Edit Profile (opens in new tab) Vicol, Vlad C. Co-Author Distance Author ID: vicol.vlad-c Published as: Vicol, Vlad; Vicol, Vlad C.; Vicol, V. more...less Homepage: https://cims.nyu.edu/~vicol/ External Links: MGP · ORCID · Wikidata · dblp · GND Awards: Clay Research Award (2019) Documents Indexed: 83 Publications since 2008, including 2 Books and 5 Additional arXiv Preprints Co-Authors: 51 Co-Authors with 83 Joint Publications 1,128 Co-Co-Authors all top 5 Co-Authors 0 single-authored 23 Kukavica, Igor 15 Constantin, Peter 14 Buckmaster, Tristan 9 Friedlander, Susan Jean 8 Shkoller, Steve 7 Wang, Fei 6 Glatt-Holtz, Nathan E. 5 Masmoudi, Nader 4 Bedrossian, Jacob 4 Novack, Matthew D. 4 Silvestre, Luis E. 3 Coti Zelati, Michele 3 Elgindi, Tarek Mohamed 3 Ignatova, Mihaela 3 Ziane, Mohammed 2 Beekie, Rajendra 2 Çamliyurt, Güher 2 Dabkowski, Michael G. 2 Gancedo, Francisco 2 Kiselev, Alexander A. 2 Neal, Isaac 2 Pavlović, Nataša 2 Shvydkoy, Roman V. 2 Tarfulea, Andrei 2 Temam, Roger Meyer 2 Tuffaha, Amjad M. 1 Armstrong, Scott N. 1 Cheskidov, Alexey 1 Colombo, Maria 1 De Lellis, Camillo 1 Drivas, Theodore Dimitrios 1 Gérard-Varet, David 1 Isett, Philip 1 Iyer, Sameer 1 La, Joonhyun 1 Laubner, Bastian 1 Lopes Filho, Milton da Costa 1 Nguyen, Huy Quang 1 Nguyen, Trinh T. 1 Nussenzveig Lopes, Helena Judith 1 Paicu, Marius 1 Rickard, Calum 1 Rusin, W. 1 Rusin, Walter M. 1 Schleicher, Dierk 1 Sun, Weiran 1 Šverák, Vladimír 1 Székelyhidi, László jun. 1 Wong, Tak Kwong 1 Wu, Jiahong 1 Zlatoš, Andrej all top 5 Serials 7 Archive for Rational Mechanics and Analysis 6 Communications on Pure and Applied Mathematics 5 Communications in Mathematical Physics 5 Nonlinearity 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Annals of PDE 3 Journal of Differential Equations 3 Journal of Nonlinear Science 3 Journal of Mathematical Fluid Mechanics 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 Applied Mathematics and Optimization 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 2 Analysis & PDE 1 The Annals of Probability 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Asymptotic Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Sciences 1 Annals of Mathematics Studies 1 Graduate Studies in Mathematics 1 EMS Surveys in Mathematical Sciences 1 Pure and Applied Functional Analysis all top 5 Fields 77 Partial differential equations (35-XX) 59 Fluid mechanics (76-XX) 7 Geophysics (86-XX) 4 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 2,118 times in 1,146 Documents Cited by ▼ Year ▼ Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078 Constantin, Peter; Vicol, Vlad 177 2012 Nonuniqueness of weak solutions to the Navier-Stokes equation. Zbl 1412.35215 Buckmaster, Tristan; Vicol, Vlad 139 2019 Onsager’s conjecture for admissible weak solutions. Zbl 1480.35317 Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.; Vicol, Vlad 131 2019 Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow. Zbl 1339.35208 Bedrossian, Jacob; Masmoudi, Nader; Vicol, Vlad 69 2016 Long time dynamics of forced critical SQG. Zbl 1316.35238 Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 66 2015 Nonuniqueness of weak solutions to the SQG equation. Zbl 1427.35200 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 63 2019 On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224 Kukavica, Igor; Vicol, Vlad 63 2013 Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise. Zbl 1304.35545 Glatt-Holtz, Nathan E.; Vicol, Vlad C. 62 2014 On the local well-posedness of the Prandtl and hydrostatic Euler equations with multiple monotonicity regions. Zbl 1317.35202 Kukavica, Igor; Masmoudi, Nader; Vicol, Vlad; Wong, Tak Kwong 60 2014 Almost global existence for the Prandtl boundary layer equations. Zbl 1334.35238 Ignatova, Mihaela; Vicol, Vlad 57 2016 Convex integration and phenomenologies in turbulence. Zbl 1440.35231 Buckmaster, Tristan; Vicol, Vlad 51 2019 The Sobolev stability threshold for 2D shear flows near Couette. Zbl 1403.35228 Bedrossian, Jacob; Vicol, Vlad; Wang, Fei 51 2018 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304 Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 48 2017 Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics. Zbl 1277.35291 Friedlander, Susan; Vicol, Vlad 46 2011 On the radius of analyticity of solutions to the three-dimensional Euler equations. Zbl 1156.76010 Kukavica, Igor; Vicol, Vlad 46 2009 Hölder continuous solutions of active scalar equations. Zbl 1395.35061 Isett, Philip; Vicol, Vlad 43 2015 Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain. Zbl 1204.35129 Kukavica, Igor; Temam, Roger; Vicol, Vlad C.; Ziane, Mohammed 38 2011 On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073 Constantin, Peter; Kukavica, Igor; Vicol, Vlad 38 2015 Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078 Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad 37 2014 Existence and regularity of invariant measures for the three dimensional stochastic primitive equations. Zbl 1338.37065 Glatt-Holtz, Nathan; Kukavica, Igor; Vicol, Vlad; Ziane, Mohammed 36 2014 On the global regularity for the supercritical SQG equation. Zbl 1360.35204 Zelati, Michele Coti; Vicol, Vlad 35 2016 On the loss of continuity for super-critical drift-diffusion equations. Zbl 1264.35077 Silvestre, Luis; Vicol, Vlad; Zlatoš, Andrej 34 2013 The van Dommelen and Shen singularity in the Prandtl equations. Zbl 1357.35058 Kukavica, Igor; Vicol, Vlad; Wang, Fei 32 2017 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 Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092 Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad 30 2014 Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1. Zbl 1493.35063 Buckmaster, Tristan; Colombo, Maria; Vicol, Vlad 29 2022 On a transport equation with nonlocal drift. Zbl 1334.35254 Silvestre, Luis; Vicol, Vlad 27 2016 On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations. Zbl 1213.35345 Kukavica, Igor; Vicol, Vlad 26 2011 Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135 Constantin, Peter; Vicol, Vlad; Wu, Jiahong 26 2015 Nonlinear instability for the critically dissipative quasi-geostrophic equation. Zbl 1216.35086 Friedlander, Susan; Pavlović, Nataša; Vicol, Vlad 25 2009 The domain of analyticity of solutions to the three-dimensional Euler equations in a half space. Zbl 1308.35192 Kukavica, Igor; Vicol, Vlad C. 24 2011 Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications. Zbl 1427.35189 Constantin, Peter; La, Joonhyun; Vicol, Vlad 24 2019 Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282 Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad 24 2020 Formation of shocks for 2D isentropic compressible Euler. Zbl 1498.35405 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 24 2022 Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. Zbl 1373.35239 Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 23 2017 On the ill/well-posedness and nonlinear instability of the magneto-geostrophic equations. Zbl 1228.76036 Friedlander, Susan; Vicol, Vlad 21 2011 Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057 Constantin, Peter; Vicol, Vlad 21 2018 Convex integration constructions in hydrodynamics. Zbl 1461.35186 Buckmaster, Tristan; Vicol, Vlad 21 2021 On inviscid limits for the stochastic Navier-Stokes equations and related models. Zbl 1316.35227 Glatt-Holtz, Nathan; Šverák, Vladimír; Vicol, Vlad 19 2015 The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. Zbl 1437.35539 Kukavica, Igor; Vicol, Vlad; Wang, Fei 19 2020 Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283 Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad 18 2016 Global well-posedness for a slightly supercritical surface quasi-geostrophic equation. Zbl 1239.35121 Dabkowski, Michael; Kiselev, Alexander; Vicol, Vlad 17 2012 Well-posedness of the hydrostatic Navier-Stokes equations. Zbl 1451.35109 Gérard-Varet, David; Masmoudi, Nader; Vicol, Vlad 17 2020 Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117 Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 17 2014 Hölder continuity for a drift-diffusion equation with pressure. Zbl 1252.35102 Silvestre, Luis; Vicol, Vlad 14 2012 On the local existence and uniqueness for the 3D Euler equation with a free interface. Zbl 1384.35074 Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad 13 2017 Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233 Constantin, Peter; Kukavica, Igor; Vicol, Vlad 12 2016 On the supercritically diffusive magnetogeostrophic equations. Zbl 1252.76022 Friedlander, Susan; Rusin, Walter; Vicol, Vlad 12 2012 The magneto-geostrophic equations: a survey. Zbl 1307.76027 Friedlander, S.; Rusin, W.; Vicol, V. 11 2014 On local uniqueness of weak solutions to the Navier-Stokes system with \(\mathrm{BMO}^{-1}\) initial datum. Zbl 1148.35064 Kukavica, Igor; Vicol, Vlad 11 2008 Analyticity and gevrey-class regularity for the second-grade fluid equations. Zbl 1270.35370 Paicu, Marius; Vicol, Vlad 11 2011 Gevrey regularity for the Navier-Stokes in a half-space. Zbl 1397.35049 Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad 11 2018 On a singular incompressible porous media equation. Zbl 1452.76233 Friedlander, Susan; Gancedo, Francisco; Sun, Weiran; Vicol, Vlad 11 2012 Inviscid limits for a stochastically forced shell model of turbulent flow. Zbl 1348.76081 Friedlander, Susan; Glatt-Holtz, Nathan; Vicol, Vlad 10 2016 Vorticity measures and the inviscid limit. Zbl 1428.35352 Constantin, Peter; Filho, Milton C. Lopes; Lopes, Helena J. Nussenzveig; Vicol, Vlad 8 2019 Higher regularity of Hölder continuous solutions of parabolic equations with singular drift velocities. Zbl 1294.35096 Friedlander, Susan; Vicol, Vlad 7 2012 A combinatorial classification of postsingularly finite complex exponential maps. Zbl 1168.30012 Laubner, Bastian; Schleicher, Dierk; Vicol, Vlad 7 2008 Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data. Zbl 1194.35247 Kukavica, Igor; Temam, Roger; Vicol, Vlad; Ziane, Mohammed 7 2010 On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations. Zbl 1521.76081 Kukavica, Igor; Nguyen, Trinh T.; Vicol, Vlad; Wang, Fei 6 2022 On Moffatt’s magnetic relaxation equations. Zbl 1508.35058 Beekie, Rajendra; Friedlander, Susan; Vicol, Vlad 6 2022 Real analytic local well-posedness for the triple deck. Zbl 1476.35200 Iyer, Sameer; Vicol, Vlad 6 2021 On the ill-posedness of active scalar equations with odd singular kernels. Zbl 1348.35303 Kukavica, Igor; Vicol, Vlad; Wang, Fei 5 2016 Formation of point shocks for 3D compressible Euler. Zbl 1527.35230 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 5 2023 Analyticity up to the boundary for the Stokes and the Navier-Stokes systems. Zbl 1437.35568 Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad 5 2020 On some electroconvection models. Zbl 1442.35440 Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 4 2017 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 An intermittent Onsager theorem. Zbl 07698518 Novack, Matthew; Vicol, Vlad 4 2023 On singularity formation in a Hele-Shaw model. Zbl 1421.76073 Constantin, Peter; Elgindi, Tarek; Nguyen, Huy; Vicol, Vlad 4 2018 Moments for strong solutions of the 2D stochastic Navier-Stokes equations in a bounded domain. Zbl 1323.35231 Kukavica, Igor; Vicol, Vlad 3 2014 Shock formation and vorticity creation for 3d Euler. Zbl 1527.35229 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 3 2023 The mathematical analysis of the incompressible Euler and Navier-Stokes equations. An introduction. Zbl 07606392 Bedrossian, Jacob; Vicol, Vlad 3 2022 Intermittent convex integration for the 3D Euler equations. Zbl 07658420 Buckmaster, Tristan; Masmoudi, Nader; Novack, Matthew; Vicol, Vlad 3 2023 On the existence for the free interface 2D Euler equation with a localized vorticity condition. Zbl 1351.35118 Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad; Wang, Fei 2 2016 A direct approach to Gevrey regularity on the half-space. Zbl 1405.35013 Kukavica, Igor; Vicol, Vlad 2 2018 Exact boundary controllability for the ideal magneto-hydrodynamic equations. Zbl 1509.35227 Kukavica, Igor; Novack, Matthew; Vicol, Vlad 1 2022 Remarks on the inviscid limit problem for the Navier-Stokes equations. Zbl 1483.35153 Kukavica, Igor; Vicol, Vlad; Wang, Fei 1 2022 Susan Friedlander’s contributions in mathematical fluid dynamics. Zbl 1467.76002 Cheskidov, Alexey; Glatt-Holtz, Nathan; Pavlovic, Natasa; Shvydkoy, Roman; Vicol, Vlad 1 2021 Formation of point shocks for 3D compressible Euler. Zbl 1527.35230 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 5 2023 An intermittent Onsager theorem. Zbl 07698518 Novack, Matthew; Vicol, Vlad 4 2023 Shock formation and vorticity creation for 3d Euler. Zbl 1527.35229 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 3 2023 Intermittent convex integration for the 3D Euler equations. Zbl 07658420 Buckmaster, Tristan; Masmoudi, Nader; Novack, Matthew; Vicol, Vlad 3 2023 Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1. Zbl 1493.35063 Buckmaster, Tristan; Colombo, Maria; Vicol, Vlad 29 2022 Formation of shocks for 2D isentropic compressible Euler. Zbl 1498.35405 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 24 2022 On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations. Zbl 1521.76081 Kukavica, Igor; Nguyen, Trinh T.; Vicol, Vlad; Wang, Fei 6 2022 On Moffatt’s magnetic relaxation equations. Zbl 1508.35058 Beekie, Rajendra; Friedlander, Susan; Vicol, Vlad 6 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 The mathematical analysis of the incompressible Euler and Navier-Stokes equations. An introduction. Zbl 07606392 Bedrossian, Jacob; Vicol, Vlad 3 2022 Exact boundary controllability for the ideal magneto-hydrodynamic equations. Zbl 1509.35227 Kukavica, Igor; Novack, Matthew; Vicol, Vlad 1 2022 Remarks on the inviscid limit problem for the Navier-Stokes equations. Zbl 1483.35153 Kukavica, Igor; Vicol, Vlad; Wang, Fei 1 2022 Convex integration constructions in hydrodynamics. Zbl 1461.35186 Buckmaster, Tristan; Vicol, Vlad 21 2021 Real analytic local well-posedness for the triple deck. Zbl 1476.35200 Iyer, Sameer; Vicol, Vlad 6 2021 Susan Friedlander’s contributions in mathematical fluid dynamics. Zbl 1467.76002 Cheskidov, Alexey; Glatt-Holtz, Nathan; Pavlovic, Natasa; Shvydkoy, Roman; Vicol, Vlad 1 2021 Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282 Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad 24 2020 The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. Zbl 1437.35539 Kukavica, Igor; Vicol, Vlad; Wang, Fei 19 2020 Well-posedness of the hydrostatic Navier-Stokes equations. Zbl 1451.35109 Gérard-Varet, David; Masmoudi, Nader; Vicol, Vlad 17 2020 Analyticity up to the boundary for the Stokes and the Navier-Stokes systems. Zbl 1437.35568 Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad 5 2020 Nonuniqueness of weak solutions to the Navier-Stokes equation. Zbl 1412.35215 Buckmaster, Tristan; Vicol, Vlad 139 2019 Onsager’s conjecture for admissible weak solutions. Zbl 1480.35317 Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.; Vicol, Vlad 131 2019 Nonuniqueness of weak solutions to the SQG equation. Zbl 1427.35200 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 63 2019 Convex integration and phenomenologies in turbulence. Zbl 1440.35231 Buckmaster, Tristan; Vicol, Vlad 51 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 Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications. Zbl 1427.35189 Constantin, Peter; La, Joonhyun; Vicol, Vlad 24 2019 Vorticity measures and the inviscid limit. Zbl 1428.35352 Constantin, Peter; Filho, Milton C. Lopes; Lopes, Helena J. Nussenzveig; Vicol, Vlad 8 2019 The Sobolev stability threshold for 2D shear flows near Couette. Zbl 1403.35228 Bedrossian, Jacob; Vicol, Vlad; Wang, Fei 51 2018 Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. Zbl 1384.35057 Constantin, Peter; Vicol, Vlad 21 2018 Gevrey regularity for the Navier-Stokes in a half-space. Zbl 1397.35049 Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad 11 2018 On singularity formation in a Hele-Shaw model. Zbl 1421.76073 Constantin, Peter; Elgindi, Tarek; Nguyen, Huy; Vicol, Vlad 4 2018 A direct approach to Gevrey regularity on the half-space. Zbl 1405.35013 Kukavica, Igor; Vicol, Vlad 2 2018 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304 Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 48 2017 The van Dommelen and Shen singularity in the Prandtl equations. Zbl 1357.35058 Kukavica, Igor; Vicol, Vlad; Wang, Fei 32 2017 Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. Zbl 1373.35239 Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 23 2017 On the local existence and uniqueness for the 3D Euler equation with a free interface. Zbl 1384.35074 Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad 13 2017 On some electroconvection models. Zbl 1442.35440 Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad 4 2017 Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow. Zbl 1339.35208 Bedrossian, Jacob; Masmoudi, Nader; Vicol, Vlad 69 2016 Almost global existence for the Prandtl boundary layer equations. Zbl 1334.35238 Ignatova, Mihaela; Vicol, Vlad 57 2016 On the global regularity for the supercritical SQG equation. Zbl 1360.35204 Zelati, Michele Coti; Vicol, Vlad 35 2016 On a transport equation with nonlocal drift. Zbl 1334.35254 Silvestre, Luis; Vicol, Vlad 27 2016 Uniformly attracting limit sets for the critically dissipative SQG equation. Zbl 1332.35283 Constantin, Peter; Zelati, Michele Coti; Vicol, Vlad 18 2016 Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233 Constantin, Peter; Kukavica, Igor; Vicol, Vlad 12 2016 Inviscid limits for a stochastically forced shell model of turbulent flow. Zbl 1348.76081 Friedlander, Susan; Glatt-Holtz, Nathan; Vicol, Vlad 10 2016 On the ill-posedness of active scalar equations with odd singular kernels. Zbl 1348.35303 Kukavica, Igor; Vicol, Vlad; Wang, Fei 5 2016 On the existence for the free interface 2D Euler equation with a localized vorticity condition. Zbl 1351.35118 Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad; Wang, Fei 2 2016 Long time dynamics of forced critical SQG. Zbl 1316.35238 Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 66 2015 Hölder continuous solutions of active scalar equations. Zbl 1395.35061 Isett, Philip; Vicol, Vlad 43 2015 On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073 Constantin, Peter; Kukavica, Igor; Vicol, Vlad 38 2015 Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models. Zbl 1422.35135 Constantin, Peter; Vicol, Vlad; Wu, Jiahong 26 2015 On inviscid limits for the stochastic Navier-Stokes equations and related models. Zbl 1316.35227 Glatt-Holtz, Nathan; Šverák, Vladimír; Vicol, Vlad 19 2015 Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise. Zbl 1304.35545 Glatt-Holtz, Nathan E.; Vicol, Vlad C. 62 2014 On the local well-posedness of the Prandtl and hydrostatic Euler equations with multiple monotonicity regions. Zbl 1317.35202 Kukavica, Igor; Masmoudi, Nader; Vicol, Vlad; Wong, Tak Kwong 60 2014 Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. Zbl 1294.35078 Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad 37 2014 Existence and regularity of invariant measures for the three dimensional stochastic primitive equations. Zbl 1338.37065 Glatt-Holtz, Nathan; Kukavica, Igor; Vicol, Vlad; Ziane, Mohammed 36 2014 Global well-posedness of slightly supercritical active scalar equations. Zbl 1294.35092 Dabkowski, Michael; Kiselev, Alexander; Silvestre, Luis; Vicol, Vlad 30 2014 Absence of anomalous dissipation of energy in forced two dimensional fluid equations. Zbl 1296.35117 Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad 17 2014 The magneto-geostrophic equations: a survey. Zbl 1307.76027 Friedlander, S.; Rusin, W.; Vicol, V. 11 2014 Moments for strong solutions of the 2D stochastic Navier-Stokes equations in a bounded domain. Zbl 1323.35231 Kukavica, Igor; Vicol, Vlad 3 2014 On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224 Kukavica, Igor; Vicol, Vlad 63 2013 On the loss of continuity for super-critical drift-diffusion equations. Zbl 1264.35077 Silvestre, Luis; Vicol, Vlad; Zlatoš, Andrej 34 2013 Nonlinear maximum principles for dissipative linear nonlocal operators and applications. Zbl 1256.35078 Constantin, Peter; Vicol, Vlad 177 2012 Global well-posedness for a slightly supercritical surface quasi-geostrophic equation. Zbl 1239.35121 Dabkowski, Michael; Kiselev, Alexander; Vicol, Vlad 17 2012 Hölder continuity for a drift-diffusion equation with pressure. Zbl 1252.35102 Silvestre, Luis; Vicol, Vlad 14 2012 On the supercritically diffusive magnetogeostrophic equations. Zbl 1252.76022 Friedlander, Susan; Rusin, Walter; Vicol, Vlad 12 2012 On a singular incompressible porous media equation. Zbl 1452.76233 Friedlander, Susan; Gancedo, Francisco; Sun, Weiran; Vicol, Vlad 11 2012 Higher regularity of Hölder continuous solutions of parabolic equations with singular drift velocities. Zbl 1294.35096 Friedlander, Susan; Vicol, Vlad 7 2012 Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics. Zbl 1277.35291 Friedlander, Susan; Vicol, Vlad 46 2011 Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain. Zbl 1204.35129 Kukavica, Igor; Temam, Roger; Vicol, Vlad C.; Ziane, Mohammed 38 2011 On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations. Zbl 1213.35345 Kukavica, Igor; Vicol, Vlad 26 2011 The domain of analyticity of solutions to the three-dimensional Euler equations in a half space. Zbl 1308.35192 Kukavica, Igor; Vicol, Vlad C. 24 2011 On the ill/well-posedness and nonlinear instability of the magneto-geostrophic equations. Zbl 1228.76036 Friedlander, Susan; Vicol, Vlad 21 2011 Analyticity and gevrey-class regularity for the second-grade fluid equations. Zbl 1270.35370 Paicu, Marius; Vicol, Vlad 11 2011 Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data. Zbl 1194.35247 Kukavica, Igor; Temam, Roger; Vicol, Vlad; Ziane, Mohammed 7 2010 On the radius of analyticity of solutions to the three-dimensional Euler equations. Zbl 1156.76010 Kukavica, Igor; Vicol, Vlad 46 2009 Nonlinear instability for the critically dissipative quasi-geostrophic equation. Zbl 1216.35086 Friedlander, Susan; Pavlović, Nataša; Vicol, Vlad 25 2009 On local uniqueness of weak solutions to the Navier-Stokes system with \(\mathrm{BMO}^{-1}\) initial datum. Zbl 1148.35064 Kukavica, Igor; Vicol, Vlad 11 2008 A combinatorial classification of postsingularly finite complex exponential maps. Zbl 1168.30012 Laubner, Bastian; Schleicher, Dierk; Vicol, Vlad 7 2008 all cited Publications top 5 cited Publications all top 5 Cited by 1,068 Authors 46 Vicol, Vlad C. 32 Kukavica, Igor 26 Titi, Edriss Saleh 25 Masmoudi, Nader 25 Zhang, Zhifei 23 Constantin, Peter 23 Wu, Jiahong 19 Bedrossian, Jacob 17 Elgindi, Tarek Mohamed 16 Friedlander, Susan Jean 15 Coti Zelati, Michele 15 Feireisl, Eduard 14 Ignatova, Mihaela 14 Székelyhidi, László jun. 13 Colombo, Maria 13 De Rosa, Luigi 13 Xu, Xiaojing 13 Zhang, Ping 12 Granero Belinchón, Rafael 12 Hofmanová, Martina 12 Jeong, In-Jee 12 Nguyen, Huy Quang 11 Dai, Mimi 11 Drivas, Theodore Dimitrios 11 Glatt-Holtz, Nathan E. 11 Xue, Liutang 11 Yamazaki, Kazuo 11 Zhao, Weiren 10 Alonso-Orán, Diego 10 Gancedo, Francisco 10 Wei, Dongyi 10 Yang, Tong 10 Zillinger, Christian 9 Alazard, Thomas 9 Buckmaster, Tristan 9 Castro, Ángel 9 Cheskidov, Alexey 9 Shvydkoy, Roman V. 9 Ye, Zhuan 9 Ziane, Mohammed 8 Faraco, Daniel 8 Ibrahim, Slim 8 Iyer, Sameer 8 Larios, Adam 8 Lazar, Omar 8 Liu, Cheng-Jie 8 Matioc, Bogdan-Vasile 8 Novack, Matthew D. 8 Tang, Hao 8 Wiedemann, Emil 7 Albritton, Dallas 7 Breit, Dominic 7 Cordoba, Diego 7 Gérard-Varet, David 7 Gómez-Serrano, Javier 7 Isett, Philip 7 Jiang, Fei 7 Jolly, Michael Summerfield 7 Li, Weixi 7 Lin, Xueyun 7 Martinez, Vincent R. 7 Nguyen, Toan Trong 7 Silvestre, Luis E. 7 Wang, Fei 7 Wang, Yanqing 7 Wang, Yuxi 6 Bardos, Claude Williams 6 Biswas, Animikh 6 Burczak, Jan 6 Dong, Hongjie 6 Flandoli, Franco 6 Gao, Hongjun 6 Jiu, Quansen 6 Li, Shihu 6 Lin, Quyuan 6 Lindberg, Sauli 6 Liu, Wei 6 Luo, Chenyun 6 Luo, Xiaoyutao 6 Maekawa, Yasunori 6 Paicu, Marius 6 Saal, Martin 6 Tao, Tao 6 Temam, Roger Meyer 6 Vasseur, Alexis F. 6 Wang, Dehua 6 Xie, Feng 6 Zhang, Ting 5 Beekie, Rajendra 5 Besse, Nicolas 5 Bradshaw, Zachary 5 Chen, Qi 5 Chiodaroli, Elisabetta 5 De Lellis, Camillo 5 Disconzi, Marcelo Mendes 5 Frisch, Uriel 5 Ghoul, Tej-Eddine 5 Haffter, Silja 5 Jia, Hao 5 Jiang, Song ...and 968 more Authors all top 5 Cited in 185 Serials 81 Archive for Rational Mechanics and Analysis 78 Journal of Differential Equations 66 SIAM Journal on Mathematical Analysis 61 Journal of Mathematical Fluid Mechanics 51 Communications in Mathematical Physics 44 Nonlinearity 35 Journal of Functional Analysis 33 Annals of PDE 27 Advances in Mathematics 26 Journal of Nonlinear Science 22 Calculus of Variations and Partial Differential Equations 20 Journal of Mathematical Analysis and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Journal of Mathematical Physics 17 Physica D 17 Discrete and Continuous Dynamical Systems 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Analysis & PDE 13 Communications on Pure and Applied Mathematics 13 Communications in Partial Differential Equations 13 Journal of Evolution Equations 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Proceedings of the American Mathematical Society 12 Transactions of the American Mathematical Society 12 Communications on Pure and Applied Analysis 11 Discrete and Continuous Dynamical Systems. Series B 10 Applied Mathematics Letters 10 Nonlinear Analysis. Real World Applications 8 Journal of Fluid Mechanics 8 Journal of Statistical Physics 8 Indiana University Mathematics Journal 8 Stochastic Processes and their Applications 8 Stochastic and Partial Differential Equations. Analysis and Computations 7 Mathematical Methods in the Applied Sciences 7 Acta Mathematica Scientia. Series B. (English Edition) 7 Science China. Mathematics 6 Mathematische Annalen 6 Acta Applicandae Mathematicae 6 Asymptotic Analysis 6 NoDEA. Nonlinear Differential Equations and Applications 6 Annals of Mathematics. Second Series 6 Stochastics and Dynamics 5 Applicable Analysis 5 Computers & Mathematics with Applications 5 Chinese Annals of Mathematics. Series B 5 Journal of Dynamics and Differential Equations 5 Communications in Contemporary Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Inventiones Mathematicae 4 Memoirs of the American Mathematical Society 4 Quarterly of Applied Mathematics 4 Journal of the American Mathematical Society 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Bulletin of the American Mathematical Society. New Series 4 Electronic Research Archive 4 Communications in Mathematical Analysis and Applications 3 Journal of Computational Physics 3 Duke Mathematical Journal 3 Journal of the London Mathematical Society. Second Series 3 Pacific Journal of Mathematics 3 Studies in Applied Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 The Annals of Applied Probability 3 Potential Analysis 3 SIAM Journal on Scientific Computing 3 Journal of the European Mathematical Society (JEMS) 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 3 Séminaire Laurent Schwartz. EDP et Applications 3 Journal of Elliptic and Parabolic Equations 3 SN Partial Differential Equations and Applications 2 Journal d’Analyse Mathématique 2 Russian Mathematical Surveys 2 The Annals of Probability 2 Annales Polonici Mathematici 2 Publications Mathématiques 2 Mathematische Nachrichten 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Ergodic Theory and Dynamical Systems 2 Probability Theory and Related Fields 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Probability 2 Acta Mathematica Sinica. English Series 2 Advanced Nonlinear Studies 2 SIAM Journal on Applied Dynamical Systems 2 Multiscale Modeling & Simulation 2 Journal of Hyperbolic Differential Equations 2 Oberwolfach Reports 2 Boundary Value Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Complex Variables and Elliptic Equations 2 Journal of Physics A: Mathematical and Theoretical 2 Communications in Computational Physics ...and 85 more Serials all top 5 Cited in 45 Fields 1,080 Partial differential equations (35-XX) 807 Fluid mechanics (76-XX) 124 Probability theory and stochastic processes (60-XX) 117 Geophysics (86-XX) 55 Dynamical systems and ergodic theory (37-XX) 47 Real functions (26-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 25 Numerical analysis (65-XX) 22 Biology and other natural sciences (92-XX) 19 Statistical mechanics, structure of matter (82-XX) 17 Operator theory (47-XX) 17 Systems theory; control (93-XX) 16 Ordinary differential equations (34-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Differential geometry (53-XX) 9 Functions of a complex variable (30-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Measure and integration (28-XX) 8 Functional analysis (46-XX) 6 Mechanics of deformable solids (74-XX) 6 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Manifolds and cell complexes (57-XX) 3 Optics, electromagnetic theory (78-XX) 3 Astronomy and astrophysics (85-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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