Peletier, Lambertus Adrianus
55 Wang, Zhi-Qiang
54 Stefanelli, Ulisse
54 Zhan, Huashui
53 Fusco, Nicola
53 Liu, Yue
53 Perthame, Benoît
52 Do Ó, João M. Bezerra
52 Muñoz Rivera, Jaime Edilberto
51 Colombo, Rinaldo M.
51 Li, Fucai
51 Wang, Dehua
51 Zhang, Ting
50 Ambrosio, Luigi
50 Cao, Daomin
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