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: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2015). This journal is available open access. Documents Indexed: 160 Publications (since 2015) References Indexed: 160 Publications with 6,893 References. all top 5 Latest Issues 9, No. 2 (2023) 9, No. 1 (2023) 8, No. 2 (2022) 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 5 Luk, Jonathan 4 Jeong, In-Jee 4 Masmoudi, Nader 4 Oh, Sung-Jin 4 Vicol, Vlad C. 3 Aretakis, Stefanos 3 Bedrossian, Jacob 3 Castro, Ángel 3 Colombo, Maria 3 Cordoba, Diego 3 Czimek, Stefan 3 Elgindi, Tarek Mohamed 3 Gancedo, Francisco 3 Guo, Yan 3 Klainerman, Sergiu 3 Nguyen, Toan Trong 3 Szeftel, Jérémie 3 Wang, Qian 3 Yang, Shiwu 2 Alazard, Thomas 2 An, Xinliang 2 Angelopoulos, Yannis 2 Buckmaster, Tristan 2 Chaturvedi, Sanchit 2 Chen, Xuwen 2 Cheskidov, Alexey 2 Constantin, Peter 2 Coti Zelati, Michele 2 Crippa, Gianluca 2 Dietert, Helge 2 Dodson, Benjamin G. 2 Duerinckx, Mitia 2 Fefferman, Charles Louis 2 Gajic, Dejan 2 Gérard-Varet, David 2 Gómez-Serrano, Javier 2 Graf, Olivier 2 Han-Kwan, Daniel 2 Hintz, Peter 2 Holzegel, Gustav 2 Huneau, Cécile 2 Ignatova, Mihaela 2 Jang, Juhi 2 Kim, Chanwoo 2 Krieger, Joachim 2 Lawrie, Andrew G. W. 2 Lührmann, Jonas 2 Luo, Xiaoyutao 2 Moschidis, Georgios 2 Pasqualotto, Federico 2 Rousset, Frédéric 2 Speck, Jared 2 Székelyhidi, László jun. 2 Tataru, Daniel 2 Wei, Dongyi 2 Zhang, Zhifei 1 Ai, Albert 1 Alberti, Giovanni 1 Albritton, Dallas 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 Bruè, Elia 1 Caffarelli, Luis Ángel 1 Cagnetti, Filippo 1 Candy, Timothy 1 Carrapatoso, Kleber 1 Charro, Fernando 1 Chen, Gui-Qiang G. 1 Chen, Jiajie 1 Chen, Tiancong 1 Chiodaroli, Elisabetta 1 Christodoulou, Demetrios 1 Chu, Jianchun 1 Cirant, Marco 1 Collins, Tristan Clifford 1 Collot, Charles 1 Coron, Jean-Michel 1 Costa, João Lopes 1 Cuccagna, Scipio 1 Dafermos, Mihalis 1 Dal Maso, Gianni 1 Daneri, Sara 1 De Lellis, Camillo 1 Di Gesù, Giacomo 1 Dolce, Michele 1 Drivas, Theodore Dimitrios 1 Enciso, Alberto 1 Esposito, Raffaele 1 Fang, Allen 1 Faou, Erwan 1 Faraco, Daniel 1 Feireisl, Eduard 1 Feizmohammadi, Ali 1 Friedlander, Susan Jean ...and 156 more Authors all top 5 Fields 151 Partial differential equations (35-XX) 49 Fluid mechanics (76-XX) 28 Relativity and gravitational theory (83-XX) 15 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Real functions (26-XX) 7 Probability theory and stochastic processes (60-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 147 Publications have been cited 1,992 times in 1,477 Documents Cited by ▼ Year ▼ 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 70 2019 Landau damping: paraproducts and Gevrey regularity. Zbl 1402.35058 Bedrossian, Jacob; Masmoudi, Nader; Mouhot, Clément 68 2016 On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170 He, Ling-Bing; Xu, Li; Yu, Pin 66 2018 Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate. Zbl 1403.35204 Guo, Yan; Nguyen, Toan T. 51 2017 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 51 2019 Stationary solutions to the Boltzmann equation in the hydrodynamic limit. Zbl 1403.35195 Esposito, Raffaele; Guo, Yan; Kim, Chanwoo; Marra, Rossana 49 2018 Well-posedness of the Prandtl equations without any structural assumption. Zbl 1428.35355 Dietert, Helge; Gérard-Varet, David 46 2019 Non-uniqueness for the transport equation with Sobolev vector fields. Zbl 1411.35066 Modena, Stefano; Székelyhidi, László jun. 44 2018 Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020 Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier 44 2016 The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system. Zbl 1471.35270 Taylor, Martin 44 2017 Hölder continuous solutions of active scalar equations. Zbl 1395.35061 Isett, Philip; Vicol, Vlad 43 2015 The \(r^{p}\)-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications. Zbl 1397.35031 Moschidis, Georgios 38 2016 Linear inviscid damping and vorticity depletion for shear flows. Zbl 1428.35336 Wei, Dongyi; Zhang, Zhifei; Zhao, Weiren 35 2019 Edge states in honeycomb structures. Zbl 1404.35128 Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. 34 2016 Non-local functionals related to the total variation and connections with image processing. Zbl 1398.49042 Brezis, Haïm; Nguyen, Hoai-Minh 33 2018 Small data solutions of the Vlasov-Poisson system and the vector field method. Zbl 1397.35033 Smulevici, Jacques 31 2016 Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations. Zbl 1428.35321 Bedrossian, Jacob; Coti Zelati, Michele; Vicol, Vlad 31 2019 Landau equation for very soft and Coulomb potentials near maxwellians. Zbl 1404.35043 Carrapatoso, K.; Mischler, S. 30 2017 Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes. Zbl 1396.83018 Hintz, Peter 29 2018 Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations. Zbl 1436.35055 Elgindi, Tarek M.; Jeong, In-Jee 29 2019 \(L^\infty\) instability of Prandtl layers. Zbl 1436.35037 Grenier, Emmanuel; Nguyen, Toan T. 29 2019 Critical SQG in bounded domains. Zbl 1397.35202 Constantin, Peter; Ignatova, Mihaela 28 2016 On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics. Zbl 1397.35050 Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben 28 2017 On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows. Zbl 1439.35370 Ibrahim, Slim; Maekawa, Yasunori; Masmoudi, Nader 28 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 26 2017 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. 25 2018 The anomaly flow and the Fu-Yau equation. Zbl 1410.81030 Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 25 2018 On the dynamics of floating structures. Zbl 1403.35239 Lannes, David 24 2017 Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282 Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad 24 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 23 2019 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 22 2018 Unique continuation for fractional orders of elliptic equations. Zbl 1397.35048 Yu, Hui 21 2017 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 21 2021 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 20 2017 Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes. Zbl 1402.35046 Moschidis, Georgios 18 2016 Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237 Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel 18 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 18 2017 Sharp asymptotics of the first exit point density. Zbl 1431.60087 Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris 18 2019 Loss of regularity for the continuity equation with non-Lipschitz velocity field. Zbl 1422.76078 Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L. 18 2019 Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069 Luk, Jonathan 18 2019 Shock development in spherical symmetry. Zbl 1402.35172 Christodoulou, Demetrios; Lisibach, André 17 2016 Stable shock formation for nearly simple outgoing plane symmetric waves. Zbl 1402.35173 Speck, Jared; Holzegel, Gustav; Luk, Jonathan; Wong, Willie 17 2016 Concentration compactness for the critical Maxwell-Klein-Gordon equation. Zbl 1406.35181 Krieger, Joachim; Lührmann, Jonas 16 2015 Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. Zbl 1397.35181 Tao, Terence 16 2016 The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge. Zbl 1436.35038 Johnson, Thomas William 16 2019 Finite-time singularity formation for strong solutions to the Boussinesq system. Zbl 1462.35287 Elgindi, Tarek M.; Jeong, In-Jee 16 2020 Nonuniqueness of weak solutions for the transport equation at critical space regularity. Zbl 1469.35001 Cheskidov, Alexey; Luo, Xiaoyutao 16 2021 Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082 De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca 15 2017 On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473 Gancedo, Francisco; Patel, Neel 15 2021 On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430 Alazard, Thomas; Nguyen, Quoc-Hung 15 2021 Evolution of polygonal lines by the binormal flow. Zbl 1462.35279 Banica, Valeria; Vega, Luis 14 2020 Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007 Collins, Tristan C.; Yau, Shing-Tung 14 2021 Geometric analysis of the linear Boltzmann equation. I: Trend to equilibrium. Zbl 1398.35142 Han-Kwan, Daniel; Léautaud, Matthieu 13 2015 On a fractional Monge-Ampère operator. Zbl 1393.35268 Caffarelli, Luis; Charro, Fernando 13 2015 Global regularity for 2D Boussinesq temperature patches with no diffusion. Zbl 1403.35236 Gancedo, Francisco; García-Juárez, Eduardo 13 2017 Local well-posedness of the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273 Oh, Sung-Jin; Tataru, Daniel 12 2016 Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation. Zbl 1403.35263 Dodson, Benjamin 12 2017 Ill-posedness for the incompressible Euler equations in critical Sobolev spaces. Zbl 1403.35218 Elgindi, Tarek Mohamed; Jeong, In-Jee 12 2017 Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275 Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 12 2019 Rational normal forms and stability of small solutions to nonlinear Schrödinger equations. Zbl 1475.37080 Bernier, Joackim; Faou, Erwan; Grébert, Benoît 12 2020 An extension procedure for the constraint equations. Zbl 1403.35287 Czimek, Stefan 11 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 11 2018 Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates. Zbl 1492.35341 Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric 11 2021 The characteristic gluing problem and conservation laws for the wave equation on null hypersurfaces. Zbl 1398.58012 Aretakis, Stefanos 10 2017 A geometric approach for sharp local well-posedness of quasilinear wave equations. Zbl 1397.35158 Wang, Qian 10 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 10 2019 Maximal \(L^q\)-regularity for parabolic Hamilton-Jacobi equations and applications to mean field games. Zbl 1486.35134 Cirant, Marco; Goffi, Alessandro 10 2021 Non-uniqueness for the Euler equations up to Onsager’s critical exponent. Zbl 1478.35171 Daneri, Sara; Runa, Eris; Székelyhidi, László 10 2021 On the global stability of the wave-map equation in Kerr spaces with small angular momentum. Zbl 1396.83006 Ionescu, Alexandru D.; Klainerman, Sergiu 9 2015 Stability of Minkowski space and polyhomogeneity of the metric. Zbl 1462.35389 Hintz, Peter; Vasy, András 9 2020 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. 8 2018 Stabilization of the water-wave equations with surface tension. Zbl 1403.35226 Alazard, Thomas 8 2017 Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation. Zbl 1406.35252 Jerrard, Robert L.; Smets, Didier 8 2018 On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold. Zbl 1469.35066 Zillinger, Christian 8 2021 Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field. Zbl 1469.35033 Fang, Allen; Wang, Qian; Yang, Shiwu 8 2021 Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing. Zbl 1420.35392 Duerinckx, Mitia; Serfaty, Sylvia 7 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 7 2018 Stability of Minkowski space-time with a translation space-like Killing field. Zbl 1403.35291 Huneau, Cécile 7 2018 A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton. Zbl 1504.35472 Dodson, Benjamin 7 2023 Sedimentation of random suspensions and the effect of hyperuniformity. Zbl 1507.35173 Duerinckx, Mitia; Gloria, Antoine 7 2022 Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. Zbl 1490.35405 Cuccagna, Scipio; Maeda, Masaya 7 2021 Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid. Zbl 1483.35157 Antonelli, Paolo; Dolce, Michele; Marcati, Pierangelo 7 2021 Construction of GCM spheres in perturbations of Kerr. Zbl 1501.35394 Klainerman, Sergiu; Szeftel, Jérémie 7 2022 On convergence of approximate solutions to the compressible Euler system. Zbl 1448.35375 Feireisl, Eduard; Hofmanová, Martina 7 2020 On the division problem for the wave maps equation. Zbl 1411.35198 Candy, Timothy; Herr, Sebastian 6 2018 On the motion of a compressible gravity water wave with vorticity. Zbl 1414.35158 Luo, Chenyun 6 2018 Global regularity for the 2+1 dimensional equivariant Einstein-wave map system. Zbl 1403.35290 Andersson, Lars; Gudapati, Nishanth; Szeftel, Jérémie 6 2017 On the formation of shock for quasilinear wave equations with weak intensity pulse. Zbl 1400.35181 Miao, Shuang 6 2018 Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data. Zbl 1490.35274 Jang, Juhi; Kim, Chanwoo 6 2021 Stability of vacuum for the Boltzmann equation with moderately soft potentials. Zbl 1487.35273 Chaturvedi, Sanchit 6 2021 A type II blowup for the six dimensional energy critical heat equation. Zbl 1469.35056 Harada, Junichi 6 2020 Sharp decay estimates for the logarithmic fast diffusion equation and the Ricci flow on surfaces. Zbl 1397.35034 Topping, Peter M.; Yin, Hao 5 2017 Estimates near the boundary for critical SQG. Zbl 1439.35393 Constantin, Peter; Ignatova, Mihaela 5 2020 Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations. Zbl 1504.35247 Chen, Jiajie; Hou, Thomas Y.; Huang, De 5 2022 Low regularity solutions for gravity water waves II: the 2D case. Zbl 1462.35275 Ai, Albert 5 2020 The linear stability of Reissner-Nordström spacetime for small charge. Zbl 1462.35388 Giorgi, Elena 5 2020 The case against smooth null infinity. III: Early-time asymptotics for higher \(\ell\)-modes of linear waves on a Schwarzschild background. Zbl 1495.35033 Kehrberger, Leonhard M. A. 5 2022 On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: Illposedness near degenerate stationary solutions. Zbl 1504.35330 Jeong, In-Jee; Oh, Sung-Jin 5 2022 From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm’s law: convergence for classical solutions. Zbl 1507.35288 Jiang, Ning; Luo, Yi-Long 5 2022 Decay of the Weyl curvature in expanding black hole cosmologies. Zbl 07531777 Schlue, Volker 5 2022 A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton. Zbl 1504.35472 Dodson, Benjamin 7 2023 An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds. Zbl 1528.35232 Feizmohammadi, Ali; Liimatainen, Tony; Lin, Yi-Hsuan 3 2023 Naked singularities in the Einstein-Euler system. Zbl 1523.35013 Guo, Yan; Hadzic, Mahir; Jang, Juhi 2 2023 Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation. Zbl 1518.35149 Kim, Kihyun; Kwon, Soonsik 2 2023 Construction of GCM hypersurfaces in perturbations of Kerr. Zbl 1524.35642 Shen, Dawei 2 2023 \(L^2\)-critical nonuniqueness for the 2D Navier-Stokes equations. Zbl 07742976 Cheskidov, Alexey; Luo, Xiaoyutao 2 2023 The inviscid limit of viscous Burgers at nondegenerate shock formation. Zbl 1504.35032 Chaturvedi, Sanchit; Graham, Cole 1 2023 Gluing non-unique Navier-Stokes solutions. Zbl 07778262 Albritton, Dallas; Brué, Elia; Colombo, Maria 1 2023 Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence. Zbl 07778266 Colombo, Maria; Crippa, Gianluca; Sorella, Massimo 1 2023 Instability of the Kerr Cauchy horizon under linearised gravitational perturbations. Zbl 1522.35503 Sbierski, Jan 1 2023 Construction of a right inverse for the divergence in non-cylindrical time dependent domains. Zbl 1516.35341 Saari, Olli; Schwarzacher, Sebastian 1 2023 Dispersion for the wave equation inside strictly convex domains. II: The general case. Zbl 1523.35216 Ivanovici, Oana; Lascar, Richard; Lebeau, Gilles; Planchon, Fabrice 1 2023 Quantitative control of solutions to the axisymmetric Navier-Stokes equations in terms of the weak \(L^3\) norm. Zbl 07742978 Ożański, W. S.; Palasek, S. 1 2023 Sedimentation of random suspensions and the effect of hyperuniformity. Zbl 1507.35173 Duerinckx, Mitia; Gloria, Antoine 7 2022 Construction of GCM spheres in perturbations of Kerr. Zbl 1501.35394 Klainerman, Sergiu; Szeftel, Jérémie 7 2022 Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations. Zbl 1504.35247 Chen, Jiajie; Hou, Thomas Y.; Huang, De 5 2022 The case against smooth null infinity. III: Early-time asymptotics for higher \(\ell\)-modes of linear waves on a Schwarzschild background. Zbl 1495.35033 Kehrberger, Leonhard M. A. 5 2022 On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: Illposedness near degenerate stationary solutions. Zbl 1504.35330 Jeong, In-Jee; Oh, Sung-Jin 5 2022 From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm’s law: convergence for classical solutions. Zbl 1507.35288 Jiang, Ning; Luo, Yi-Long 5 2022 Decay of the Weyl curvature in expanding black hole cosmologies. Zbl 07531777 Schlue, Volker 5 2022 Simultaneous development of shocks and cusps for 2D Euler with azimuthal symmetry from smooth data. Zbl 1504.35192 Buckmaster, Tristan; Drivas, Theodore D.; Shkoller, Steve; Vicol, Vlad 4 2022 Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr. Zbl 1501.35395 Klainerman, Sergiu; Szeftel, Jérémie 4 2022 Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 1492.35218 Castro, Á.; Faraco, D.; Mengual, F. 4 2022 Global solutions to multi-dimensional topological Euler alignment systems. Zbl 1485.92181 Lear, Daniel; Reynolds, David N.; Shvydkoy, Roman 3 2022 Spectral analysis for singularity formation of the two dimensional Keller-Segel system. Zbl 1490.35235 Collot, Charles; Ghoul, Tej-Eddine; Masmoudi, Nader; Nguyen, Van Tien 3 2022 \(\textrm{SO}(2)\) symmetry of the translating solitons of the mean curvature flow in \(\mathbb{R}^4\). Zbl 1510.53110 Zhu, Jingze 3 2022 The canonical foliation on null hypersurfaces in low regularity. Zbl 1504.35549 Czimek, Stefan; Graf, Olivier 2 2022 Price’s law for spin fields on a Schwarzschild background. Zbl 1504.35546 Ma, Siyuan; Zhang, Lin 2 2022 A scale-critical trapped surface formation criterion: a new proof via signature for decay rates. Zbl 1490.35490 An, Xinliang 2 2022 The spacelike-characteristic Cauchy problem of general relativity in low regularity. Zbl 1504.35544 Czimek, Stefan; Graf, Olivier 1 2022 Quantitative derivation and scattering of the 3D cubic NLS in the energy space. Zbl 1495.35136 Chen, Xuwen; Holmer, Justin 1 2022 Global regular null hypersurfaces in a perturbed Schwarzschild black hole exterior. Zbl 1504.35550 Le, Pengyu 1 2022 The unconditional uniqueness for the energy-supercritical NLS. Zbl 1492.35301 Chen, Xuwen; Shen, Shunlin; Zhang, Zhifei 1 2022 The flow of polynomial roots under differentiation. Zbl 1495.35177 Kiselev, Alexander; Tan, Changhui 1 2022 Global stability for nonlinear wave equations with multi-localized initial data. Zbl 1503.35031 Anderson, John; Pasqualotto, Federico 1 2022 A global method for deterministic and stochastic homogenisation in BV. Zbl 1490.49011 Cagnetti, Filippo; Dal Maso, Gianni; Scardia, Lucia; Zeppieri, Caterina Ida 1 2022 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 21 2021 Nonuniqueness of weak solutions for the transport equation at critical space regularity. Zbl 1469.35001 Cheskidov, Alexey; Luo, Xiaoyutao 16 2021 On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473 Gancedo, Francisco; Patel, Neel 15 2021 On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430 Alazard, Thomas; Nguyen, Quoc-Hung 15 2021 Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007 Collins, Tristan C.; Yau, Shing-Tung 14 2021 Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates. Zbl 1492.35341 Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric 11 2021 Maximal \(L^q\)-regularity for parabolic Hamilton-Jacobi equations and applications to mean field games. Zbl 1486.35134 Cirant, Marco; Goffi, Alessandro 10 2021 Non-uniqueness for the Euler equations up to Onsager’s critical exponent. Zbl 1478.35171 Daneri, Sara; Runa, Eris; Székelyhidi, László 10 2021 On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold. Zbl 1469.35066 Zillinger, Christian 8 2021 Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field. Zbl 1469.35033 Fang, Allen; Wang, Qian; Yang, Shiwu 8 2021 Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. Zbl 1490.35405 Cuccagna, Scipio; Maeda, Masaya 7 2021 Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid. Zbl 1483.35157 Antonelli, Paolo; Dolce, Michele; Marcati, Pierangelo 7 2021 Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data. Zbl 1490.35274 Jang, Juhi; Kim, Chanwoo 6 2021 Stability of vacuum for the Boltzmann equation with moderately soft potentials. Zbl 1487.35273 Chaturvedi, Sanchit 6 2021 Stability of solitary waves for the modified Camassa-Holm equation. Zbl 1483.35164 Li, Ji; Liu, Yue 4 2021 Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\). Zbl 1493.35089 Bringmann, Bjoern; Killip, Rowan; Visan, Monica 3 2021 Outgoing solutions via Gevrey-2 properties. Zbl 1478.34093 Galkowski, Jeffrey; Zworski, Maciej 3 2021 Self-intersecting interfaces for stationary solutions of the two-fluid Euler equations. Zbl 1473.35420 Córdoba, Diego; Enciso, Alberto; Grubic, Nastasia 3 2021 Euler equations on general planar domains. Zbl 1490.35270 Han, Zonglin; Zlatoš, Andrej 2 2021 Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle. Zbl 1490.35271 Huang, Feimin; Kuang, Jie; Wang, Dehua; Xiang, Wei 2 2021 Solvability of a class of singular fourth order equations of Monge-Ampère type. Zbl 1486.35176 Le, Nam Q.; Zhou, Bin 2 2021 Asymptotic decay for defocusing semilinear wave equations in \(\mathbb{R}^{1+1} \). Zbl 1469.35044 Wei, Dongyi; Yang, Shiwu 2 2021 Variational approach to regularity of optimal transport maps: general cost functions. Zbl 1496.49025 Otto, Felix; Prod’homme, Maxime; Ried, Tobias 1 2021 Estimate on the dimension of the singular set of the supercritical surface quasigeostrophic equation. Zbl 1473.35578 Colombo, Maria; Haffter, Silja 1 2021 Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282 Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad 24 2020 Finite-time singularity formation for strong solutions to the Boussinesq system. Zbl 1462.35287 Elgindi, Tarek M.; Jeong, In-Jee 16 2020 Evolution of polygonal lines by the binormal flow. Zbl 1462.35279 Banica, Valeria; Vega, Luis 14 2020 Rational normal forms and stability of small solutions to nonlinear Schrödinger equations. Zbl 1475.37080 Bernier, Joackim; Faou, Erwan; Grébert, Benoît 12 2020 Stability of Minkowski space and polyhomogeneity of the metric. Zbl 1462.35389 Hintz, Peter; Vasy, András 9 2020 On convergence of approximate solutions to the compressible Euler system. Zbl 1448.35375 Feireisl, Eduard; Hofmanová, Martina 7 2020 A type II blowup for the six dimensional energy critical heat equation. Zbl 1469.35056 Harada, Junichi 6 2020 Estimates near the boundary for critical SQG. Zbl 1439.35393 Constantin, Peter; Ignatova, Mihaela 5 2020 Low regularity solutions for gravity water waves II: the 2D case. Zbl 1462.35275 Ai, Albert 5 2020 The linear stability of Reissner-Nordström spacetime for small charge. Zbl 1462.35388 Giorgi, Elena 5 2020 Emergence of apparent horizon in gravitational collapse. Zbl 1448.35506 An, Xinliang 4 2020 Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes. Zbl 1448.35503 Angelopoulos, Y.; Aretakis, S.; Gajic, D. 2 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 70 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 51 2019 Well-posedness of the Prandtl equations without any structural assumption. Zbl 1428.35355 Dietert, Helge; Gérard-Varet, David 46 2019 Linear inviscid damping and vorticity depletion for shear flows. Zbl 1428.35336 Wei, Dongyi; Zhang, Zhifei; Zhao, Weiren 35 2019 Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations. Zbl 1428.35321 Bedrossian, Jacob; Coti Zelati, Michele; Vicol, Vlad 31 2019 Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations. Zbl 1436.35055 Elgindi, Tarek M.; Jeong, In-Jee 29 2019 \(L^\infty\) instability of Prandtl layers. Zbl 1436.35037 Grenier, Emmanuel; Nguyen, Toan T. 29 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 28 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 23 2019 Sharp asymptotics of the first exit point density. Zbl 1431.60087 Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris 18 2019 Loss of regularity for the continuity equation with non-Lipschitz velocity field. Zbl 1422.76078 Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L. 18 2019 Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069 Luk, Jonathan 18 2019 The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge. Zbl 1436.35038 Johnson, Thomas William 16 2019 Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275 Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier 12 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 10 2019 Smooth local solutions to degenerate hyperbolic Monge-Ampère equations. Zbl 1423.35254 Chen, Tiancong 3 2019 Global well-posedness for the massive Maxwell-Klein-Gordon equation with small critical Sobolev data. Zbl 1423.35246 Gavrus, Cristian 3 2019 Nonlinear stability for the Maxwell-Born-Infeld system on a Schwarzschild background. Zbl 1436.35296 Pasqualotto, Federico 3 2019 Conditional stable soliton resolution for a semi-linear Skyrme equation. Zbl 1473.35359 Lawrie, Andrew; Rodriguez, Casey 1 2019 On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170 He, Ling-Bing; Xu, Li; Yu, Pin 66 2018 Stationary solutions to the Boltzmann equation in the hydrodynamic limit. Zbl 1403.35195 Esposito, Raffaele; Guo, Yan; Kim, Chanwoo; Marra, Rossana 49 2018 Non-uniqueness for the transport equation with Sobolev vector fields. Zbl 1411.35066 Modena, Stefano; Székelyhidi, László jun. 44 2018 Non-local functionals related to the total variation and connections with image processing. Zbl 1398.49042 Brezis, Haïm; Nguyen, Hoai-Minh 33 2018 Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes. Zbl 1396.83018 Hintz, Peter 29 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. 25 2018 The anomaly flow and the Fu-Yau equation. Zbl 1410.81030 Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 25 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 22 2018 An extension procedure for the constraint equations. Zbl 1403.35287 Czimek, Stefan 11 2018 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,545 Authors 26 Zhang, Zhifei 19 Bedrossian, Jacob 19 Jeong, In-Jee 19 Wu, Jiahong 17 Masmoudi, Nader 15 Gajic, Dejan 14 Tataru, Daniel 14 Zhang, Ping 13 Elgindi, Tarek Mohamed 13 Oh, Sung-Jin 13 Wei, Dongyi 13 Zhong, Xin 12 Aretakis, Stefanos 12 De Lellis, Camillo 12 Duan, Renjun 12 Hmidi, Taoufik 12 Vicol, Vlad C. 12 Zillinger, Christian 11 Coti Zelati, Michele 11 Speck, Jared 11 Yang, Tong 10 Angelopoulos, Yannis 10 Chae, Dongho 10 Colombo, Maria 10 Cordoba, Diego 10 Drouot, Alexis 10 Guo, Yan 10 Hintz, Peter 10 Iyer, Sameer 10 Kim, Chanwoo 10 Luk, Jonathan 10 Paicu, Marius 10 Picard, Sebastien 10 Székelyhidi, László jun. 9 Alazard, Thomas 9 Castro, Ángel 9 Gancedo, Francisco 9 Gómez-Serrano, Javier 9 Lindblad, Hans 9 Nguyen, Hoai-Minh 9 Nguyen, Toan Trong 9 Shlapentokh-Rothman, Yakov 9 Zhao, Weiren 8 Ding, Shijin 8 Fajman, David 8 Li, Weixi 8 Ma, Siyuan 8 Rodnianski, Igor 8 Squassina, Marco 8 Tao, Tao 8 Weinstein, Michael I. 8 Zhu, Ning 7 Bruè, Elia 7 Choi, Kyudong 7 Chu, Jianchun 7 Crippa, Gianluca 7 Czimek, Stefan 7 Gallagher, Isabelle 7 Garcia, Claudia I. 7 Ibrahim, Slim 7 Lin, Hongxia 7 Luo, Xiaoyutao 7 Rüland, Angkana 7 Saint-Raymond, Laure 7 Xin, Zhouping 6 Alonso-Orán, Diego 6 An, Xinliang 6 Bodineau, Thierry 6 Buckmaster, Tristan 6 Constantin, Peter 6 Costa, João Lopes 6 De Rosa, Luigi 6 Duerinckx, Mitia 6 Faraco, Daniel 6 Feireisl, Eduard 6 Gérard-Varet, David 6 Germain, Pierre 6 Giorgi, Elena Edi 6 Han-Kwan, Daniel 6 Ignatova, Mihaela 6 Li, Jinkai 6 Lin, Zhiwu 6 Maekawa, Yasunori 6 Mateu, Joan 6 Novack, Matthew D. 6 Phong, Duong Hong 6 Rousset, Frédéric 6 Simonella, Sergio 6 Smulevici, Jacques 6 Vega, Luis 6 Wang, Yong 6 Xie, Feng 6 Zhang, Liqun 6 Zhang, Xiangwen 6 Zhang, Zhu 5 Agrawal, Siddhant 5 Bal, Guillaume 5 Bernier, Joackim 5 Bigorgne, Léo 5 Cao, Daomin ...and 1,445 more Authors all top 5 Cited in 196 Journals 92 Archive for Rational Mechanics and Analysis 91 Communications in Mathematical Physics 91 SIAM Journal on Mathematical Analysis 69 Journal of Differential Equations 63 Annals of PDE 50 Advances in Mathematics 39 Journal of Functional Analysis 38 Annales Henri Poincaré 37 Nonlinearity 32 Calculus of Variations and Partial Differential Equations 32 Journal of Mathematical Fluid Mechanics 29 Classical and Quantum Gravity 29 Analysis & PDE 27 Journal de Mathématiques Pures et Appliquées. Neuvième Série 26 Journal of Mathematical Physics 21 Journal of Statistical Physics 21 Journal of Nonlinear Science 20 Discrete and Continuous Dynamical Systems 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Communications in Partial Differential Equations 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Kinetic and Related Models 16 Science China. Mathematics 15 Communications on Pure and Applied Mathematics 15 Mathematische Annalen 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Journal of Hyperbolic Differential Equations 12 Oberwolfach Reports 12 Séminaire Laurent Schwartz. EDP et Applications 11 Inventiones Mathematicae 11 Transactions of the American Mathematical Society 11 Journal of High Energy Physics 11 Journal of Evolution Equations 10 Quarterly of Applied Mathematics 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Discrete and Continuous Dynamical Systems. Series B 9 Journal of Mathematical Analysis and Applications 9 The Journal of Geometric Analysis 9 Communications on Pure and Applied Analysis 9 Pure and Applied Analysis 8 Duke Mathematical Journal 8 Memoirs of the American Mathematical Society 8 Bulletin of the American Mathematical Society. New Series 8 Nonlinear Analysis. Real World Applications 8 Acta Mathematica Scientia. Series B. (English Edition) 7 American Journal of Mathematics 7 Acta Applicandae Mathematicae 7 NoDEA. Nonlinear Differential Equations and Applications 7 Annals of Mathematics. Second Series 7 Journal of the European Mathematical Society (JEMS) 6 General Relativity and Gravitation 6 Physica D 6 Asymptotic Analysis 5 Journal of Differential Geometry 5 Journal of the London Mathematical Society. Second Series 5 Proceedings of the American Mathematical Society 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Forum of Mathematics, Sigma 5 Peking Mathematical Journal 5 Probability and Mathematical Physics 5 Communications in Mathematical Analysis and Applications 4 Annales de l’Institut Fourier 4 Applied Mathematics and Optimization 4 Indiana University Mathematics Journal 4 Journal für die Reine und Angewandte Mathematik 4 Studies in Applied Mathematics 4 Probability Theory and Related Fields 4 Applied Mathematics Letters 4 Stochastic Processes and their Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal de l’École Polytechnique – Mathématiques 4 Journal of Elliptic and Parabolic Equations 4 Tunisian Journal of Mathematics 4 Water Waves 3 Letters in Mathematical Physics 3 Physics Letters. A 3 Mathematische Nachrichten 3 SIAM Journal on Numerical Analysis 3 Chinese Annals of Mathematics. Series B 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 The Annals of Applied Probability 3 Geometric and Functional Analysis. GAFA 3 Geometry & Topology 3 Communications in Contemporary Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Complex Variables and Elliptic Equations 3 Mathematical Control and Related Fields 3 S\(\vec{\text{e}}\)MA Journal 3 Forum of Mathematics, Pi 3 Advances in Nonlinear Analysis 3 Mathematics in Engineering 2 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 Physics Letters. B 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation ...and 96 more Journals all top 5 Cited in 49 Fields 1,268 Partial differential equations (35-XX) 673 Fluid mechanics (76-XX) 203 Relativity and gravitational theory (83-XX) 140 Statistical mechanics, structure of matter (82-XX) 136 Differential geometry (53-XX) 81 Quantum theory (81-XX) 65 Global analysis, analysis on manifolds (58-XX) 60 Dynamical systems and ergodic theory (37-XX) 57 Real functions (26-XX) 53 Probability theory and stochastic processes (60-XX) 51 Geophysics (86-XX) 49 Operator theory (47-XX) 45 Several complex variables and analytic spaces (32-XX) 38 Optics, electromagnetic theory (78-XX) 35 Functional analysis (46-XX) 33 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 25 Mechanics of deformable solids (74-XX) 25 Systems theory; control (93-XX) 20 Ordinary differential equations (34-XX) 18 Mechanics of particles and systems (70-XX) 16 Measure and integration (28-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 General and overarching topics; collections (00-XX) 13 Algebraic geometry (14-XX) 13 Biology and other natural sciences (92-XX) 11 Astronomy and astrophysics (85-XX) 10 Integral equations (45-XX) 6 Topological groups, Lie groups (22-XX) 6 Functions of a complex variable (30-XX) 6 Manifolds and cell complexes (57-XX) 5 Special functions (33-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Convex and discrete geometry (52-XX) 3 Information and communication theory, circuits (94-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) Citations by Year