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## Kukavica, Igor

Compute Distance To:
 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
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#### 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
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#### 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
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#### 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)

#### 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 1149.35069
Kukavica, Igor; Ziane, Mohammed
2006
Navier-Stokes equations with regularity in one direction. Zbl 1144.81373
Kukavica, Igor; Ziane, Mohammed
2007
Space analyticity for the Navier-Stokes and related equations with initial data in $$L^p$$. Zbl 0896.35105
Grujić, Zoran; Kukavica, Igor
1998
On the regularity of the primitive equations of the ocean. Zbl 1136.35069
Kukavica, Igor; Ziane, Mohammed
2007
Quantitative uniqueness for second-order elliptic operators. Zbl 0947.35045
Kukavica, Igor
1998
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
2013
On the radius of analyticity of solutions to the three-dimensional Euler equations. Zbl 1156.76010
2009
On the local well-posedness of the Prandtl and hydrostatic Euler equations with multiple monotonicity regions. Zbl 1317.35202
2014
On the regularity for the Boussinesq equations in a bounded domain. Zbl 1293.35246
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
2013
On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
2015
On well-posedness and small data global existence for an interface damped free boundary fluid-structure model. Zbl 1286.35272
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
2014
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
2011
Determining nodes for the Kuramoto-Sivashinsky equation. Zbl 0835.35067
Foias, Ciprian; Kukavica, Igor
1995
On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations. Zbl 1213.35345
2011
On the number of determining nodes for the Ginzburg-Landau equation. Zbl 0758.34014
Kukavica, Igor
1992
On partial regularity for the Navier-Stokes equations. Zbl 1147.35071
Kukavica, Igor
2008
Persistence of regularity for the viscous Boussinesq equations with zero diffusivity. Zbl 1319.35192
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
2015
Solutions to a fluid-structure interaction free boundary problem. Zbl 1234.35320
2012
On the dissipative scale for the Navier-Stokes equation. Zbl 0937.35126
Kukavica, Igor
1999
The primitive equations of the atmosphere in presence of vapour saturation. Zbl 1308.35233
Zelati, Michele Coti; Huang, Aimin; Kukavica, Igor; Temam, Roger; Ziane, Mohammed
2015
Solutions to a free boundary problem of fluid-structure interaction. Zbl 1280.35094
2012
The domain of analyticity of solutions to the three-dimensional Euler equations in a half space. Zbl 1308.35192
2011
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
2014
Well-posedness for the compressible Navier-Stokes-Lamé system with a free interface. Zbl 1256.35213
2012
Strong solutions to a Navier-Stokes-Lamé system on a domain with a non-flat boundary. Zbl 1372.76029
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
2011
The fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1181.35173
Kukavica, Igor
2009
Strong solutions to a nonlinear fluid structure interaction system. Zbl 1180.35415
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
2009
The regularity of solutions of the primitive equations of the ocean in space dimension three. Zbl 1174.35097
Kukavica, Igor; Ziane, Mohammed
2007
Regularity of the Navier-Stokes equation in a thin periodic domain with large data. Zbl 1115.35098
Kukavica, Igor; Ziane, Mohammed
2006
Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085
Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J.
1997
The van Dommelen and Shen singularity in the Prandtl equations. Zbl 1357.35058
Kukavica, Igor; Vicol, Vlad; Wang, Fei
2017
Primitive equations with continuous initial data. Zbl 1291.35187
Kukavica, Igor; Pei, Yuan; Rusin, Walter; Ziane, Mohammed
2014
Strong solutions for a fluid structure interaction system. Zbl 1191.35206
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
2010
Weighted $$L^{p}$$ decay for solutions of the Navier-Stokes equations. Zbl 1121.35101
Kukavica, Igor; Torres, J. J.
2007
Unique continuation on the boundary for Dini domains. Zbl 0891.31006
Kukavica, Igor; Nyström, Kaj
1998
Level sets of the vorticity and the stream function for the 2D periodic Navier-Stokes equations with potential forces. Zbl 0847.35103
Kukavica, Igor
1996
On well-posedness for a free boundary fluid-structure model. Zbl 06245454
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
2012
On the regularity of the Navier-Stokes equation in a thin periodic domain. Zbl 1118.35029
Kukavica, Igor; Ziane, Mohammed
2007
An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1247.35094
Kukavica, Igor; Pei, Yuan
2012
Log-log convexity and backward uniqueness. Zbl 1119.35007
Kukavica, Igor
2007
Weighted bounds for the velocity and the vorticity for the Navier-Stokes equations. Zbl 1106.35052
Kukavica, Igor; Torres, J. J.
2006
Space-time decay for solutions of the Navier-Stokes equations. Zbl 1006.35078
Kukavica, Igor
2001
Space analyticity for the nonlinear heat equation in a bounded domain. Zbl 0926.35026
Grujić, Zoran; Kukavica, Igor
1999
Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. Zbl 1205.35200
Kukavica, Igor; Reis, Ednei
2011
Regularity for the Navier-Stokes equations with a solution in a Morrey space. Zbl 1159.35056
Kukavica, Igor
2008
On the local existence and uniqueness for the 3D Euler equation with a free interface. Zbl 1384.35074
2017
Small data global existence for a fluid-structure model. Zbl 1357.35299
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
2017
The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
2014
Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation. Zbl 1105.35081
Kukavica, Igor
2006
Backward behavior of solutions of the Kuramoto-Sivashinsky equation. Zbl 1080.35121
Kukavica, Igor; Malcok, Mehmet
2005
On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data. Zbl 1050.35070
Kukavica, Igor
2003
The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012
Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S.
2001
On the behavior of the solutions of the Kuramoto-Sivashinsky equation for negative time. Zbl 0788.35118
Kukavica, Igor
1992
Zero viscosity limit for analytic solutions of the primitive equations. Zbl 1379.35247
Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco
2016
Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing. Zbl 1320.35253
Bradshaw, Zachary; Grujić, Zoran; Kukavica, Igor
2015
Uniform gradient bounds for the primitive equations of the ocean. Zbl 1224.35346
Kukavica, Igor; Ziane, Mohammed
2008
Hausdorff length of level sets for solutions of the Ginzburg-Landau equation. Zbl 0821.35129
Kukavica, Igor
1995
Gevrey regularity for the Navier-Stokes in a half-space. Zbl 1397.35049
Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad
2018
A regularity result for the incompressible Euler equation with a free interface. Zbl 1300.35085
2014
On the 2D free boundary Euler equation. Zbl 1282.35286
2012
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
2010
On the weighted decay for solutions of the Navier-Stokes system. Zbl 1166.35358
Kukavica, Igor
2009
Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem. Zbl 1058.35045
Kukavica, Igor; Robinson, James C.
2004
Length of vorticity nodal sets for solutions of the 2D Navier-Stokes equations. Zbl 1048.35061
Kukavica, Igor
2003
A remark on time-analyticity for the Kuramoto–Sivashinsky equation. Zbl 1020.35095
Grujić, Zoran; Kukavica, Igor
2003
Nodal parametrisation of analytic attractors. Zbl 1153.37439
Friz, Peter K.; Kukavica, Igor; Robinson, James C.
2001
Nodal volumes for eigenfunctions of analytic regular elliptic problems. Zbl 0845.35073
Kukavica, Igor
1995
Oscillations of solutions of the Kuramoto-Sivashinsky equation. Zbl 0824.35114
Kukavica, Igor
1994
An upper bound for the winding number for solutions of the Ginzburg- Landau equation. Zbl 0793.35075
Kukavica, Igor
1992
Existence of invariant measures for the stochastic damped Schrödinger equation. Zbl 1379.60066
Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed
2017
An anisotropic partial regularity criterion for the Navier-Stokes equations. Zbl 06731854
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2017
On the local existence of the free-surface Euler equation with surface tension. Zbl 1356.35167
Ignatova, Mihaela; Kukavica, Igor
2016
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
2016
Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces. Zbl 1334.35103
Kukavica, Igor; Wang, Fei; Ziane, Mohammed
2016
A class of solutions of the Navier-Stokes equations with large data. Zbl 1290.35186
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2013
Partial regularity results for solutions of the Navier-Stokes system. Zbl 1185.35169
Kukavica, Igor
2009
Self-similar variables and the complex Ginzburg-Landau equation. Zbl 0927.35106
Kukavica, Igor
1999
Localization of attractors by their analytic properties. Zbl 0905.34048
Foias, C.; Jolly, M. S.; Kukavica, I.
1996
Local existence of solutions to the free boundary value problem for the primitive equations of the ocean. Zbl 1278.76011
Ignatova, Mihaela; Kukavica, Igor; Ziane, Mohammed
2012
Pressure integrability conditions for uniqueness of mild solutions of the Navier–Stokes system. Zbl 1105.35080
Kukavica, Igor
2006
Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation. Zbl 0963.35007
Kukavica, Igor
2000
On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations. Zbl 0744.35033
Kukavica, Igor
1991
The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. Zbl 1437.35539
Kukavica, Igor; Vicol, Vlad; Wang, Fei
2020
Quantitative unique continuation for a parabolic equation. Zbl 1402.35134
Camliyurt, Guher; Kukavica, Igor
2018
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity. Zbl 1343.35047
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
2016
Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140
Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2014
A class of large $$BMO^{-1}$$ non-oscillatory data for the Navier-Stokes equations. Zbl 1291.35188
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2014
Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients. Zbl 1211.35061
Ignatova, Mihaela; Kukavica, Igor
2010
On local uniqueness of weak solutions to the Navier-Stokes system with $$\mathrm{BMO}^{-1}$$ initial datum. Zbl 1148.35064
2008
Backward uniqueness for solutions of linear parabolic equations. Zbl 1039.35049
Kukavica, Igor
2004
Level sets for the stationary solutions of the Ginzburg-Landau equation. Zbl 0884.35018
Kukavica, Igor
1997
An absence of a certain class of periodic solutions in the Navier-Stokes equations. Zbl 0795.35005
Kukavica, Igor
1994
A Lagrangian interior regularity result for the incompressible free boundary Euler equation with surface tension. Zbl 1423.35464
Disconzi, Marcelo M.; Kukavica, Igor; Tuffaha, Amjad
2019
A priori estimates for the free-boundary Euler equations with surface tension in three dimensions. Zbl 1421.35260
Disconzi, Marcelo M.; Kukavica, Igor
2019
A direct approach to Gevrey regularity on the half-space. Zbl 1405.35013
2018
Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005
Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T.
2018
A local asymptotic expansion for a solution of the Stokes system. Zbl 1351.76021
Çamliyurt, Güher; Kukavica, Igor
2016
On the ill-posedness of active scalar equations with odd singular kernels. Zbl 1348.35303
Kukavica, Igor; Vicol, Vlad; Wang, Fei
2016
Moments for strong solutions of the 2D stochastic Navier-Stokes equations in a bounded domain. Zbl 1323.35231
2014
Sharp trace regularity for an anisotropic elasticity system. Zbl 1272.35061
Kukavica, Igor; Mazzucato, Anna L.; Tuffaha, Amjad
2013
The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. Zbl 1437.35539
Kukavica, Igor; Vicol, Vlad; Wang, Fei
2020
A Lagrangian interior regularity result for the incompressible free boundary Euler equation with surface tension. Zbl 1423.35464
Disconzi, Marcelo M.; Kukavica, Igor; Tuffaha, Amjad
2019
A priori estimates for the free-boundary Euler equations with surface tension in three dimensions. Zbl 1421.35260
Disconzi, Marcelo M.; Kukavica, Igor
2019
A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid. Zbl 1423.35463
Disconzi, Marcelo M.; Kukavica, Igor
2019
Gevrey regularity for the Navier-Stokes in a half-space. Zbl 1397.35049
Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad
2018
Quantitative unique continuation for a parabolic equation. Zbl 1402.35134
Camliyurt, Guher; Kukavica, Igor
2018
A direct approach to Gevrey regularity on the half-space. Zbl 1405.35013
2018
Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005
Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T.
2018
Existence of invariant measures for the stochastic damped KdV equation. Zbl 1409.37078
Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed
2018
On the Lagrangian and Eulerian analyticity for the Euler equations. Zbl 1398.76021
Camliyurt, Guher; Kukavica, Igor
2018
On the local existence for the Euler equations with free boundary for compressible and incompressible fluids. Zbl 1392.35206
Disconzi, Marcelo M.; Kukavica, Igor
2018
On the Galerkin approximation and strong norm bounds for the stochastic Navier-Stokes equations with multiplicative noise. Zbl 1424.60077
Kukavica, Igor; Uğurlu, Kerem; Ziane, Mohammed
2018
The van Dommelen and Shen singularity in the Prandtl equations. Zbl 1357.35058
Kukavica, Igor; Vicol, Vlad; Wang, Fei
2017
On the local existence and uniqueness for the 3D Euler equation with a free interface. Zbl 1384.35074
2017
Small data global existence for a fluid-structure model. Zbl 1357.35299
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
2017
Existence of invariant measures for the stochastic damped Schrödinger equation. Zbl 1379.60066
Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed
2017
An anisotropic partial regularity criterion for the Navier-Stokes equations. Zbl 06731854
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2017
Localized anisotropic regularity conditions for the Navier-Stokes equations. Zbl 1379.35213
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2017
Zero viscosity limit for analytic solutions of the primitive equations. Zbl 1379.35247
Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco
2016
On the local existence of the free-surface Euler equation with surface tension. Zbl 1356.35167
Ignatova, Mihaela; Kukavica, Igor
2016
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
2016
Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces. Zbl 1334.35103
Kukavica, Igor; Wang, Fei; Ziane, Mohammed
2016
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity. Zbl 1343.35047
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
2016
A local asymptotic expansion for a solution of the Stokes system. Zbl 1351.76021
Çamliyurt, Güher; Kukavica, Igor
2016
On the ill-posedness of active scalar equations with odd singular kernels. Zbl 1348.35303
Kukavica, Igor; Vicol, Vlad; Wang, Fei
2016
Boussinesq equations with zero viscosity or zero diffusivity: a review. Zbl 1362.35231
Hu, Weiwei; Kukavica, Igor; Wang, Fei; Ziane, Mohammed
2016
On the existence for the free interface 2D Euler equation with a localized vorticity condition. Zbl 1351.35118
2016
Preface: In memory of A. V. Balakrishnan. Zbl 1341.01041
Bensoussan, Alain (ed.); Kukavica, Igor (ed.); Lasiecka, Irena (ed.); Mitter, Sanjoy (ed.); Temam, Roger (ed.); Triggiani, Roberto (ed.)
2016
On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
2015
Persistence of regularity for the viscous Boussinesq equations with zero diffusivity. Zbl 1319.35192
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
2015
The primitive equations of the atmosphere in presence of vapour saturation. Zbl 1308.35233
Zelati, Michele Coti; Huang, Aimin; Kukavica, Igor; Temam, Roger; Ziane, Mohammed
2015
Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing. Zbl 1320.35253
Bradshaw, Zachary; Grujić, Zoran; Kukavica, Igor
2015
Weighted decay for the surface quasi-geostrophic equation. Zbl 1332.35362
Kukavica, Igor; Wang, Fei
2015
On the local existence for an active scalar equation. Zbl 1311.35196
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
2015
On the local well-posedness of the Prandtl and hydrostatic Euler equations with multiple monotonicity regions. Zbl 1317.35202
2014
On well-posedness and small data global existence for an interface damped free boundary fluid-structure model. Zbl 1286.35272
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
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
2014
Primitive equations with continuous initial data. Zbl 1291.35187
Kukavica, Igor; Pei, Yuan; Rusin, Walter; Ziane, Mohammed
2014
The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
2014
A regularity result for the incompressible Euler equation with a free interface. Zbl 1300.35085
2014
Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140
Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2014
A class of large $$BMO^{-1}$$ non-oscillatory data for the Navier-Stokes equations. Zbl 1291.35188
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2014
Moments for strong solutions of the 2D stochastic Navier-Stokes equations in a bounded domain. Zbl 1323.35231
2014
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
2013
On the regularity for the Boussinesq equations in a bounded domain. Zbl 1293.35246
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
2013
A class of solutions of the Navier-Stokes equations with large data. Zbl 1290.35186
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2013
Sharp trace regularity for an anisotropic elasticity system. Zbl 1272.35061
Kukavica, Igor; Mazzucato, Anna L.; Tuffaha, Amjad
2013
Solutions of the Navier-Stokes equations for large oscillatory data. Zbl 1264.35165
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2013
Strong unique continuation for the Navier-Stokes equation with non-analytic forcing. Zbl 1307.35195
Ignatova, Mihaela; Kukavica, Igor
2013
Solutions to a fluid-structure interaction free boundary problem. Zbl 1234.35320
2012
Solutions to a free boundary problem of fluid-structure interaction. Zbl 1280.35094
2012
Well-posedness for the compressible Navier-Stokes-Lamé system with a free interface. Zbl 1256.35213
2012
On well-posedness for a free boundary fluid-structure model. Zbl 06245454
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
2012
An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1247.35094
Kukavica, Igor; Pei, Yuan
2012
On the 2D free boundary Euler equation. Zbl 1282.35286
2012
Local existence of solutions to the free boundary value problem for the primitive equations of the ocean. Zbl 1278.76011
Ignatova, Mihaela; Kukavica, Igor; Ziane, Mohammed
2012
Strong unique continuation for higher order elliptic equations with Gevrey coefficients. Zbl 1246.35055
Ignatova, Mihaela; Kukavica, Igor
2012
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
2011
On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations. Zbl 1213.35345
2011
The domain of analyticity of solutions to the three-dimensional Euler equations in a half space. Zbl 1308.35192
2011
Strong solutions to a Navier-Stokes-Lamé system on a domain with a non-flat boundary. Zbl 1372.76029
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
2011
Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. Zbl 1205.35200
Kukavica, Igor; Reis, Ednei
2011
Partial regularity for the Navier-Stokes equations with a force in a Morrey space. Zbl 1205.35199
Kukavica, Igor
2011
Strong solutions for a fluid structure interaction system. Zbl 1191.35206
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
2010
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
2010
Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients. Zbl 1211.35061
Ignatova, Mihaela; Kukavica, Igor
2010
On regularity for the Navier-Stokes equations in Morrey spaces. Zbl 1186.35143
Kukavica, Igor
2010
On the radius of analyticity of solutions to the three-dimensional Euler equations. Zbl 1156.76010
2009
The fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1181.35173
Kukavica, Igor
2009
Strong solutions to a nonlinear fluid structure interaction system. Zbl 1180.35415
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
2009
On the weighted decay for solutions of the Navier-Stokes system. Zbl 1166.35358
Kukavica, Igor
2009
Partial regularity results for solutions of the Navier-Stokes system. Zbl 1185.35169
Kukavica, Igor
2009
On partial regularity for the Navier-Stokes equations. Zbl 1147.35071
Kukavica, Igor
2008
Regularity for the Navier-Stokes equations with a solution in a Morrey space. Zbl 1159.35056
Kukavica, Igor
2008
Uniform gradient bounds for the primitive equations of the ocean. Zbl 1224.35346
Kukavica, Igor; Ziane, Mohammed
2008
On local uniqueness of weak solutions to the Navier-Stokes system with $$\mathrm{BMO}^{-1}$$ initial datum. Zbl 1148.35064
2008
Navier-Stokes equations with regularity in one direction. Zbl 1144.81373
Kukavica, Igor; Ziane, Mohammed
2007
On the regularity of the primitive equations of the ocean. Zbl 1136.35069
Kukavica, Igor; Ziane, Mohammed
2007
The regularity of solutions of the primitive equations of the ocean in space dimension three. Zbl 1174.35097
Kukavica, Igor; Ziane, Mohammed
2007
Weighted $$L^{p}$$ decay for solutions of the Navier-Stokes equations. Zbl 1121.35101
Kukavica, Igor; Torres, J. J.
2007
On the regularity of the Navier-Stokes equation in a thin periodic domain. Zbl 1118.35029
Kukavica, Igor; Ziane, Mohammed
2007
Log-log convexity and backward uniqueness. Zbl 1119.35007
Kukavica, Igor
2007
One component regularity for the Navier-Stokes equations. Zbl 1149.35069
Kukavica, Igor; Ziane, Mohammed
2006
Regularity of the Navier-Stokes equation in a thin periodic domain with large data. Zbl 1115.35098
Kukavica, Igor; Ziane, Mohammed
2006
Weighted bounds for the velocity and the vorticity for the Navier-Stokes equations. Zbl 1106.35052
Kukavica, Igor; Torres, J. J.
2006
Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation. Zbl 1105.35081
Kukavica, Igor
2006
Pressure integrability conditions for uniqueness of mild solutions of the Navier–Stokes system. Zbl 1105.35080
Kukavica, Igor
2006
Backward behavior of solutions of the Kuramoto-Sivashinsky equation. Zbl 1080.35121
Kukavica, Igor; Malcok, Mehmet
2005
Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem. Zbl 1058.35045
Kukavica, Igor; Robinson, James C.
2004
Backward uniqueness for solutions of linear parabolic equations. Zbl 1039.35049
Kukavica, Igor
2004
Spatial complexity of solutions of higher order partial differential equations. Zbl 1052.35071
Kukavica, Igor
2004
On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data. Zbl 1050.35070
Kukavica, Igor
2003
Length of vorticity nodal sets for solutions of the 2D Navier-Stokes equations. Zbl 1048.35061
Kukavica, Igor
2003
A remark on time-analyticity for the Kuramoto–Sivashinsky equation. Zbl 1020.35095
Grujić, Zoran; Kukavica, Igor
2003
Fourier parameterization of attractors for dissipative equations in one space dimension. Zbl 1041.35018
Kukavica, Igor
2003
Space-time decay for solutions of the Navier-Stokes equations. Zbl 1006.35078
Kukavica, Igor
2001
The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012
Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S.
2001
Nodal parametrisation of analytic attractors. Zbl 1153.37439
Friz, Peter K.; Kukavica, Igor; Robinson, James C.
2001
Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation. Zbl 0963.35007
Kukavica, Igor
2000
A ladder inequality for the Navier-Stokes equation. Zbl 0966.76017
Kukavica, Igor
2000
...and 20 more Documents
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#### 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
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#### 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. Analyse Non Linéaire 12 Communications in Partial Differential Equations 12 Communications on Pure and Applied Analysis 11 Nonlinearity 10 Applied Mathematics and Optimization 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Discrete and Continuous Dynamical Systems 8 Evolution Equations and Control Theory 7 Advances in Mathematics 7 Acta Applicandae Mathematicae 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Journal of Nonlinear Science 7 Discrete and Continuous Dynamical Systems. Series B 6 Transactions of the American Mathematical Society 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Chinese Annals of Mathematics. Series B 5 Calculus of Variations and Partial Differential Equations 4 Indiana University Mathematics Journal 4 Journal of Computational and Applied Mathematics 4 NoDEA. Nonlinear Differential Equations and Applications 4 Discrete and Continuous Dynamical Systems. Series S 4 Science China. Mathematics 3 Communications on Pure and Applied Mathematics 3 Journal of Fluid Mechanics 3 Numerical Functional Analysis and Optimization 3 Revista Matemática Iberoamericana 3 Physics of Fluids 3 Journal of Evolution Equations 3 Boundary Value Problems 3 Journal of Function Spaces 3 Annals of PDE 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Journal of Statistical Physics 2 Annales Polonici Mathematici 2 Applied Mathematics and Computation 2 Duke Mathematical Journal 2 Publications Mathématiques 2 Journal of Optimization Theory and Applications 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Ricerche di Matematica 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Asymptotic Analysis 2 Applications of Mathematics 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Potential Analysis 2 SIAM Journal on Scientific Computing 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Journal of Applied Mathematics 2 Stochastics and Dynamics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Analysis and Applications (Singapore) 2 Kinetic and Related Models 2 Mathematical Control and Related Fields 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Journal of Computational Physics 1 Mathematical Notes 1 Physica A 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Integral Equations and Operator Theory 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Semigroup Forum 1 Ergodic Theory and Dynamical Systems 1 Statistics & Probability Letters 1 Applied Mathematics and Mechanics. (English Edition) ...and 41 more Serials
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#### 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)

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