## Annals of PDE

### Journal Dedicated to the Analysis of Problems from Physical Sciences

 Short Title: Ann. PDE Publisher: Springer (SpringerOpen), Berlin/Heidelberg ISSN: 2524-5317; 2199-2576/e Online: https://link.springer.com/journal/volumesAndIssues/40818 Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2015). This journal is available open access.
 Documents Indexed: 123 Publications (since 2015) References Indexed: 123 Publications with 5,199 References.
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### Latest Issues

 8, No. 1 (2022) 7, No. 2 (2021) 7, No. 1 (2021) 6, No. 2 (2020) 6, No. 1 (2020) 5, No. 2 (2019) 5, No. 1 (2019) 4, No. 2 (2018) 4, No. 1 (2018) 3, No. 2 (2017) 3, No. 1 (2017) 2, No. 2 (2016) 2, No. 1 (2016) 1, No. 1 (2015)
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### Authors

 4 Luk, Jonathan 3 Aretakis, Stefanos 3 Bedrossian, Jacob 3 Castro, Ángel 3 Cordoba, Diego 3 Elgindi, Tarek Mohamed 3 Gancedo, Francisco 3 Jeong, In-Jee 3 Masmoudi, Nader 3 Oh, Sung-Jin 3 Vicol, Vlad C. 3 Wang, Qian 3 Yang, Shiwu 2 Alazard, Thomas 2 An, Xinliang 2 Angelopoulos, Yannis 2 Constantin, Peter 2 Duerinckx, Mitia 2 Fefferman, Charles Louis 2 Gajic, Dejan 2 Gómez-Serrano, Javier 2 Han-Kwan, Daniel 2 Hintz, Peter 2 Holzegel, Gustav 2 Huneau, Cécile 2 Ignatova, Mihaela 2 Kim, Chanwoo 2 Krieger, Joachim 2 Lührmann, Jonas 2 Moschidis, Georgios 2 Nguyen, Toan Trong 2 Speck, Jared 2 Székelyhidi, László jun. 2 Tataru, Daniel 2 Wei, Dongyi 1 Ai, Albert 1 Alberti, Giovanni 1 Andersson, Lars Åke 1 Antonelli, Paolo 1 Banica, Valeria 1 Beekie, Rajendra 1 Bernier, Joackim 1 Bodineau, Thierry 1 Brézis, Haïm 1 Bringmann, Björn 1 Buckmaster, Tristan 1 Caffarelli, Luis Ángel 1 Cagnetti, Filippo 1 Candy, Timothy 1 Carrapatoso, Kleber 1 Charro, Fernando 1 Chaturvedi, Sanchit 1 Chen, Gui-Qiang G. 1 Chen, Tiancong 1 Cheskidov, Alexey 1 Chiodaroli, Elisabetta 1 Christodoulou, Demetrios 1 Chu, Jianchun 1 Cirant, Marco 1 Collins, Tristan Clifford 1 Collot, Charles 1 Colombo, Maria 1 Coron, Jean-Michel 1 Costa, João Lopes 1 Coti Zelati, Michele 1 Crippa, Gianluca 1 Cuccagna, Scipio 1 Czimek, Stefan 1 Dafermos, Mihalis 1 Dal Maso, Gianni 1 Daneri, Sara 1 De Lellis, Camillo 1 Di Gesù, Giacomo 1 Dietert, Helge 1 Dodson, Benjamin G. 1 Dolce, Michele 1 Enciso, Alberto 1 Esposito, Raffaele 1 Fang, Allen 1 Faou, Erwan 1 Faraco, Daniel 1 Feireisl, Eduard 1 Friedlander, Susan Jean 1 Galkowski, Jeffrey 1 Gallagher, Isabelle 1 García-Juárez, Eduardo 1 Gavrus, Cristian 1 Gérard-Varet, David 1 Gerard, Patrick 1 Ghoul, Tej-Eddine 1 Giorgi, Elena Edi 1 Girão, Pedro Martins 1 Glatt-Holtz, Nathan E. 1 Gloria, Antoine 1 Goffi, Alessandro 1 Grébert, Benoît 1 Grenier, Emmanuel 1 Grubic, Nastasia 1 Gudapati, Nishanth 1 Guo, Yan ...and 112 more Authors
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### Fields

 114 Partial differential equations (35-XX) 37 Fluid mechanics (76-XX) 17 Relativity and gravitational theory (83-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Differential geometry (53-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

98 Publications have been cited 995 times in 791 Documents Cited by Year
Landau damping: paraproducts and Gevrey regularity. Zbl 1402.35058
Bedrossian, Jacob; Masmoudi, Nader; Mouhot, Clément
2016
Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate. Zbl 1403.35204
Guo, Yan; Nguyen, Toan T.
2017
Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300
Li, Jing; Xin, Zhouping
2019
On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170
He, Ling-Bing; Xu, Li; Yu, Pin
2018
Stationary solutions to the Boltzmann equation in the hydrodynamic limit. Zbl 1403.35195
Esposito, Raffaele; Guo, Yan; Kim, Chanwoo; Marra, Rossana
2018
Hölder continuous solutions of active scalar equations. Zbl 1395.35061
2015
Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case $$|a|\ll M$$. Zbl 1428.35585
Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor
2019
The $$r^{p}$$-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications. Zbl 1397.35031
Moschidis, Georgios
2016
The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system. Zbl 1471.35270
Taylor, Martin
2017
Edge states in honeycomb structures. Zbl 1404.35128
Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I.
2016
Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2016
Non-uniqueness for the transport equation with Sobolev vector fields. Zbl 1411.35066
Modena, Stefano; Székelyhidi, László jun.
2018
Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes. Zbl 1396.83018
Hintz, Peter
2018
Critical SQG in bounded domains. Zbl 1397.35202
Constantin, Peter; Ignatova, Mihaela
2016
Well-posedness of the Prandtl equations without any structural assumption. Zbl 1428.35355
Dietert, Helge; Gérard-Varet, David
2019
Small data solutions of the Vlasov-Poisson system and the vector field method. Zbl 1397.35033
Smulevici, Jacques
2016
Non-local functionals related to the total variation and connections with image processing. Zbl 1398.49042
Brezis, Haïm; Nguyen, Hoai-Minh
2018
Linear inviscid damping and vorticity depletion for shear flows. Zbl 1428.35336
Wei, Dongyi; Zhang, Zhifei; Zhao, Weiren
2019
From hard sphere dynamics to the Stokes-Fourier equations: an $$L^2$$ analysis of the Boltzmann-Grad limit. Zbl 1403.35194
Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure
2017
On the $$C^{1,1}$$ regularity of geodesics in the space of Kähler metrics. Zbl 1397.35050
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
2017
Unique continuation for fractional orders of elliptic equations. Zbl 1397.35048
Yu, Hui
2017
Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations. Zbl 1428.35321
Bedrossian, Jacob; Coti Zelati, Michele; Vicol, Vlad
2019
Landau equation for very soft and Coulomb potentials near maxwellians. Zbl 1404.35043
Carrapatoso, K.; Mischler, S.
2017
On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant. III: Mass inflation and extendibility of the solutions. Zbl 1396.83005
Costa, João L.; Girão, Pedro M.; Natário, José; Drumond Silva, Jorge
2017
On the dynamics of floating structures. Zbl 1403.35239
Lannes, David
2017
The anomaly flow and the Fu-Yau equation. Zbl 1410.81030
Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen
2018
A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes. Zbl 1421.35025
Angelopoulos, Y.; Aretakis, S.; Gajic, D.
2018
Stable shock formation for nearly simple outgoing plane symmetric waves. Zbl 1402.35173
Speck, Jared; Holzegel, Gustav; Luk, Jonathan; Wong, Willie
2016
Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237
Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel
2017
Finite-time singularity formation for strong solutions to the axi-symmetric $$3D$$ Euler equations. Zbl 1436.35055
Elgindi, Tarek M.; Jeong, In-Jee
2019
Shock development in spherical symmetry. Zbl 1402.35172
Christodoulou, Demetrios; Lisibach, André
2016
Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes. Zbl 1402.35046
Moschidis, Georgios
2016
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062
Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre
2018
On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows. Zbl 1439.35370
Ibrahim, Slim; Maekawa, Yasunori; Masmoudi, Nader
2019
$$L^\infty$$ instability of Prandtl layers. Zbl 1436.35037
Grenier, Emmanuel; Nguyen, Toan T.
2019
Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. Zbl 1397.35181
Tao, Terence
2016
Concentration compactness for the critical Maxwell-Klein-Gordon equation. Zbl 1406.35181
Krieger, Joachim; Lührmann, Jonas
2015
Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation. Zbl 1403.35263
Dodson, Benjamin
2017
Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation. Zbl 1397.35024
Bedrossian, Jacob
2017
On the global stability of the wave-map equation in Kerr spaces with small angular momentum. Zbl 1396.83006
Ionescu, Alexandru D.; Klainerman, Sergiu
2015
On a fractional Monge-Ampère operator. Zbl 1393.35268
Caffarelli, Luis; Charro, Fernando
2015
The characteristic gluing problem and conservation laws for the wave equation on null hypersurfaces. Zbl 1398.58012
Aretakis, Stefanos
2017
Global regularity for 2D Boussinesq temperature patches with no diffusion. Zbl 1403.35236
Gancedo, Francisco; García-Juárez, Eduardo
2017
Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367
Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping
2019
Sharp asymptotics of the first exit point density. Zbl 1431.60087
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris
2019
Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069
Luk, Jonathan
2019
Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
2017
Geometric analysis of the linear Boltzmann equation. I: Trend to equilibrium. Zbl 1398.35142
Han-Kwan, Daniel; Léautaud, Matthieu
2015
Local well-posedness of the $$(4 + 1)$$-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273
Oh, Sung-Jin; Tataru, Daniel
2016
Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282
Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad
2020
Global regularity for the 2+1 dimensional equivariant Einstein-wave map system. Zbl 1403.35290
Andersson, Lars; Gudapati, Nishanth; Szeftel, Jérémie
2017
An extension procedure for the constraint equations. Zbl 1403.35287
Czimek, Stefan
2018
Stability of Minkowski space-time with a translation space-like Killing field. Zbl 1403.35291
Huneau, Cécile
2018
The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge. Zbl 1436.35038
Johnson, Thomas William
2019
Rational normal forms and stability of small solutions to nonlinear Schrödinger equations. Zbl 1475.37080
Bernier, Joackim; Faou, Erwan; Grébert, Benoît
2020
Finite-time singularity formation for strong solutions to the Boussinesq system. Zbl 1462.35287
Elgindi, Tarek M.; Jeong, In-Jee
2020
Evolution of polygonal lines by the binormal flow. Zbl 1462.35279
Banica, Valeria; Vega, Luis
2020
Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region. Zbl 1428.35588
Luk, Jonathan; Oh, Sung-Jin
2019
Loss of regularity for the continuity equation with non-Lipschitz velocity field. Zbl 1422.76078
Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L.
2019
Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
2019
Scaling and saturation in infinite-dimensional control problems with applications to stochastic partial differential equations. Zbl 1410.35118
Glatt-Holtz, Nathan E.; Herzog, David P.; Mattingly, Jonathan C.
2018
Ill-posedness for the incompressible Euler equations in critical Sobolev spaces. Zbl 1403.35218
Elgindi, Tarek Mohamed; Jeong, In-Jee
2017
A geometric approach for sharp local well-posedness of quasilinear wave equations. Zbl 1397.35158
Wang, Qian
2017
Shock formation for 2$$D$$ quasilinear wave systems featuring multiple speeds: blowup for the fastest wave, with non-trivial interactions up to the singularity. Zbl 1400.35182
Speck, Jared
2018
On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430
Alazard, Thomas; Nguyen, Quoc-Hung
2021
Stabilization of the water-wave equations with surface tension. Zbl 1403.35226
Alazard, Thomas
2017
Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms. Zbl 1403.35292
Luk, Jonathan; Oh, Sung-Jin; Yang, Shiwu
2018
Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation. Zbl 1406.35252
Jerrard, Robert L.; Smets, Didier
2018
Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing. Zbl 1420.35392
Duerinckx, Mitia; Serfaty, Sylvia
2018
On the formation of shock for quasilinear wave equations with weak intensity pulse. Zbl 1400.35181
Miao, Shuang
2018
Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field. Zbl 1469.35033
Fang, Allen; Wang, Qian; Yang, Shiwu
2021
On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473
Gancedo, Francisco; Patel, Neel
2021
Non-uniqueness for the Euler equations up to Onsager’s critical exponent. Zbl 1478.35171
Daneri, Sara; Runa, Eris; Székelyhidi, László
2021
A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne
2021
Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007
Collins, Tristan C.; Yau, Shing-Tung
2021
Stability of Minkowski space and polyhomogeneity of the metric. Zbl 1462.35389
Hintz, Peter; Vasy, András
2020
Solutions to a class of forced drift-diffusion equations with applications to the magneto-geostrophic equations. Zbl 1407.76024
Friedlander, Susan; Suen, Anthony
2018
On the division problem for the wave maps equation. Zbl 1411.35198
Candy, Timothy; Herr, Sebastian
2018
On convergence of approximate solutions to the compressible Euler system. Zbl 1448.35375
Feireisl, Eduard; Hofmanová, Martina
2020
Stability in exponential time of Minkowski space-time with a translation space-like Killing field. Zbl 1402.35040
Huneau, Cécile
2016
Sharp decay estimates for the logarithmic fast diffusion equation and the Ricci flow on surfaces. Zbl 1397.35034
Topping, Peter M.; Yin, Hao
2017
Maximal $$L^q$$-regularity for parabolic Hamilton-Jacobi equations and applications to mean field games. Zbl 07500399
Cirant, Marco; Goffi, Alessandro
2021
Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data. Zbl 07500402
Jang, Juhi; Kim, Chanwoo
2021
Nonuniqueness of weak solutions for the transport equation at critical space regularity. Zbl 1469.35001
Cheskidov, Alexey; Luo, Xiaoyutao
2021
Global well-posedness for the massive Maxwell-Klein-Gordon equation with small critical Sobolev data. Zbl 1423.35246
Gavrus, Cristian
2019
On the motion of a compressible gravity water wave with vorticity. Zbl 1414.35158
Luo, Chenyun
2018
Sedimentation of random suspensions and the effect of hyperuniformity. Zbl 07500394
Duerinckx, Mitia; Gloria, Antoine
2022
Variational approach to regularity of optimal transport maps: general cost functions. Zbl 07500397
Otto, Felix; Prod’homme, Maxime; Ried, Tobias
2021
Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. Zbl 07500407
Cuccagna, Scipio; Maeda, Masaya
2021
Estimates near the boundary for critical SQG. Zbl 1439.35393
Constantin, Peter; Ignatova, Mihaela
2020
A type II blowup for the six dimensional energy critical heat equation. Zbl 1469.35056
2020
On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold. Zbl 1469.35066
Zillinger, Christian
2021
Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 07531775
Castro, Á.; Faraco, D.; Mengual, F.
2022
Low regularity solutions for gravity water waves II: the 2D case. Zbl 1462.35275
Ai, Albert
2020
The linear stability of Reissner-Nordström spacetime for small charge. Zbl 1462.35388
Giorgi, Elena
2020
Smooth local solutions to degenerate hyperbolic Monge-Ampère equations. Zbl 1423.35254
Chen, Tiancong
2019
Emergence of apparent horizon in gravitational collapse. Zbl 1448.35506
An, Xinliang
2020
Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes. Zbl 1448.35503
Angelopoulos, Y.; Aretakis, S.; Gajic, D.
2020
Sedimentation of random suspensions and the effect of hyperuniformity. Zbl 07500394
Duerinckx, Mitia; Gloria, Antoine
2022
Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 07531775
Castro, Á.; Faraco, D.; Mengual, F.
2022
On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430
Alazard, Thomas; Nguyen, Quoc-Hung
2021
Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field. Zbl 1469.35033
Fang, Allen; Wang, Qian; Yang, Shiwu
2021
On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473
Gancedo, Francisco; Patel, Neel
2021
Non-uniqueness for the Euler equations up to Onsager’s critical exponent. Zbl 1478.35171
Daneri, Sara; Runa, Eris; Székelyhidi, László
2021
A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne
2021
Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007
Collins, Tristan C.; Yau, Shing-Tung
2021
Maximal $$L^q$$-regularity for parabolic Hamilton-Jacobi equations and applications to mean field games. Zbl 07500399
Cirant, Marco; Goffi, Alessandro
2021
Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data. Zbl 07500402
Jang, Juhi; Kim, Chanwoo
2021
Nonuniqueness of weak solutions for the transport equation at critical space regularity. Zbl 1469.35001
Cheskidov, Alexey; Luo, Xiaoyutao
2021
Variational approach to regularity of optimal transport maps: general cost functions. Zbl 07500397
Otto, Felix; Prod&rsquo;homme, Maxime; Ried, Tobias
2021
Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. Zbl 07500407
Cuccagna, Scipio; Maeda, Masaya
2021
On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold. Zbl 1469.35066
Zillinger, Christian
2021
Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282
Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad
2020
Rational normal forms and stability of small solutions to nonlinear Schrödinger equations. Zbl 1475.37080
Bernier, Joackim; Faou, Erwan; Grébert, Benoît
2020
Finite-time singularity formation for strong solutions to the Boussinesq system. Zbl 1462.35287
Elgindi, Tarek M.; Jeong, In-Jee
2020
Evolution of polygonal lines by the binormal flow. Zbl 1462.35279
Banica, Valeria; Vega, Luis
2020
Stability of Minkowski space and polyhomogeneity of the metric. Zbl 1462.35389
Hintz, Peter; Vasy, András
2020
On convergence of approximate solutions to the compressible Euler system. Zbl 1448.35375
Feireisl, Eduard; Hofmanová, Martina
2020
Estimates near the boundary for critical SQG. Zbl 1439.35393
Constantin, Peter; Ignatova, Mihaela
2020
A type II blowup for the six dimensional energy critical heat equation. Zbl 1469.35056
2020
Low regularity solutions for gravity water waves II: the 2D case. Zbl 1462.35275
Ai, Albert
2020
The linear stability of Reissner-Nordström spacetime for small charge. Zbl 1462.35388
Giorgi, Elena
2020
Emergence of apparent horizon in gravitational collapse. Zbl 1448.35506
An, Xinliang
2020
Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes. Zbl 1448.35503
Angelopoulos, Y.; Aretakis, S.; Gajic, D.
2020
Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300
Li, Jing; Xin, Zhouping
2019
Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case $$|a|\ll M$$. Zbl 1428.35585
Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor
2019
Well-posedness of the Prandtl equations without any structural assumption. Zbl 1428.35355
Dietert, Helge; Gérard-Varet, David
2019
Linear inviscid damping and vorticity depletion for shear flows. Zbl 1428.35336
Wei, Dongyi; Zhang, Zhifei; Zhao, Weiren
2019
Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations. Zbl 1428.35321
Bedrossian, Jacob; Coti Zelati, Michele; Vicol, Vlad
2019
Finite-time singularity formation for strong solutions to the axi-symmetric $$3D$$ Euler equations. Zbl 1436.35055
Elgindi, Tarek M.; Jeong, In-Jee
2019
On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows. Zbl 1439.35370
Ibrahim, Slim; Maekawa, Yasunori; Masmoudi, Nader
2019
$$L^\infty$$ instability of Prandtl layers. Zbl 1436.35037
Grenier, Emmanuel; Nguyen, Toan T.
2019
Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367
Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping
2019
Sharp asymptotics of the first exit point density. Zbl 1431.60087
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris
2019
Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069
Luk, Jonathan
2019
The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge. Zbl 1436.35038
Johnson, Thomas William
2019
Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region. Zbl 1428.35588
Luk, Jonathan; Oh, Sung-Jin
2019
Loss of regularity for the continuity equation with non-Lipschitz velocity field. Zbl 1422.76078
Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L.
2019
Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
2019
Global well-posedness for the massive Maxwell-Klein-Gordon equation with small critical Sobolev data. Zbl 1423.35246
Gavrus, Cristian
2019
Smooth local solutions to degenerate hyperbolic Monge-Ampère equations. Zbl 1423.35254
Chen, Tiancong
2019
On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170
He, Ling-Bing; Xu, Li; Yu, Pin
2018
Stationary solutions to the Boltzmann equation in the hydrodynamic limit. Zbl 1403.35195
Esposito, Raffaele; Guo, Yan; Kim, Chanwoo; Marra, Rossana
2018
Non-uniqueness for the transport equation with Sobolev vector fields. Zbl 1411.35066
Modena, Stefano; Székelyhidi, László jun.
2018
Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes. Zbl 1396.83018
Hintz, Peter
2018
Non-local functionals related to the total variation and connections with image processing. Zbl 1398.49042
Brezis, Haïm; Nguyen, Hoai-Minh
2018
The anomaly flow and the Fu-Yau equation. Zbl 1410.81030
Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen
2018
A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes. Zbl 1421.35025
Angelopoulos, Y.; Aretakis, S.; Gajic, D.
2018
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062
Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre
2018
An extension procedure for the constraint equations. Zbl 1403.35287
Czimek, Stefan
2018
Stability of Minkowski space-time with a translation space-like Killing field. Zbl 1403.35291
Huneau, Cécile
2018
Scaling and saturation in infinite-dimensional control problems with applications to stochastic partial differential equations. Zbl 1410.35118
Glatt-Holtz, Nathan E.; Herzog, David P.; Mattingly, Jonathan C.
2018
Shock formation for 2$$D$$ quasilinear wave systems featuring multiple speeds: blowup for the fastest wave, with non-trivial interactions up to the singularity. Zbl 1400.35182
Speck, Jared
2018
Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms. Zbl 1403.35292
Luk, Jonathan; Oh, Sung-Jin; Yang, Shiwu
2018
Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation. Zbl 1406.35252
Jerrard, Robert L.; Smets, Didier
2018
Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing. Zbl 1420.35392
Duerinckx, Mitia; Serfaty, Sylvia
2018
On the formation of shock for quasilinear wave equations with weak intensity pulse. Zbl 1400.35181
Miao, Shuang
2018
Solutions to a class of forced drift-diffusion equations with applications to the magneto-geostrophic equations. Zbl 1407.76024
Friedlander, Susan; Suen, Anthony
2018
On the division problem for the wave maps equation. Zbl 1411.35198
Candy, Timothy; Herr, Sebastian
2018
On the motion of a compressible gravity water wave with vorticity. Zbl 1414.35158
Luo, Chenyun
2018
Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate. Zbl 1403.35204
Guo, Yan; Nguyen, Toan T.
2017
The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system. Zbl 1471.35270
Taylor, Martin
2017
From hard sphere dynamics to the Stokes-Fourier equations: an $$L^2$$ analysis of the Boltzmann-Grad limit. Zbl 1403.35194
Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure
2017
On the $$C^{1,1}$$ regularity of geodesics in the space of Kähler metrics. Zbl 1397.35050
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
2017
Unique continuation for fractional orders of elliptic equations. Zbl 1397.35048
Yu, Hui
2017
Landau equation for very soft and Coulomb potentials near maxwellians. Zbl 1404.35043
Carrapatoso, K.; Mischler, S.
2017
On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant. III: Mass inflation and extendibility of the solutions. Zbl 1396.83005
Costa, João L.; Girão, Pedro M.; Natário, José; Drumond Silva, Jorge
2017
On the dynamics of floating structures. Zbl 1403.35239
Lannes, David
2017
Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237
Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel
2017
Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation. Zbl 1403.35263
Dodson, Benjamin
2017
Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation. Zbl 1397.35024
Bedrossian, Jacob
2017
The characteristic gluing problem and conservation laws for the wave equation on null hypersurfaces. Zbl 1398.58012
Aretakis, Stefanos
2017
Global regularity for 2D Boussinesq temperature patches with no diffusion. Zbl 1403.35236
Gancedo, Francisco; García-Juárez, Eduardo
2017
Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
2017
Global regularity for the 2+1 dimensional equivariant Einstein-wave map system. Zbl 1403.35290
Andersson, Lars; Gudapati, Nishanth; Szeftel, Jérémie
2017
Ill-posedness for the incompressible Euler equations in critical Sobolev spaces. Zbl 1403.35218
Elgindi, Tarek Mohamed; Jeong, In-Jee
2017
A geometric approach for sharp local well-posedness of quasilinear wave equations. Zbl 1397.35158
Wang, Qian
2017
Stabilization of the water-wave equations with surface tension. Zbl 1403.35226
Alazard, Thomas
2017
Sharp decay estimates for the logarithmic fast diffusion equation and the Ricci flow on surfaces. Zbl 1397.35034
Topping, Peter M.; Yin, Hao
2017
Landau damping: paraproducts and Gevrey regularity. Zbl 1402.35058
Bedrossian, Jacob; Masmoudi, Nader; Mouhot, Clément
2016
The $$r^{p}$$-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications. Zbl 1397.35031
Moschidis, Georgios
2016
Edge states in honeycomb structures. Zbl 1404.35128
Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I.
2016
Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
2016
Critical SQG in bounded domains. Zbl 1397.35202
Constantin, Peter; Ignatova, Mihaela
2016
Small data solutions of the Vlasov-Poisson system and the vector field method. Zbl 1397.35033
Smulevici, Jacques
2016
Stable shock formation for nearly simple outgoing plane symmetric waves. Zbl 1402.35173
Speck, Jared; Holzegel, Gustav; Luk, Jonathan; Wong, Willie
2016
Shock development in spherical symmetry. Zbl 1402.35172
Christodoulou, Demetrios; Lisibach, André
2016
Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes. Zbl 1402.35046
Moschidis, Georgios
2016
Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. Zbl 1397.35181
Tao, Terence
2016
Local well-posedness of the $$(4 + 1)$$-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273
Oh, Sung-Jin; Tataru, Daniel
2016
Stability in exponential time of Minkowski space-time with a translation space-like Killing field. Zbl 1402.35040
Huneau, Cécile
2016
Hölder continuous solutions of active scalar equations. Zbl 1395.35061
2015
Concentration compactness for the critical Maxwell-Klein-Gordon equation. Zbl 1406.35181
Krieger, Joachim; Lührmann, Jonas
2015
On the global stability of the wave-map equation in Kerr spaces with small angular momentum. Zbl 1396.83006
Ionescu, Alexandru D.; Klainerman, Sergiu
2015
On a fractional Monge-Ampère operator. Zbl 1393.35268
Caffarelli, Luis; Charro, Fernando
2015
Geometric analysis of the linear Boltzmann equation. I: Trend to equilibrium. Zbl 1398.35142
Han-Kwan, Daniel; Léautaud, Matthieu
2015
all top 5

### Cited by 926 Authors

 13 Bedrossian, Jacob 11 Zhang, Zhifei 10 Gajic, Dejan 10 Wu, Jiahong 9 Elgindi, Tarek Mohamed 9 Jeong, In-Jee 9 Oh, Sung-Jin 9 Speck, Jared 8 Angelopoulos, Yannis 8 Aretakis, Stefanos 8 Castro, Ángel 8 Cordoba, Diego 8 Gómez-Serrano, Javier 8 Masmoudi, Nader 8 Weinstein, Michael I. 7 De Lellis, Camillo 7 Hintz, Peter 7 Hmidi, Taoufik 7 Iyer, Sameer 7 Luk, Jonathan 7 Tao, Tao 7 Vicol, Vlad C. 7 Zhong, Xin 7 Zillinger, Christian 6 Alazard, Thomas 6 Colombo, Maria 6 Costa, João Lopes 6 Ding, Shijin 6 Drouot, Alexis 6 Duan, Renjun 6 Fajman, David 6 Nguyen, Hoai-Minh 6 Nguyen, Toan Trong 6 Paicu, Marius 6 Rüland, Angkana 6 Székelyhidi, László jun. 6 Tataru, Daniel 6 Wei, Dongyi 6 Zhang, Ping 5 Coti Zelati, Michele 5 Disconzi, Marcelo Mendes 5 Giorgi, Elena Edi 5 Han-Kwan, Daniel 5 Ibrahim, Slim 5 Kim, Chanwoo 5 Lin, Zhilin 5 Picard, Sebastien 5 Rodnianski, Igor 5 Rousset, Frédéric 5 Shlapentokh-Rothman, Yakov 5 Smulevici, Jacques 5 Snelson, Stanley 5 Squassina, Marco 5 Wang, Yong 5 Xin, Zhouping 4 Alonso-Orán, Diego 4 Bigorgne, Léo 4 Blumenthal, Alex 4 Bruè, Elia 4 Candy, Timothy 4 Chen, Hongxu 4 Choi, Kyudong 4 Constantin, Peter 4 Córdoba Barba, Antonio Juan 4 Dafermos, Mihalis 4 Faraco, Daniel 4 Feireisl, Eduard 4 Gancedo, Francisco 4 Garcia, Claudia I. 4 Gérard-Varet, David 4 Ignatova, Mihaela 4 Isett, Philip 4 Kukavica, Igor 4 Lelièvre, Tony 4 Lindblad, Hans 4 Luo, Chenyun 4 Maekawa, Yasunori 4 Mateu, Joan 4 Modena, Stefano 4 Novack, Matthew D. 4 Phong, Duong Hong 4 Wang, Fei 4 Watson, Alexander B. 4 Xie, Feng 4 Yang, Tong 4 Zhang, Liqun 4 Zhang, Xiangwen 4 Zhou, Yi 4 Zhu, Ning 3 Bao, Gejun 3 Bernier, Joackim 3 Besse, Nicolas 3 Chen, Xueying 3 Chu, Jianchun 3 Crippa, Gianluca 3 Czimek, Stefan 3 Dalibard, Anne-Laure 3 De Rosa, Luigi 3 Denlinger, Ryan 3 Destounis, Kyriakos ...and 826 more Authors
all top 5

### Cited in 141 Journals

 62 Archive for Rational Mechanics and Analysis 58 Communications in Mathematical Physics 52 SIAM Journal on Mathematical Analysis 41 Annals of PDE 33 Advances in Mathematics 32 Journal of Differential Equations 25 Annales Henri Poincaré 24 Nonlinearity 20 Calculus of Variations and Partial Differential Equations 19 Journal of Functional Analysis 16 Classical and Quantum Gravity 15 Journal of Statistical Physics 13 Journal of Mathematical Physics 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Journal of Mathematical Fluid Mechanics 11 Communications in Partial Differential Equations 11 Journal of Nonlinear Science 9 Discrete and Continuous Dynamical Systems 9 Journal of Hyperbolic Differential Equations 9 Kinetic and Related Models 9 Séminaire Laurent Schwartz. EDP et Applications 8 Transactions of the American Mathematical Society 8 Analysis & PDE 7 Journal of Mathematical Analysis and Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Mathematische Annalen 7 Bulletin of the American Mathematical Society. New Series 7 Communications on Pure and Applied Analysis 6 Inventiones Mathematicae 6 Quarterly of Applied Mathematics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Annals of Mathematics. Second Series 6 Journal of High Energy Physics 6 Science China. Mathematics 5 The Journal of Geometric Analysis 5 NoDEA. Nonlinear Differential Equations and Applications 4 General Relativity and Gravitation 4 Duke Mathematical Journal 4 Memoirs of the American Mathematical Society 4 Physica D 4 Applied Mathematics Letters 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Discrete and Continuous Dynamical Systems. Series B 3 Physics Letters. A 3 Annales de l’Institut Fourier 3 Journal of Differential Geometry 3 Stochastic Processes and their Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Contemporary Mathematics 3 Nonlinear Analysis. Real World Applications 3 Journal of Evolution Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal de l’École Polytechnique – Mathématiques 3 Journal of Elliptic and Parabolic Equations 3 Pure and Applied Analysis 3 Water Waves 2 Journal of Fluid Mechanics 2 Physics Letters. B 2 American Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Annals of Global Analysis and Geometry 2 The Annals of Applied Probability 2 Geometric and Functional Analysis. GAFA 2 Journal of Dynamics and Differential Equations 2 Taiwanese Journal of Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Complex Variables and Elliptic Equations 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 2 Mathematical Control and Related Fields 2 S$$\vec{\text{e}}$$MA Journal 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Peking Mathematical Journal 2 Annales Henri Lebesgue 2 Ars Inveniendi Analytica 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics ...and 41 more Journals
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### Cited in 42 Fields

 678 Partial differential equations (35-XX) 334 Fluid mechanics (76-XX) 121 Relativity and gravitational theory (83-XX) 76 Statistical mechanics, structure of matter (82-XX) 75 Differential geometry (53-XX) 45 Quantum theory (81-XX) 39 Global analysis, analysis on manifolds (58-XX) 29 Geophysics (86-XX) 27 Operator theory (47-XX) 27 Probability theory and stochastic processes (60-XX) 25 Dynamical systems and ergodic theory (37-XX) 19 Real functions (26-XX) 19 Optics, electromagnetic theory (78-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Functional analysis (46-XX) 15 Numerical analysis (65-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Systems theory; control (93-XX) 11 Mechanics of deformable solids (74-XX) 10 Ordinary differential equations (34-XX) 9 Mechanics of particles and systems (70-XX) 8 Measure and integration (28-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Astronomy and astrophysics (85-XX) 4 Functions of a complex variable (30-XX) 4 Integral equations (45-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 3 Biology and other natural sciences (92-XX) 2 $$K$$-theory (19-XX) 2 Special functions (33-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)