Annals of PDEJournal 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. all top 5 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) all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1402.35058Bedrossian, Jacob; Masmoudi, Nader; Mouhot, Clément 40 2016 Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate. Zbl 1403.35204Guo, Yan; Nguyen, Toan T. 36 2017 Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300Li, Jing; Xin, Zhouping 34 2019 On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170He, Ling-Bing; Xu, Li; Yu, Pin 33 2018 Stationary solutions to the Boltzmann equation in the hydrodynamic limit. Zbl 1403.35195Esposito, Raffaele; Guo, Yan; Kim, Chanwoo; Marra, Rossana 32 2018 Hölder continuous solutions of active scalar equations. Zbl 1395.35061Isett, Philip; Vicol, Vlad 32 2015 Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\). Zbl 1428.35585Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor 30 2019 The \(r^{p}\)-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications. Zbl 1397.35031Moschidis, Georgios 29 2016 The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system. Zbl 1471.35270Taylor, Martin 27 2017 Edge states in honeycomb structures. Zbl 1404.35128Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 24 2016 Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier 24 2016 Non-uniqueness for the transport equation with Sobolev vector fields. Zbl 1411.35066Modena, Stefano; Székelyhidi, László jun. 23 2018 Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes. Zbl 1396.83018Hintz, Peter 22 2018 Critical SQG in bounded domains. Zbl 1397.35202Constantin, Peter; Ignatova, Mihaela 21 2016 Well-posedness of the Prandtl equations without any structural assumption. Zbl 1428.35355Dietert, Helge; Gérard-Varet, David 20 2019 Small data solutions of the Vlasov-Poisson system and the vector field method. Zbl 1397.35033Smulevici, Jacques 19 2016 Non-local functionals related to the total variation and connections with image processing. Zbl 1398.49042Brezis, Haïm; Nguyen, Hoai-Minh 18 2018 Linear inviscid damping and vorticity depletion for shear flows. Zbl 1428.35336Wei, Dongyi; Zhang, Zhifei; Zhao, Weiren 17 2019 From hard sphere dynamics to the Stokes-Fourier equations: an \(L^2\) analysis of the Boltzmann-Grad limit. Zbl 1403.35194Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure 15 2017 On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics. Zbl 1397.35050Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben 15 2017 Unique continuation for fractional orders of elliptic equations. Zbl 1397.35048Yu, Hui 15 2017 Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations. Zbl 1428.35321Bedrossian, Jacob; Coti Zelati, Michele; Vicol, Vlad 15 2019 Landau equation for very soft and Coulomb potentials near maxwellians. Zbl 1404.35043Carrapatoso, K.; Mischler, S. 14 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 1396.83005Costa, João L.; Girão, Pedro M.; Natário, José; Drumond Silva, Jorge 14 2017 On the dynamics of floating structures. Zbl 1403.35239Lannes, David 14 2017 The anomaly flow and the Fu-Yau equation. Zbl 1410.81030Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 14 2018 A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes. Zbl 1421.35025Angelopoulos, Y.; Aretakis, S.; Gajic, D. 14 2018 Stable shock formation for nearly simple outgoing plane symmetric waves. Zbl 1402.35173Speck, Jared; Holzegel, Gustav; Luk, Jonathan; Wong, Willie 13 2016 Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel 13 2017 Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations. Zbl 1436.35055Elgindi, Tarek M.; Jeong, In-Jee 13 2019 Shock development in spherical symmetry. Zbl 1402.35172Christodoulou, Demetrios; Lisibach, André 12 2016 Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes. Zbl 1402.35046Moschidis, Georgios 12 2016 A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre 12 2018 On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows. Zbl 1439.35370Ibrahim, Slim; Maekawa, Yasunori; Masmoudi, Nader 12 2019 \(L^\infty\) instability of Prandtl layers. Zbl 1436.35037Grenier, Emmanuel; Nguyen, Toan T. 12 2019 Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. Zbl 1397.35181Tao, Terence 11 2016 Concentration compactness for the critical Maxwell-Klein-Gordon equation. Zbl 1406.35181Krieger, Joachim; Lührmann, Jonas 11 2015 Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation. Zbl 1403.35263Dodson, Benjamin 10 2017 Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation. Zbl 1397.35024Bedrossian, Jacob 9 2017 On the global stability of the wave-map equation in Kerr spaces with small angular momentum. Zbl 1396.83006Ionescu, Alexandru D.; Klainerman, Sergiu 9 2015 On a fractional Monge-Ampère operator. Zbl 1393.35268Caffarelli, Luis; Charro, Fernando 9 2015 The characteristic gluing problem and conservation laws for the wave equation on null hypersurfaces. Zbl 1398.58012Aretakis, Stefanos 8 2017 Global regularity for 2D Boussinesq temperature patches with no diffusion. Zbl 1403.35236Gancedo, Francisco; García-Juárez, Eduardo 8 2017 Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping 8 2019 Sharp asymptotics of the first exit point density. Zbl 1431.60087Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris 8 2019 Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069Luk, Jonathan 8 2019 Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 7 2017 Geometric analysis of the linear Boltzmann equation. I: Trend to equilibrium. Zbl 1398.35142Han-Kwan, Daniel; Léautaud, Matthieu 7 2015 Local well-posedness of the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273Oh, Sung-Jin; Tataru, Daniel 7 2016 Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad 7 2020 Global regularity for the 2+1 dimensional equivariant Einstein-wave map system. Zbl 1403.35290Andersson, Lars; Gudapati, Nishanth; Szeftel, Jérémie 6 2017 An extension procedure for the constraint equations. Zbl 1403.35287Czimek, Stefan 6 2018 Stability of Minkowski space-time with a translation space-like Killing field. Zbl 1403.35291Huneau, Cécile 6 2018 The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge. Zbl 1436.35038Johnson, Thomas William 6 2019 Rational normal forms and stability of small solutions to nonlinear Schrödinger equations. Zbl 1475.37080Bernier, Joackim; Faou, Erwan; Grébert, Benoît 6 2020 Finite-time singularity formation for strong solutions to the Boussinesq system. Zbl 1462.35287Elgindi, Tarek M.; Jeong, In-Jee 6 2020 Evolution of polygonal lines by the binormal flow. Zbl 1462.35279Banica, Valeria; Vega, Luis 6 2020 Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region. Zbl 1428.35588Luk, Jonathan; Oh, Sung-Jin 6 2019 Loss of regularity for the continuity equation with non-Lipschitz velocity field. Zbl 1422.76078Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L. 6 2019 Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 6 2019 Scaling and saturation in infinite-dimensional control problems with applications to stochastic partial differential equations. Zbl 1410.35118Glatt-Holtz, Nathan E.; Herzog, David P.; Mattingly, Jonathan C. 6 2018 Ill-posedness for the incompressible Euler equations in critical Sobolev spaces. Zbl 1403.35218Elgindi, Tarek Mohamed; Jeong, In-Jee 5 2017 A geometric approach for sharp local well-posedness of quasilinear wave equations. Zbl 1397.35158Wang, Qian 5 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 1400.35182Speck, Jared 5 2018 On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430Alazard, Thomas; Nguyen, Quoc-Hung 5 2021 Stabilization of the water-wave equations with surface tension. Zbl 1403.35226Alazard, Thomas 4 2017 Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms. Zbl 1403.35292Luk, Jonathan; Oh, Sung-Jin; Yang, Shiwu 4 2018 Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation. Zbl 1406.35252Jerrard, Robert L.; Smets, Didier 4 2018 Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing. Zbl 1420.35392Duerinckx, Mitia; Serfaty, Sylvia 4 2018 On the formation of shock for quasilinear wave equations with weak intensity pulse. Zbl 1400.35181Miao, Shuang 3 2018 Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field. Zbl 1469.35033Fang, Allen; Wang, Qian; Yang, Shiwu 3 2021 On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473Gancedo, Francisco; Patel, Neel 3 2021 Non-uniqueness for the Euler equations up to Onsager’s critical exponent. Zbl 1478.35171Daneri, Sara; Runa, Eris; Székelyhidi, László 3 2021 A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne 3 2021 Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007Collins, Tristan C.; Yau, Shing-Tung 3 2021 Stability of Minkowski space and polyhomogeneity of the metric. Zbl 1462.35389Hintz, Peter; Vasy, András 3 2020 Solutions to a class of forced drift-diffusion equations with applications to the magneto-geostrophic equations. Zbl 1407.76024Friedlander, Susan; Suen, Anthony 3 2018 On the division problem for the wave maps equation. Zbl 1411.35198Candy, Timothy; Herr, Sebastian 3 2018 On convergence of approximate solutions to the compressible Euler system. Zbl 1448.35375Feireisl, Eduard; Hofmanová, Martina 3 2020 Stability in exponential time of Minkowski space-time with a translation space-like Killing field. Zbl 1402.35040Huneau, Cécile 2 2016 Sharp decay estimates for the logarithmic fast diffusion equation and the Ricci flow on surfaces. Zbl 1397.35034Topping, Peter M.; Yin, Hao 2 2017 Maximal \(L^q\)-regularity for parabolic Hamilton-Jacobi equations and applications to mean field games. Zbl 07500399Cirant, Marco; Goffi, Alessandro 2 2021 Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data. Zbl 07500402Jang, Juhi; Kim, Chanwoo 2 2021 Nonuniqueness of weak solutions for the transport equation at critical space regularity. Zbl 1469.35001Cheskidov, Alexey; Luo, Xiaoyutao 2 2021 Global well-posedness for the massive Maxwell-Klein-Gordon equation with small critical Sobolev data. Zbl 1423.35246Gavrus, Cristian 2 2019 On the motion of a compressible gravity water wave with vorticity. Zbl 1414.35158Luo, Chenyun 2 2018 Sedimentation of random suspensions and the effect of hyperuniformity. Zbl 07500394Duerinckx, Mitia; Gloria, Antoine 1 2022 Variational approach to regularity of optimal transport maps: general cost functions. Zbl 07500397Otto, Felix; Prod’homme, Maxime; Ried, Tobias 1 2021 Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. Zbl 07500407Cuccagna, Scipio; Maeda, Masaya 1 2021 Estimates near the boundary for critical SQG. Zbl 1439.35393Constantin, Peter; Ignatova, Mihaela 1 2020 A type II blowup for the six dimensional energy critical heat equation. Zbl 1469.35056Harada, Junichi 1 2020 On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold. Zbl 1469.35066Zillinger, Christian 1 2021 Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 07531775Castro, Á.; Faraco, D.; Mengual, F. 1 2022 Low regularity solutions for gravity water waves II: the 2D case. Zbl 1462.35275Ai, Albert 1 2020 The linear stability of Reissner-Nordström spacetime for small charge. Zbl 1462.35388Giorgi, Elena 1 2020 Smooth local solutions to degenerate hyperbolic Monge-Ampère equations. Zbl 1423.35254Chen, Tiancong 1 2019 Emergence of apparent horizon in gravitational collapse. Zbl 1448.35506An, Xinliang 1 2020 Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes. Zbl 1448.35503Angelopoulos, Y.; Aretakis, S.; Gajic, D. 1 2020 Sedimentation of random suspensions and the effect of hyperuniformity. Zbl 07500394Duerinckx, Mitia; Gloria, Antoine 1 2022 Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 07531775Castro, Á.; Faraco, D.; Mengual, F. 1 2022 On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430Alazard, Thomas; Nguyen, Quoc-Hung 5 2021 Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field. Zbl 1469.35033Fang, Allen; Wang, Qian; Yang, Shiwu 3 2021 On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473Gancedo, Francisco; Patel, Neel 3 2021 Non-uniqueness for the Euler equations up to Onsager’s critical exponent. Zbl 1478.35171Daneri, Sara; Runa, Eris; Székelyhidi, László 3 2021 A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne 3 2021 Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007Collins, Tristan C.; Yau, Shing-Tung 3 2021 Maximal \(L^q\)-regularity for parabolic Hamilton-Jacobi equations and applications to mean field games. Zbl 07500399Cirant, Marco; Goffi, Alessandro 2 2021 Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data. Zbl 07500402Jang, Juhi; Kim, Chanwoo 2 2021 Nonuniqueness of weak solutions for the transport equation at critical space regularity. Zbl 1469.35001Cheskidov, Alexey; Luo, Xiaoyutao 2 2021 Variational approach to regularity of optimal transport maps: general cost functions. Zbl 07500397Otto, Felix; Prod’homme, Maxime; Ried, Tobias 1 2021 Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. Zbl 07500407Cuccagna, Scipio; Maeda, Masaya 1 2021 On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold. Zbl 1469.35066Zillinger, Christian 1 2021 Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad 7 2020 Rational normal forms and stability of small solutions to nonlinear Schrödinger equations. Zbl 1475.37080Bernier, Joackim; Faou, Erwan; Grébert, Benoît 6 2020 Finite-time singularity formation for strong solutions to the Boussinesq system. Zbl 1462.35287Elgindi, Tarek M.; Jeong, In-Jee 6 2020 Evolution of polygonal lines by the binormal flow. Zbl 1462.35279Banica, Valeria; Vega, Luis 6 2020 Stability of Minkowski space and polyhomogeneity of the metric. Zbl 1462.35389Hintz, Peter; Vasy, András 3 2020 On convergence of approximate solutions to the compressible Euler system. Zbl 1448.35375Feireisl, Eduard; Hofmanová, Martina 3 2020 Estimates near the boundary for critical SQG. Zbl 1439.35393Constantin, Peter; Ignatova, Mihaela 1 2020 A type II blowup for the six dimensional energy critical heat equation. Zbl 1469.35056Harada, Junichi 1 2020 Low regularity solutions for gravity water waves II: the 2D case. Zbl 1462.35275Ai, Albert 1 2020 The linear stability of Reissner-Nordström spacetime for small charge. Zbl 1462.35388Giorgi, Elena 1 2020 Emergence of apparent horizon in gravitational collapse. Zbl 1448.35506An, Xinliang 1 2020 Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes. Zbl 1448.35503Angelopoulos, Y.; Aretakis, S.; Gajic, D. 1 2020 Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300Li, Jing; Xin, Zhouping 34 2019 Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\). Zbl 1428.35585Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor 30 2019 Well-posedness of the Prandtl equations without any structural assumption. Zbl 1428.35355Dietert, Helge; Gérard-Varet, David 20 2019 Linear inviscid damping and vorticity depletion for shear flows. Zbl 1428.35336Wei, Dongyi; Zhang, Zhifei; Zhao, Weiren 17 2019 Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations. Zbl 1428.35321Bedrossian, Jacob; Coti Zelati, Michele; Vicol, Vlad 15 2019 Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations. Zbl 1436.35055Elgindi, Tarek M.; Jeong, In-Jee 13 2019 On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows. Zbl 1439.35370Ibrahim, Slim; Maekawa, Yasunori; Masmoudi, Nader 12 2019 \(L^\infty\) instability of Prandtl layers. Zbl 1436.35037Grenier, Emmanuel; Nguyen, Toan T. 12 2019 Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping 8 2019 Sharp asymptotics of the first exit point density. Zbl 1431.60087Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris 8 2019 Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069Luk, Jonathan 8 2019 The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge. Zbl 1436.35038Johnson, Thomas William 6 2019 Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region. Zbl 1428.35588Luk, Jonathan; Oh, Sung-Jin 6 2019 Loss of regularity for the continuity equation with non-Lipschitz velocity field. Zbl 1422.76078Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L. 6 2019 Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 6 2019 Global well-posedness for the massive Maxwell-Klein-Gordon equation with small critical Sobolev data. Zbl 1423.35246Gavrus, Cristian 2 2019 Smooth local solutions to degenerate hyperbolic Monge-Ampère equations. Zbl 1423.35254Chen, Tiancong 1 2019 On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170He, Ling-Bing; Xu, Li; Yu, Pin 33 2018 Stationary solutions to the Boltzmann equation in the hydrodynamic limit. Zbl 1403.35195Esposito, Raffaele; Guo, Yan; Kim, Chanwoo; Marra, Rossana 32 2018 Non-uniqueness for the transport equation with Sobolev vector fields. Zbl 1411.35066Modena, Stefano; Székelyhidi, László jun. 23 2018 Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes. Zbl 1396.83018Hintz, Peter 22 2018 Non-local functionals related to the total variation and connections with image processing. Zbl 1398.49042Brezis, Haïm; Nguyen, Hoai-Minh 18 2018 The anomaly flow and the Fu-Yau equation. Zbl 1410.81030Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 14 2018 A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes. Zbl 1421.35025Angelopoulos, Y.; Aretakis, S.; Gajic, D. 14 2018 A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre 12 2018 An extension procedure for the constraint equations. Zbl 1403.35287Czimek, Stefan 6 2018 Stability of Minkowski space-time with a translation space-like Killing field. Zbl 1403.35291Huneau, Cécile 6 2018 Scaling and saturation in infinite-dimensional control problems with applications to stochastic partial differential equations. Zbl 1410.35118Glatt-Holtz, Nathan E.; Herzog, David P.; Mattingly, Jonathan C. 6 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 1400.35182Speck, Jared 5 2018 Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms. Zbl 1403.35292Luk, Jonathan; Oh, Sung-Jin; Yang, Shiwu 4 2018 Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation. Zbl 1406.35252Jerrard, Robert L.; Smets, Didier 4 2018 Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing. Zbl 1420.35392Duerinckx, Mitia; Serfaty, Sylvia 4 2018 On the formation of shock for quasilinear wave equations with weak intensity pulse. Zbl 1400.35181Miao, Shuang 3 2018 Solutions to a class of forced drift-diffusion equations with applications to the magneto-geostrophic equations. Zbl 1407.76024Friedlander, Susan; Suen, Anthony 3 2018 On the division problem for the wave maps equation. Zbl 1411.35198Candy, Timothy; Herr, Sebastian 3 2018 On the motion of a compressible gravity water wave with vorticity. Zbl 1414.35158Luo, Chenyun 2 2018 Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate. Zbl 1403.35204Guo, Yan; Nguyen, Toan T. 36 2017 The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system. Zbl 1471.35270Taylor, Martin 27 2017 From hard sphere dynamics to the Stokes-Fourier equations: an \(L^2\) analysis of the Boltzmann-Grad limit. Zbl 1403.35194Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure 15 2017 On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics. Zbl 1397.35050Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben 15 2017 Unique continuation for fractional orders of elliptic equations. Zbl 1397.35048Yu, Hui 15 2017 Landau equation for very soft and Coulomb potentials near maxwellians. Zbl 1404.35043Carrapatoso, K.; Mischler, S. 14 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 1396.83005Costa, João L.; Girão, Pedro M.; Natário, José; Drumond Silva, Jorge 14 2017 On the dynamics of floating structures. Zbl 1403.35239Lannes, David 14 2017 Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel 13 2017 Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation. Zbl 1403.35263Dodson, Benjamin 10 2017 Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation. Zbl 1397.35024Bedrossian, Jacob 9 2017 The characteristic gluing problem and conservation laws for the wave equation on null hypersurfaces. Zbl 1398.58012Aretakis, Stefanos 8 2017 Global regularity for 2D Boussinesq temperature patches with no diffusion. Zbl 1403.35236Gancedo, Francisco; García-Juárez, Eduardo 8 2017 Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 7 2017 Global regularity for the 2+1 dimensional equivariant Einstein-wave map system. Zbl 1403.35290Andersson, Lars; Gudapati, Nishanth; Szeftel, Jérémie 6 2017 Ill-posedness for the incompressible Euler equations in critical Sobolev spaces. Zbl 1403.35218Elgindi, Tarek Mohamed; Jeong, In-Jee 5 2017 A geometric approach for sharp local well-posedness of quasilinear wave equations. Zbl 1397.35158Wang, Qian 5 2017 Stabilization of the water-wave equations with surface tension. Zbl 1403.35226Alazard, Thomas 4 2017 Sharp decay estimates for the logarithmic fast diffusion equation and the Ricci flow on surfaces. Zbl 1397.35034Topping, Peter M.; Yin, Hao 2 2017 Landau damping: paraproducts and Gevrey regularity. Zbl 1402.35058Bedrossian, Jacob; Masmoudi, Nader; Mouhot, Clément 40 2016 The \(r^{p}\)-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications. Zbl 1397.35031Moschidis, Georgios 29 2016 Edge states in honeycomb structures. Zbl 1404.35128Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 24 2016 Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier 24 2016 Critical SQG in bounded domains. Zbl 1397.35202Constantin, Peter; Ignatova, Mihaela 21 2016 Small data solutions of the Vlasov-Poisson system and the vector field method. Zbl 1397.35033Smulevici, Jacques 19 2016 Stable shock formation for nearly simple outgoing plane symmetric waves. Zbl 1402.35173Speck, Jared; Holzegel, Gustav; Luk, Jonathan; Wong, Willie 13 2016 Shock development in spherical symmetry. Zbl 1402.35172Christodoulou, Demetrios; Lisibach, André 12 2016 Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes. Zbl 1402.35046Moschidis, Georgios 12 2016 Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. Zbl 1397.35181Tao, Terence 11 2016 Local well-posedness of the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273Oh, Sung-Jin; Tataru, Daniel 7 2016 Stability in exponential time of Minkowski space-time with a translation space-like Killing field. Zbl 1402.35040Huneau, Cécile 2 2016 Hölder continuous solutions of active scalar equations. Zbl 1395.35061Isett, Philip; Vicol, Vlad 32 2015 Concentration compactness for the critical Maxwell-Klein-Gordon equation. Zbl 1406.35181Krieger, Joachim; Lührmann, Jonas 11 2015 On the global stability of the wave-map equation in Kerr spaces with small angular momentum. Zbl 1396.83006Ionescu, Alexandru D.; Klainerman, Sergiu 9 2015 On a fractional Monge-Ampère operator. Zbl 1393.35268Caffarelli, Luis; Charro, Fernando 9 2015 Geometric analysis of the linear Boltzmann equation. I: Trend to equilibrium. Zbl 1398.35142Han-Kwan, Daniel; Léautaud, Matthieu 7 2015 all cited Publications top 5 cited Publications 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 all top 5 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) Citations by Year