Edit Profile Kukavica, Igor Compute Distance To: Compute Author ID: kukavica.igor Published as: Kukavica, I.; Kukavica, Igor Homepage: http://bcf.usc.edu/~kukavica/pdf/index.html External Links: MGP · Wikidata · ResearchGate Documents Indexed: 137 Publications since 1991, including 1 Book all top 5 Co-Authors 35 single-authored 34 Ziane, Mohammed 20 Vicol, Vlad C. 17 Tuffaha, Amjad M. 10 Ignatova, Mihaela 10 Wang, Fei 8 Rusin, Walter M. 7 Çamliyurt, Güher 5 Grujić, Zoran 5 Lasiecka, Irena 4 Disconzi, Marcelo Mendes 4 Foiaş, Ciprian Ilie 4 Hu, Weiwei 4 Temam, Roger Meyer 3 Bradshaw, Zachary 3 Constantin, Peter 3 Ekren, Ibrahim 2 Jolly, Michael S. 2 Pei, Yuan 2 Robinson, James Cooper 2 Ryzhik, Lenya 2 Titi, Edriss Saleh 2 Torres, Joaquín J. 2 Triggiani, Roberto 1 Benachour, Said 1 Bensoussan, Alain 1 Coti Zelati, Michele 1 Doering, Charles R. 1 Friz, Peter Karl 1 Glatt-Holtz, Nathan E. 1 Huang, Aimin 1 Kaltenbacher, Barbara 1 Lombardo, Maria Carmela 1 Majda, Andrew J. 1 Malcok, Mehmet 1 Masmoudi, Nader 1 Mazzucato, Anna L. 1 Mitter, Sanjoy K. 1 Nyström, Kaj 1 Reis, Ednei 1 Sammartino, Marco Maria Luigi 1 Uǧurlu, Kerem 1 Wang, Weinan 1 Webster, Justin T. 1 Wong, Tak Kwong 1 Xu, Fanhui all top 5 Serials 19 Nonlinearity 12 Journal of Differential Equations 9 Journal of Dynamics and Differential Equations 9 Discrete and Continuous Dynamical Systems 7 Indiana University Mathematics Journal 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Mathematical Physics 6 Proceedings of the American Mathematical Society 5 Asymptotic Analysis 4 Applied Mathematics and Optimization 4 Communications in Partial Differential Equations 4 Advances in Differential Equations 4 Communications in Mathematical Sciences 3 Journal of Mathematical Analysis and Applications 3 Physica D 3 Journal of Mathematical Fluid Mechanics 3 Evolution Equations and Control Theory 2 Archive for Rational Mechanics and Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Differential and Integral Equations 2 SIAM Journal on Mathematical Analysis 1 Journal d’Analyse Mathématique 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Oberwolfach Seminars 1 Stochastic and Partial Differential Equations. Analysis and Computations all top 5 Fields 130 Partial differential equations (35-XX) 79 Fluid mechanics (76-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Mechanics of deformable solids (74-XX) 8 Geophysics (86-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Potential theory (31-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 120 Publications have been cited 1,257 times in 693 Documents Cited by ▼ Year ▼ One component regularity for the Navier-Stokes equations. Zbl 1149.35069Kukavica, Igor; Ziane, Mohammed 85 2006 Navier-Stokes equations with regularity in one direction. Zbl 1144.81373Kukavica, Igor; Ziane, Mohammed 78 2007 Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\). Zbl 0896.35105Grujić, Zoran; Kukavica, Igor 53 1998 On the regularity of the primitive equations of the ocean. Zbl 1136.35069Kukavica, Igor; Ziane, Mohammed 48 2007 Quantitative uniqueness for second-order elliptic operators. Zbl 0947.35045Kukavica, Igor 38 1998 On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224Kukavica, Igor; Vicol, Vlad 36 2013 On the radius of analyticity of solutions to the three-dimensional Euler equations. Zbl 1156.76010Kukavica, Igor; Vicol, Vlad 36 2009 On the local well-posedness of the Prandtl and hydrostatic Euler equations with multiple monotonicity regions. Zbl 1317.35202Kukavica, Igor; Masmoudi, Nader; Vicol, Vlad; Wong, Tak Kwong 31 2014 On the regularity for the Boussinesq equations in a bounded domain. Zbl 1293.35246Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed 24 2013 On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073Constantin, Peter; Kukavica, Igor; Vicol, Vlad 23 2015 On well-posedness and small data global existence for an interface damped free boundary fluid-structure model. Zbl 1286.35272Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad 23 2014 Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain. Zbl 1204.35129Kukavica, Igor; Temam, Roger; Vicol, Vlad C.; Ziane, Mohammed 23 2011 Determining nodes for the Kuramoto-Sivashinsky equation. Zbl 0835.35067Foias, Ciprian; Kukavica, Igor 21 1995 On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations. Zbl 1213.35345Kukavica, Igor; Vicol, Vlad 19 2011 On the number of determining nodes for the Ginzburg-Landau equation. Zbl 0758.34014Kukavica, Igor 19 1992 On partial regularity for the Navier-Stokes equations. Zbl 1147.35071Kukavica, Igor 18 2008 Persistence of regularity for the viscous Boussinesq equations with zero diffusivity. Zbl 1319.35192Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed 17 2015 Solutions to a fluid-structure interaction free boundary problem. Zbl 1234.35320Kukavica, Igor; Tuffaha, Amjad 17 2012 On the dissipative scale for the Navier-Stokes equation. Zbl 0937.35126Kukavica, Igor 17 1999 The primitive equations of the atmosphere in presence of vapour saturation. Zbl 1308.35233Zelati, Michele Coti; Huang, Aimin; Kukavica, Igor; Temam, Roger; Ziane, Mohammed 16 2015 Solutions to a free boundary problem of fluid-structure interaction. Zbl 1280.35094Kukavica, Igor; Tuffaha, Amjad 16 2012 The domain of analyticity of solutions to the three-dimensional Euler equations in a half space. Zbl 1308.35192Kukavica, Igor; Vicol, Vlad C. 16 2011 Existence and regularity of invariant measures for the three dimensional stochastic primitive equations. Zbl 1338.37065Glatt-Holtz, Nathan; Kukavica, Igor; Vicol, Vlad; Ziane, Mohammed 15 2014 Well-posedness for the compressible Navier-Stokes-Lamé system with a free interface. Zbl 1256.35213Kukavica, Igor; Tuffaha, Amjad 15 2012 Strong solutions to a Navier-Stokes-Lamé system on a domain with a non-flat boundary. Zbl 1372.76029Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed 14 2011 The fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1181.35173Kukavica, Igor 14 2009 Strong solutions to a nonlinear fluid structure interaction system. Zbl 1180.35415Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed 14 2009 The regularity of solutions of the primitive equations of the ocean in space dimension three. Zbl 1174.35097Kukavica, Igor; Ziane, Mohammed 14 2007 Regularity of the Navier-Stokes equation in a thin periodic domain with large data. Zbl 1115.35098Kukavica, Igor; Ziane, Mohammed 14 2006 Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J. 14 1997 The van Dommelen and Shen singularity in the Prandtl equations. Zbl 1357.35058Kukavica, Igor; Vicol, Vlad; Wang, Fei 13 2017 Primitive equations with continuous initial data. Zbl 1291.35187Kukavica, Igor; Pei, Yuan; Rusin, Walter; Ziane, Mohammed 13 2014 Strong solutions for a fluid structure interaction system. Zbl 1191.35206Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed 13 2010 Weighted \(L^{p}\) decay for solutions of the Navier-Stokes equations. Zbl 1121.35101Kukavica, Igor; Torres, J. J. 13 2007 Unique continuation on the boundary for Dini domains. Zbl 0891.31006Kukavica, Igor; Nyström, Kaj 13 1998 Level sets of the vorticity and the stream function for the 2D periodic Navier-Stokes equations with potential forces. Zbl 0847.35103Kukavica, Igor 13 1996 On well-posedness for a free boundary fluid-structure model. Zbl 06245454Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad 12 2012 On the regularity of the Navier-Stokes equation in a thin periodic domain. Zbl 1118.35029Kukavica, Igor; Ziane, Mohammed 12 2007 An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1247.35094Kukavica, Igor; Pei, Yuan 10 2012 Log-log convexity and backward uniqueness. Zbl 1119.35007Kukavica, Igor 10 2007 Weighted bounds for the velocity and the vorticity for the Navier-Stokes equations. Zbl 1106.35052Kukavica, Igor; Torres, J. J. 10 2006 Space-time decay for solutions of the Navier-Stokes equations. Zbl 1006.35078Kukavica, Igor 10 2001 Space analyticity for the nonlinear heat equation in a bounded domain. Zbl 0926.35026Grujić, Zoran; Kukavica, Igor 10 1999 Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. Zbl 1205.35200Kukavica, Igor; Reis, Ednei 9 2011 Regularity for the Navier-Stokes equations with a solution in a Morrey space. Zbl 1159.35056Kukavica, Igor 9 2008 On the local existence and uniqueness for the 3D Euler equation with a free interface. Zbl 1384.35074Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad 8 2017 Small data global existence for a fluid-structure model. Zbl 1357.35299Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad 8 2017 The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya 8 2014 Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation. Zbl 1105.35081Kukavica, Igor 8 2006 Backward behavior of solutions of the Kuramoto-Sivashinsky equation. Zbl 1080.35121Kukavica, Igor; Malcok, Mehmet 8 2005 On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data. Zbl 1050.35070Kukavica, Igor 8 2003 The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S. 8 2001 On the behavior of the solutions of the Kuramoto-Sivashinsky equation for negative time. Zbl 0788.35118Kukavica, Igor 8 1992 Zero viscosity limit for analytic solutions of the primitive equations. Zbl 1379.35247Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco 7 2016 Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing. Zbl 1320.35253Bradshaw, Zachary; Grujić, Zoran; Kukavica, Igor 7 2015 Uniform gradient bounds for the primitive equations of the ocean. Zbl 1224.35346Kukavica, Igor; Ziane, Mohammed 7 2008 Hausdorff length of level sets for solutions of the Ginzburg-Landau equation. Zbl 0821.35129Kukavica, Igor 7 1995 Gevrey regularity for the Navier-Stokes in a half-space. Zbl 1397.35049Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad 6 2018 A regularity result for the incompressible Euler equation with a free interface. Zbl 1300.35085Kukavica, Igor; Tuffaha, Amjad 6 2014 On the 2D free boundary Euler equation. Zbl 1282.35286Kukavica, Igor; Tuffaha, Amjad 6 2012 Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data. Zbl 1194.35247Kukavica, Igor; Temam, Roger; Vicol, Vlad; Ziane, Mohammed 6 2010 On the weighted decay for solutions of the Navier-Stokes system. Zbl 1166.35358Kukavica, Igor 6 2009 Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem. Zbl 1058.35045Kukavica, Igor; Robinson, James C. 6 2004 Length of vorticity nodal sets for solutions of the 2D Navier-Stokes equations. Zbl 1048.35061Kukavica, Igor 6 2003 A remark on time-analyticity for the Kuramoto–Sivashinsky equation. Zbl 1020.35095Grujić, Zoran; Kukavica, Igor 6 2003 Nodal parametrisation of analytic attractors. Zbl 1153.37439Friz, Peter K.; Kukavica, Igor; Robinson, James C. 6 2001 Nodal volumes for eigenfunctions of analytic regular elliptic problems. Zbl 0845.35073Kukavica, Igor 6 1995 Oscillations of solutions of the Kuramoto-Sivashinsky equation. Zbl 0824.35114Kukavica, Igor 6 1994 An upper bound for the winding number for solutions of the Ginzburg- Landau equation. Zbl 0793.35075Kukavica, Igor 6 1992 Existence of invariant measures for the stochastic damped Schrödinger equation. Zbl 1379.60066Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed 5 2017 An anisotropic partial regularity criterion for the Navier-Stokes equations. Zbl 06731854Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 5 2017 On the local existence of the free-surface Euler equation with surface tension. Zbl 1356.35167Ignatova, Mihaela; Kukavica, Igor 5 2016 Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233Constantin, Peter; Kukavica, Igor; Vicol, Vlad 5 2016 Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces. Zbl 1334.35103Kukavica, Igor; Wang, Fei; Ziane, Mohammed 5 2016 A class of solutions of the Navier-Stokes equations with large data. Zbl 1290.35186Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 5 2013 Partial regularity results for solutions of the Navier-Stokes system. Zbl 1185.35169Kukavica, Igor 5 2009 Self-similar variables and the complex Ginzburg-Landau equation. Zbl 0927.35106Kukavica, Igor 5 1999 Localization of attractors by their analytic properties. Zbl 0905.34048Foias, C.; Jolly, M. S.; Kukavica, I. 5 1996 Local existence of solutions to the free boundary value problem for the primitive equations of the ocean. Zbl 1278.76011Ignatova, Mihaela; Kukavica, Igor; Ziane, Mohammed 4 2012 Pressure integrability conditions for uniqueness of mild solutions of the Navier–Stokes system. Zbl 1105.35080Kukavica, Igor 4 2006 Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation. Zbl 0963.35007Kukavica, Igor 4 2000 On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations. Zbl 0744.35033Kukavica, Igor 4 1991 The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. Zbl 1437.35539Kukavica, Igor; Vicol, Vlad; Wang, Fei 3 2020 Quantitative unique continuation for a parabolic equation. Zbl 1402.35134Camliyurt, Guher; Kukavica, Igor 3 2018 The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity. Zbl 1343.35047Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya 3 2016 Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 3 2014 A class of large \(BMO^{-1}\) non-oscillatory data for the Navier-Stokes equations. Zbl 1291.35188Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 3 2014 Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients. Zbl 1211.35061Ignatova, Mihaela; Kukavica, Igor 3 2010 On local uniqueness of weak solutions to the Navier-Stokes system with \(\mathrm{BMO}^{-1}\) initial datum. Zbl 1148.35064Kukavica, Igor; Vicol, Vlad 3 2008 Backward uniqueness for solutions of linear parabolic equations. Zbl 1039.35049Kukavica, Igor 3 2004 Level sets for the stationary solutions of the Ginzburg-Landau equation. Zbl 0884.35018Kukavica, Igor 3 1997 An absence of a certain class of periodic solutions in the Navier-Stokes equations. Zbl 0795.35005Kukavica, Igor 3 1994 A Lagrangian interior regularity result for the incompressible free boundary Euler equation with surface tension. Zbl 1423.35464Disconzi, Marcelo M.; Kukavica, Igor; Tuffaha, Amjad 2 2019 A priori estimates for the free-boundary Euler equations with surface tension in three dimensions. Zbl 1421.35260Disconzi, Marcelo M.; Kukavica, Igor 2 2019 A direct approach to Gevrey regularity on the half-space. Zbl 1405.35013Kukavica, Igor; Vicol, Vlad 2 2018 Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T. 2 2018 A local asymptotic expansion for a solution of the Stokes system. Zbl 1351.76021Çamliyurt, Güher; Kukavica, Igor 2 2016 On the ill-posedness of active scalar equations with odd singular kernels. Zbl 1348.35303Kukavica, Igor; Vicol, Vlad; Wang, Fei 2 2016 Moments for strong solutions of the 2D stochastic Navier-Stokes equations in a bounded domain. Zbl 1323.35231Kukavica, Igor; Vicol, Vlad 2 2014 Sharp trace regularity for an anisotropic elasticity system. Zbl 1272.35061Kukavica, Igor; Mazzucato, Anna L.; Tuffaha, Amjad 2 2013 The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. Zbl 1437.35539Kukavica, Igor; Vicol, Vlad; Wang, Fei 3 2020 A Lagrangian interior regularity result for the incompressible free boundary Euler equation with surface tension. Zbl 1423.35464Disconzi, Marcelo M.; Kukavica, Igor; Tuffaha, Amjad 2 2019 A priori estimates for the free-boundary Euler equations with surface tension in three dimensions. Zbl 1421.35260Disconzi, Marcelo M.; Kukavica, Igor 2 2019 A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid. Zbl 1423.35463Disconzi, Marcelo M.; Kukavica, Igor 1 2019 Gevrey regularity for the Navier-Stokes in a half-space. Zbl 1397.35049Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad 6 2018 Quantitative unique continuation for a parabolic equation. Zbl 1402.35134Camliyurt, Guher; Kukavica, Igor 3 2018 A direct approach to Gevrey regularity on the half-space. Zbl 1405.35013Kukavica, Igor; Vicol, Vlad 2 2018 Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T. 2 2018 Existence of invariant measures for the stochastic damped KdV equation. Zbl 1409.37078Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed 1 2018 On the Lagrangian and Eulerian analyticity for the Euler equations. Zbl 1398.76021Camliyurt, Guher; Kukavica, Igor 1 2018 On the local existence for the Euler equations with free boundary for compressible and incompressible fluids. Zbl 1392.35206Disconzi, Marcelo M.; Kukavica, Igor 1 2018 On the Galerkin approximation and strong norm bounds for the stochastic Navier-Stokes equations with multiplicative noise. Zbl 1424.60077Kukavica, Igor; Uğurlu, Kerem; Ziane, Mohammed 1 2018 The van Dommelen and Shen singularity in the Prandtl equations. Zbl 1357.35058Kukavica, Igor; Vicol, Vlad; Wang, Fei 13 2017 On the local existence and uniqueness for the 3D Euler equation with a free interface. Zbl 1384.35074Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad 8 2017 Small data global existence for a fluid-structure model. Zbl 1357.35299Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad 8 2017 Existence of invariant measures for the stochastic damped Schrödinger equation. Zbl 1379.60066Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed 5 2017 An anisotropic partial regularity criterion for the Navier-Stokes equations. Zbl 06731854Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 5 2017 Localized anisotropic regularity conditions for the Navier-Stokes equations. Zbl 1379.35213Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 1 2017 Zero viscosity limit for analytic solutions of the primitive equations. Zbl 1379.35247Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco 7 2016 On the local existence of the free-surface Euler equation with surface tension. Zbl 1356.35167Ignatova, Mihaela; Kukavica, Igor 5 2016 Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233Constantin, Peter; Kukavica, Igor; Vicol, Vlad 5 2016 Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces. Zbl 1334.35103Kukavica, Igor; Wang, Fei; Ziane, Mohammed 5 2016 The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity. Zbl 1343.35047Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya 3 2016 A local asymptotic expansion for a solution of the Stokes system. Zbl 1351.76021Çamliyurt, Güher; Kukavica, Igor 2 2016 On the ill-posedness of active scalar equations with odd singular kernels. Zbl 1348.35303Kukavica, Igor; Vicol, Vlad; Wang, Fei 2 2016 Boussinesq equations with zero viscosity or zero diffusivity: a review. Zbl 1362.35231Hu, Weiwei; Kukavica, Igor; Wang, Fei; Ziane, Mohammed 1 2016 On the existence for the free interface 2D Euler equation with a localized vorticity condition. Zbl 1351.35118Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad; Wang, Fei 1 2016 Preface: In memory of A. V. Balakrishnan. Zbl 1341.01041Bensoussan, Alain (ed.); Kukavica, Igor (ed.); Lasiecka, Irena (ed.); Mitter, Sanjoy (ed.); Temam, Roger (ed.); Triggiani, Roberto (ed.) 1 2016 On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073Constantin, Peter; Kukavica, Igor; Vicol, Vlad 23 2015 Persistence of regularity for the viscous Boussinesq equations with zero diffusivity. Zbl 1319.35192Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed 17 2015 The primitive equations of the atmosphere in presence of vapour saturation. Zbl 1308.35233Zelati, Michele Coti; Huang, Aimin; Kukavica, Igor; Temam, Roger; Ziane, Mohammed 16 2015 Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing. Zbl 1320.35253Bradshaw, Zachary; Grujić, Zoran; Kukavica, Igor 7 2015 Weighted decay for the surface quasi-geostrophic equation. Zbl 1332.35362Kukavica, Igor; Wang, Fei 1 2015 On the local existence for an active scalar equation. Zbl 1311.35196Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed 1 2015 On the local well-posedness of the Prandtl and hydrostatic Euler equations with multiple monotonicity regions. Zbl 1317.35202Kukavica, Igor; Masmoudi, Nader; Vicol, Vlad; Wong, Tak Kwong 31 2014 On well-posedness and small data global existence for an interface damped free boundary fluid-structure model. Zbl 1286.35272Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad 23 2014 Existence and regularity of invariant measures for the three dimensional stochastic primitive equations. Zbl 1338.37065Glatt-Holtz, Nathan; Kukavica, Igor; Vicol, Vlad; Ziane, Mohammed 15 2014 Primitive equations with continuous initial data. Zbl 1291.35187Kukavica, Igor; Pei, Yuan; Rusin, Walter; Ziane, Mohammed 13 2014 The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya 8 2014 A regularity result for the incompressible Euler equation with a free interface. Zbl 1300.35085Kukavica, Igor; Tuffaha, Amjad 6 2014 Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 3 2014 A class of large \(BMO^{-1}\) non-oscillatory data for the Navier-Stokes equations. Zbl 1291.35188Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 3 2014 Moments for strong solutions of the 2D stochastic Navier-Stokes equations in a bounded domain. Zbl 1323.35231Kukavica, Igor; Vicol, Vlad 2 2014 On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224Kukavica, Igor; Vicol, Vlad 36 2013 On the regularity for the Boussinesq equations in a bounded domain. Zbl 1293.35246Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed 24 2013 A class of solutions of the Navier-Stokes equations with large data. Zbl 1290.35186Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 5 2013 Sharp trace regularity for an anisotropic elasticity system. Zbl 1272.35061Kukavica, Igor; Mazzucato, Anna L.; Tuffaha, Amjad 2 2013 Solutions of the Navier-Stokes equations for large oscillatory data. Zbl 1264.35165Kukavica, Igor; Rusin, Walter; Ziane, Mohammed 2 2013 Strong unique continuation for the Navier-Stokes equation with non-analytic forcing. Zbl 1307.35195Ignatova, Mihaela; Kukavica, Igor 2 2013 Solutions to a fluid-structure interaction free boundary problem. Zbl 1234.35320Kukavica, Igor; Tuffaha, Amjad 17 2012 Solutions to a free boundary problem of fluid-structure interaction. Zbl 1280.35094Kukavica, Igor; Tuffaha, Amjad 16 2012 Well-posedness for the compressible Navier-Stokes-Lamé system with a free interface. Zbl 1256.35213Kukavica, Igor; Tuffaha, Amjad 15 2012 On well-posedness for a free boundary fluid-structure model. Zbl 06245454Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad 12 2012 An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1247.35094Kukavica, Igor; Pei, Yuan 10 2012 On the 2D free boundary Euler equation. Zbl 1282.35286Kukavica, Igor; Tuffaha, Amjad 6 2012 Local existence of solutions to the free boundary value problem for the primitive equations of the ocean. Zbl 1278.76011Ignatova, Mihaela; Kukavica, Igor; Ziane, Mohammed 4 2012 Strong unique continuation for higher order elliptic equations with Gevrey coefficients. Zbl 1246.35055Ignatova, Mihaela; Kukavica, Igor 2 2012 Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain. Zbl 1204.35129Kukavica, Igor; Temam, Roger; Vicol, Vlad C.; Ziane, Mohammed 23 2011 On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations. Zbl 1213.35345Kukavica, Igor; Vicol, Vlad 19 2011 The domain of analyticity of solutions to the three-dimensional Euler equations in a half space. Zbl 1308.35192Kukavica, Igor; Vicol, Vlad C. 16 2011 Strong solutions to a Navier-Stokes-Lamé system on a domain with a non-flat boundary. Zbl 1372.76029Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed 14 2011 Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. Zbl 1205.35200Kukavica, Igor; Reis, Ednei 9 2011 Partial regularity for the Navier-Stokes equations with a force in a Morrey space. Zbl 1205.35199Kukavica, Igor 2 2011 Strong solutions for a fluid structure interaction system. Zbl 1191.35206Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed 13 2010 Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data. Zbl 1194.35247Kukavica, Igor; Temam, Roger; Vicol, Vlad; Ziane, Mohammed 6 2010 Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients. Zbl 1211.35061Ignatova, Mihaela; Kukavica, Igor 3 2010 On regularity for the Navier-Stokes equations in Morrey spaces. Zbl 1186.35143Kukavica, Igor 2 2010 On the radius of analyticity of solutions to the three-dimensional Euler equations. Zbl 1156.76010Kukavica, Igor; Vicol, Vlad 36 2009 The fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1181.35173Kukavica, Igor 14 2009 Strong solutions to a nonlinear fluid structure interaction system. Zbl 1180.35415Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed 14 2009 On the weighted decay for solutions of the Navier-Stokes system. Zbl 1166.35358Kukavica, Igor 6 2009 Partial regularity results for solutions of the Navier-Stokes system. Zbl 1185.35169Kukavica, Igor 5 2009 On partial regularity for the Navier-Stokes equations. Zbl 1147.35071Kukavica, Igor 18 2008 Regularity for the Navier-Stokes equations with a solution in a Morrey space. Zbl 1159.35056Kukavica, Igor 9 2008 Uniform gradient bounds for the primitive equations of the ocean. Zbl 1224.35346Kukavica, Igor; Ziane, Mohammed 7 2008 On local uniqueness of weak solutions to the Navier-Stokes system with \(\mathrm{BMO}^{-1}\) initial datum. Zbl 1148.35064Kukavica, Igor; Vicol, Vlad 3 2008 Navier-Stokes equations with regularity in one direction. Zbl 1144.81373Kukavica, Igor; Ziane, Mohammed 78 2007 On the regularity of the primitive equations of the ocean. Zbl 1136.35069Kukavica, Igor; Ziane, Mohammed 48 2007 The regularity of solutions of the primitive equations of the ocean in space dimension three. Zbl 1174.35097Kukavica, Igor; Ziane, Mohammed 14 2007 Weighted \(L^{p}\) decay for solutions of the Navier-Stokes equations. Zbl 1121.35101Kukavica, Igor; Torres, J. J. 13 2007 On the regularity of the Navier-Stokes equation in a thin periodic domain. Zbl 1118.35029Kukavica, Igor; Ziane, Mohammed 12 2007 Log-log convexity and backward uniqueness. Zbl 1119.35007Kukavica, Igor 10 2007 One component regularity for the Navier-Stokes equations. Zbl 1149.35069Kukavica, Igor; Ziane, Mohammed 85 2006 Regularity of the Navier-Stokes equation in a thin periodic domain with large data. Zbl 1115.35098Kukavica, Igor; Ziane, Mohammed 14 2006 Weighted bounds for the velocity and the vorticity for the Navier-Stokes equations. Zbl 1106.35052Kukavica, Igor; Torres, J. J. 10 2006 Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation. Zbl 1105.35081Kukavica, Igor 8 2006 Pressure integrability conditions for uniqueness of mild solutions of the Navier–Stokes system. Zbl 1105.35080Kukavica, Igor 4 2006 Backward behavior of solutions of the Kuramoto-Sivashinsky equation. Zbl 1080.35121Kukavica, Igor; Malcok, Mehmet 8 2005 Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem. Zbl 1058.35045Kukavica, Igor; Robinson, James C. 6 2004 Backward uniqueness for solutions of linear parabolic equations. Zbl 1039.35049Kukavica, Igor 3 2004 Spatial complexity of solutions of higher order partial differential equations. Zbl 1052.35071Kukavica, Igor 2 2004 On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data. Zbl 1050.35070Kukavica, Igor 8 2003 Length of vorticity nodal sets for solutions of the 2D Navier-Stokes equations. Zbl 1048.35061Kukavica, Igor 6 2003 A remark on time-analyticity for the Kuramoto–Sivashinsky equation. Zbl 1020.35095Grujić, Zoran; Kukavica, Igor 6 2003 Fourier parameterization of attractors for dissipative equations in one space dimension. Zbl 1041.35018Kukavica, Igor 2 2003 Space-time decay for solutions of the Navier-Stokes equations. Zbl 1006.35078Kukavica, Igor 10 2001 The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S. 8 2001 Nodal parametrisation of analytic attractors. Zbl 1153.37439Friz, Peter K.; Kukavica, Igor; Robinson, James C. 6 2001 Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation. Zbl 0963.35007Kukavica, Igor 4 2000 A ladder inequality for the Navier-Stokes equation. Zbl 0966.76017Kukavica, Igor 1 2000 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 756 Authors 67 Kukavica, Igor 33 Titi, Edriss Saleh 25 Vicol, Vlad C. 18 Ziane, Mohammed 16 Zhang, Zujin 14 Temam, Roger Meyer 13 Skalák, Zdeněk 12 Biswas, Animikh 12 Lasiecka, Irena 12 Robinson, James Cooper 12 Yamazaki, Kazuo 11 Foiaş, Ciprian Ilie 11 Wu, Jiahong 11 Zhang, Zhifei 10 Cao, Chongsheng 10 Constantin, Peter 9 Ignatova, Mihaela 9 Li, Jinkai 9 Tuffaha, Amjad M. 8 Glatt-Holtz, Nathan E. 8 Masmoudi, Nader 8 Muha, Boris 8 Sammartino, Marco Maria Luigi 7 Guo, Zhengguang 7 Zhang, Ping 6 Çamliyurt, Güher 6 Gala, Sadek 6 Grujić, Zoran 6 Hu, Weiwei 6 Jolly, Michael S. 6 Larios, Adam 6 Liu, Qiao 6 Rusin, Walter M. 6 Sciacca, Vincenzo 6 Triggiani, Roberto 6 Wang, Wendong 6 Wang, Yanqing 6 Yang, Tong 6 Zhou, Daoguo 5 Avalos, George 5 Bedrossian, Jacob 5 Bociu, Lorena 5 Čanić, Sunčica 5 Dong, Hongjie 5 Martinez, Vincent R. 5 Qian, Chenyin 5 Shvydkoy, Roman V. 5 Tautenhahn, Martin 5 Toundykov, Daniel 5 Vessella, Sergio 5 Wang, Ya-Guang 5 Yang, Minsuk 5 Zhu, Jiuyi 4 Bae, Hyeong-Ohk 4 Bradshaw, Zachary 4 Chueshov, Igor’ Dmitrievich 4 Disconzi, Marcelo Mendes 4 Felli, Veronica 4 Gao, Hongjun 4 Gargano, Francesco 4 Hieber, Matthias 4 Hoang, Luan Thach 4 Kashiwabara, Takahito 4 Liu, Cheng-Jie 4 Lu, Yongjin 4 Mazzucato, Anna L. 4 Pokorný, Milan 4 Ragusa, Maria Alessandra 4 Wang, Fei 4 Wang, Jenn-Nan 4 Wang, Yuxi 4 Wong, Tak Kwong 4 Xie, Feng 4 Yao, Zhengan 4 Zhao, Kun 4 Zhou, Yong 3 Allouba, Hassan 3 Avrin, Joel D. 3 Bae, Hantaek 3 Banerjee, Agnid 3 Barker, Tobias 3 Davey, Blair 3 Doering, Charles R. 3 Dong, Boqing 3 Ekren, Ibrahim 3 Farhat, Aseel 3 Frisch, Uriel 3 Garofalo, Nicola 3 Gérard-Varet, David 3 He, Yinnian 3 Himonas, A. Alexandrou 3 Huang, Aimin 3 Hussein, Amru 3 Ju, Ning 3 Kalantarov, Varga K. 3 Lemarié-Rieusset, Pierre Gilles 3 Lu, Ming 3 Maekawa, Yasunori 3 Nguyen Huy Tuan 3 Nguyen, Toan Trong ...and 656 more Authors all top 5 Cited in 141 Serials 66 Journal of Differential Equations 39 Journal of Mathematical Analysis and Applications 34 Archive for Rational Mechanics and Analysis 33 Journal of Mathematical Fluid Mechanics 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Physica D 22 SIAM Journal on Mathematical Analysis 19 Communications in Mathematical Physics 18 Journal of Mathematical Physics 17 Nonlinear Analysis. Real World Applications 16 Journal of Functional Analysis 14 Proceedings of the American Mathematical Society 14 Applied Mathematics Letters 14 Journal of Dynamics and Differential Equations 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Annales de l’Institut Henri Poincaré. 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(English Edition) ...and 41 more Serials all top 5 Cited in 37 Fields 629 Partial differential equations (35-XX) 430 Fluid mechanics (76-XX) 58 Geophysics (86-XX) 51 Dynamical systems and ergodic theory (37-XX) 40 Mechanics of deformable solids (74-XX) 30 Probability theory and stochastic processes (60-XX) 27 Numerical analysis (65-XX) 22 Ordinary differential equations (34-XX) 22 Systems theory; control (93-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 12 Operator theory (47-XX) 11 Functional analysis (46-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Biology and other natural sciences (92-XX) 6 Real functions (26-XX) 5 Integral equations (45-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Differential geometry (53-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Statistics (62-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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