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Author ID: kukavica.igor Recent zbMATH articles by "Kukavica, Igor"
Published as: Kukavica, Igor; Kukavica, I.
Homepage: http://bcf.usc.edu/~kukavica/pdf/index.html
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all top 5

Serials

19 Nonlinearity
14 Journal of Differential Equations
10 Discrete and Continuous Dynamical Systems
9 Journal of Dynamics and Differential Equations
8 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 Journal of Mathematical Fluid Mechanics
4 Communications in Mathematical Sciences
3 Archive for Rational Mechanics and Analysis
3 Journal of Mathematical Analysis and Applications
3 Physica D
3 Evolution Equations and Control Theory
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Differential and Integral Equations
2 SIAM Journal on Mathematical Analysis
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 Pure and Applied Functional 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 Applied Mathematics Letters
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

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 1,639 times in 898 Documents Cited by Year
Navier-Stokes equations with regularity in one direction. Zbl 1144.81373
Kukavica, Igor; Ziane, Mohammed
95
2007
One component regularity for the Navier-Stokes equations. Zbl 1149.35069
Kukavica, Igor; Ziane, Mohammed
91
2006
On the regularity of the primitive equations of the ocean. Zbl 1136.35069
Kukavica, Igor; Ziane, Mohammed
70
2007
Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\). Zbl 0896.35105
Grujić, Zoran; Kukavica, Igor
60
1998
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
Kukavica, Igor; Vicol, Vlad
49
2013
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
46
2014
Quantitative uniqueness for second-order elliptic operators. Zbl 0947.35045
Kukavica, Igor
43
1998
On the radius of analyticity of solutions to the three-dimensional Euler equations. Zbl 1156.76010
Kukavica, Igor; Vicol, Vlad
42
2009
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
34
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
30
2011
On the regularity for the Boussinesq equations in a bounded domain. Zbl 1293.35246
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
27
2013
On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
26
2015
On partial regularity for the Navier-Stokes equations. Zbl 1147.35071
Kukavica, Igor
26
2008
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
26
2014
Solutions to a fluid-structure interaction free boundary problem. Zbl 1234.35320
Kukavica, Igor; Tuffaha, Amjad
25
2012
The van Dommelen and Shen singularity in the Prandtl equations. Zbl 1357.35058
Kukavica, Igor; Vicol, Vlad; Wang, Fei
23
2017
Persistence of regularity for the viscous Boussinesq equations with zero diffusivity. Zbl 1319.35192
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
23
2015
On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations. Zbl 1213.35345
Kukavica, Igor; Vicol, Vlad
22
2011
Solutions to a free boundary problem of fluid-structure interaction. Zbl 1280.35094
Kukavica, Igor; Tuffaha, Amjad
22
2012
Determining nodes for the Kuramoto-Sivashinsky equation. Zbl 0835.35067
Foias, Ciprian; Kukavica, Igor
21
1995
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
20
2015
The regularity of solutions of the primitive equations of the ocean in space dimension three. Zbl 1174.35097
Kukavica, Igor; Ziane, Mohammed
20
2007
The domain of analyticity of solutions to the three-dimensional Euler equations in a half space. Zbl 1308.35192
Kukavica, Igor; Vicol, Vlad C.
20
2011
The fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1181.35173
Kukavica, Igor
19
2009
Unique continuation on the boundary for Dini domains. Zbl 0891.31006
Kukavica, Igor; Nyström, Kaj
19
1998
On the number of determining nodes for the Ginzburg-Landau equation. Zbl 0758.34014
Kukavica, Igor
19
1992
Strong solutions for a fluid structure interaction system. Zbl 1191.35206
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
19
2010
On well-posedness for a free boundary fluid-structure model. Zbl 1457.35095
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
19
2012
Primitive equations with continuous initial data. Zbl 1291.35187
Kukavica, Igor; Pei, Yuan; Rusin, Walter; Ziane, Mohammed
19
2014
On the dissipative scale for the Navier-Stokes equation. Zbl 0937.35126
Kukavica, Igor
18
1999
Regularity of the Navier-Stokes equation in a thin periodic domain with large data. Zbl 1115.35098
Kukavica, Igor; Ziane, Mohammed
18
2006
Weighted \(L^{p}\) decay for solutions of the Navier-Stokes equations. Zbl 1121.35101
Kukavica, Igor; Torres, J. J.
18
2007
Well-posedness for the compressible Navier-Stokes-Lamé system with a free interface. Zbl 1256.35213
Kukavica, Igor; Tuffaha, Amjad
17
2012
Level sets of the vorticity and the stream function for the 2D periodic Navier-Stokes equations with potential forces. Zbl 0847.35103
Kukavica, Igor
16
1996
Space-time decay for solutions of the Navier-Stokes equations. Zbl 1006.35078
Kukavica, Igor
16
2001
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
16
2011
Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085
Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J.
15
1997
Strong solutions to a nonlinear fluid structure interaction system. Zbl 1180.35415
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
15
2009
Weighted bounds for the velocity and the vorticity for the Navier-Stokes equations. Zbl 1106.35052
Kukavica, Igor; Torres, J. J.
15
2006
On the regularity of the Navier-Stokes equation in a thin periodic domain. Zbl 1118.35029
Kukavica, Igor; Ziane, Mohammed
14
2007
Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. Zbl 1205.35200
Kukavica, Igor; Reis, Ednei
13
2011
Space analyticity for the nonlinear heat equation in a bounded domain. Zbl 0926.35026
Grujić, Zoran; Kukavica, Igor
13
1999
Small data global existence for a fluid-structure model. Zbl 1357.35299
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
13
2017
Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing. Zbl 1320.35253
Bradshaw, Zachary; Grujić, Zoran; Kukavica, Igor
12
2015
Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140
Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
12
2014
Regularity for the Navier-Stokes equations with a solution in a Morrey space. Zbl 1159.35056
Kukavica, Igor
11
2008
On the weighted decay for solutions of the Navier-Stokes system. Zbl 1166.35358
Kukavica, Igor
11
2009
On the local existence and uniqueness for the 3D Euler equation with a free interface. Zbl 1384.35074
Kukavica, Igor; Tuffaha, Amjad; Vicol, Vlad
11
2017
Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation. Zbl 1105.35081
Kukavica, Igor
11
2006
On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data. Zbl 1050.35070
Kukavica, Igor
10
2003
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
10
2012
Zero viscosity limit for analytic solutions of the primitive equations. Zbl 1379.35247
Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco
10
2016
Log-log convexity and backward uniqueness. Zbl 1119.35007
Kukavica, Igor
10
2007
The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012
Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S.
9
2001
Existence of invariant measures for the stochastic damped Schrödinger equation. Zbl 1379.60066
Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed
9
2017
The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
9
2014
Gevrey regularity for the Navier-Stokes in a half-space. Zbl 1397.35049
Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad
9
2018
Partial regularity results for solutions of the Navier-Stokes system. Zbl 1185.35169
Kukavica, Igor
8
2009
Nodal parametrisation of analytic attractors. Zbl 1153.37439
Friz, Peter K.; Kukavica, Igor; Robinson, James C.
8
2001
Nodal volumes for eigenfunctions of analytic regular elliptic problems. Zbl 0845.35073
Kukavica, Igor
8
1995
Backward behavior of solutions of the Kuramoto-Sivashinsky equation. Zbl 1080.35121
Kukavica, Igor; Malcok, Mehmet
8
2005
On the behavior of the solutions of the Kuramoto-Sivashinsky equation for negative time. Zbl 0788.35118
Kukavica, Igor
8
1992
Uniform gradient bounds for the primitive equations of the ocean. Zbl 1224.35346
Kukavica, Igor; Ziane, Mohammed
8
2008
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
8
2016
On local uniqueness of weak solutions to the Navier-Stokes system with \(\mathrm{BMO}^{-1}\) initial datum. Zbl 1148.35064
Kukavica, Igor; Vicol, Vlad
8
2008
The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. Zbl 1437.35539
Kukavica, Igor; Vicol, Vlad; Wang, Fei
8
2020
Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005
Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T.
7
2018
Hausdorff length of level sets for solutions of the Ginzburg-Landau equation. Zbl 0821.35129
Kukavica, Igor
7
1995
A remark on time-analyticity for the Kuramoto–Sivashinsky equation. Zbl 1020.35095
Grujić, Zoran; Kukavica, Igor
7
2003
Localized anisotropic regularity conditions for the Navier-Stokes equations. Zbl 1379.35213
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
7
2017
An anisotropic partial regularity criterion for the Navier-Stokes equations. Zbl 1457.76055
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
7
2017
Oscillations of solutions of the Kuramoto-Sivashinsky equation. Zbl 0824.35114
Kukavica, Igor
6
1994
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.
6
2004
Length of vorticity nodal sets for solutions of the 2D Navier-Stokes equations. Zbl 1048.35061
Kukavica, Igor
6
2003
An upper bound for the winding number for solutions of the Ginzburg- Landau equation. Zbl 0793.35075
Kukavica, Igor
6
1992
Partial regularity for the Navier-Stokes equations with a force in a Morrey space. Zbl 1205.35199
Kukavica, Igor
6
2011
On the 2D free boundary Euler equation. Zbl 1282.35286
Kukavica, Igor; Tuffaha, Amjad
6
2012
On the local existence of the free-surface Euler equation with surface tension. Zbl 1356.35167
Ignatova, Mihaela; Kukavica, Igor
6
2016
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
6
2010
Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces. Zbl 1334.35103
Kukavica, Igor; Wang, Fei; Ziane, Mohammed
6
2016
A regularity result for the incompressible Euler equation with a free interface. Zbl 1300.35085
Kukavica, Igor; Tuffaha, Amjad
6
2014
A class of solutions of the Navier-Stokes equations with large data. Zbl 1290.35186
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
6
2013
Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity. Zbl 1452.35039
Kukavica, Igor; Wang, Weinan
6
2020
Fourier parameterization of attractors for dissipative equations in one space dimension. Zbl 1041.35018
Kukavica, Igor
5
2003
Self-similar variables and the complex Ginzburg-Landau equation. Zbl 0927.35106
Kukavica, Igor
5
1999
On the ill-posedness of active scalar equations with odd singular kernels. Zbl 1348.35303
Kukavica, Igor; Vicol, Vlad; Wang, Fei
5
2016
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
5
2012
Pressure integrability conditions for uniqueness of mild solutions of the Navier–Stokes system. Zbl 1105.35080
Kukavica, Igor
5
2006
Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data. Zbl 1436.35273
Bradshaw, Zachary; Kukavica, Igor
4
2020
Analyticity up to the boundary for the Stokes and the Navier-Stokes systems. Zbl 1437.35568
Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad
4
2020
Quantitative, uniqueness, and vortex degree estimates for solutions of the Ginzburg-Landau equation. Zbl 0963.35007
Kukavica, Igor
4
2000
On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations. Zbl 0744.35033
Kukavica, Igor
4
1991
Strong unique continuation for the Navier-Stokes equation with non-analytic forcing. Zbl 1307.35195
Ignatova, Mihaela; Kukavica, Igor
4
2013
Localization of attractors by their analytic properties. Zbl 0905.34048
Foias, C.; Jolly, M. S.; Kukavica, I.
4
1996
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity. Zbl 1343.35047
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
4
2016
On the local existence for an active scalar equation. (Sur l’existence locale pour une équation de scalaires actifs.) Zbl 1311.35196
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
4
2015
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
4
2019
Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity. Zbl 1460.35290
Kukavica, Igor; Wang, Weinan
3
2020
An absence of a certain class of periodic solutions in the Navier-Stokes equations. Zbl 0795.35005
Kukavica, Igor
3
1994
Level sets for the stationary solutions of the Ginzburg-Landau equation. Zbl 0884.35018
Kukavica, Igor
3
1997
Existence of global weak solutions to the Navier-Stokes equations in weighted spaces. Zbl 07509435
Bradshaw, Zachary; Kukavica, Igor; Tsai, Tai-Peng
1
2022
An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range. Zbl 1490.35253
Kukavica, I.; Ożański, W. S.
1
2021
Mach limits in analytic spaces. Zbl 1476.35188
Jang, Juhi; Kukavica, Igor; Li, Linfeng
1
2021
The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. Zbl 1437.35539
Kukavica, Igor; Vicol, Vlad; Wang, Fei
8
2020
Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity. Zbl 1452.35039
Kukavica, Igor; Wang, Weinan
6
2020
Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data. Zbl 1436.35273
Bradshaw, Zachary; Kukavica, Igor
4
2020
Analyticity up to the boundary for the Stokes and the Navier-Stokes systems. Zbl 1437.35568
Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad
4
2020
Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity. Zbl 1460.35290
Kukavica, Igor; Wang, Weinan
3
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
4
2019
A priori estimates for the free-boundary Euler equations with surface tension in three dimensions. Zbl 1421.35260
Disconzi, Marcelo M.; Kukavica, Igor
3
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
3
2019
On local regularity conditions for the Navier-Stokes equations. Zbl 1416.35188
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2
2019
Gevrey regularity for the Navier-Stokes in a half-space. Zbl 1397.35049
Camliyurt, Guher; Kukavica, Igor; Vicol, Vlad
9
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.
7
2018
Quantitative unique continuation for a parabolic equation. Zbl 1402.35134
Camliyurt, Guher; Kukavica, Igor
3
2018
Existence of invariant measures for the stochastic damped KdV equation. Zbl 1409.37078
Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed
3
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
2
2018
On the Lagrangian and Eulerian analyticity for the Euler equations. Zbl 1398.76021
Camliyurt, Guher; Kukavica, Igor
2
2018
A direct approach to Gevrey regularity on the half-space. Zbl 1405.35013
Kukavica, Igor; Vicol, Vlad
2
2018
On the local existence for the Euler equations with free boundary for compressible and incompressible fluids. (Sur l’existence locale de solutions des équations d’Euler pour les fluides compressibles et incompressibles, avec frontière libre.) Zbl 1392.35206
Disconzi, Marcelo M.; Kukavica, Igor
1
2018
The van Dommelen and Shen singularity in the Prandtl equations. Zbl 1357.35058
Kukavica, Igor; Vicol, Vlad; Wang, Fei
23
2017
Small data global existence for a fluid-structure model. Zbl 1357.35299
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
13
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
11
2017
Existence of invariant measures for the stochastic damped Schrödinger equation. Zbl 1379.60066
Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed
9
2017
Localized anisotropic regularity conditions for the Navier-Stokes equations. Zbl 1379.35213
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
7
2017
An anisotropic partial regularity criterion for the Navier-Stokes equations. Zbl 1457.76055
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
7
2017
Zero viscosity limit for analytic solutions of the primitive equations. Zbl 1379.35247
Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco
10
2016
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. Zbl 1353.35233
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
8
2016
On the local existence of the free-surface Euler equation with surface tension. Zbl 1356.35167
Ignatova, Mihaela; Kukavica, Igor
6
2016
Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces. Zbl 1334.35103
Kukavica, Igor; Wang, Fei; Ziane, Mohammed
6
2016
On the ill-posedness of active scalar equations with odd singular kernels. Zbl 1348.35303
Kukavica, Igor; Vicol, Vlad; Wang, Fei
5
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
4
2016
A local asymptotic expansion for a solution of the Stokes system. Zbl 1351.76021
Çamliyurt, Güher; Kukavica, Igor
2
2016
Preface: In memory of A. V. Balakrishnan. Zbl 1341.01041
1
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
1
2016
Boussinesq equations with zero viscosity or zero diffusivity: a review. Zbl 1362.35231
Hu, Weiwei; Kukavica, Igor; Wang, Fei; Ziane, Mohammed
1
2016
On the inviscid limit of the Navier-Stokes equations. Zbl 1309.35073
Constantin, Peter; Kukavica, Igor; Vicol, Vlad
26
2015
Persistence of regularity for the viscous Boussinesq equations with zero diffusivity. Zbl 1319.35192
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
23
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
20
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
12
2015
On the local existence for an active scalar equation. (Sur l’existence locale pour une équation de scalaires actifs.) Zbl 1311.35196
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
4
2015
Weighted decay for the surface quasi-geostrophic equation. Zbl 1332.35362
Kukavica, Igor; Wang, Fei
1
2015
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
46
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
34
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
26
2014
Primitive equations with continuous initial data. Zbl 1291.35187
Kukavica, Igor; Pei, Yuan; Rusin, Walter; Ziane, Mohammed
19
2014
Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation. Zbl 1342.35140
Benachour, Said; Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
12
2014
The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
9
2014
A regularity result for the incompressible Euler equation with a free interface. Zbl 1300.35085
Kukavica, Igor; Tuffaha, Amjad
6
2014
A class of large \(BMO^{-1}\) non-oscillatory data for the Navier-Stokes equations. Zbl 1291.35188
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
3
2014
Moments for strong solutions of the 2D stochastic Navier-Stokes equations in a bounded domain. Zbl 1323.35231
Kukavica, Igor; Vicol, Vlad
2
2014
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
Kukavica, Igor; Vicol, Vlad
49
2013
On the regularity for the Boussinesq equations in a bounded domain. Zbl 1293.35246
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed
27
2013
A class of solutions of the Navier-Stokes equations with large data. Zbl 1290.35186
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
6
2013
Strong unique continuation for the Navier-Stokes equation with non-analytic forcing. Zbl 1307.35195
Ignatova, Mihaela; Kukavica, Igor
4
2013
Solutions of the Navier-Stokes equations for large oscillatory data. Zbl 1264.35165
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed
2
2013
Sharp trace regularity for an anisotropic elasticity system. Zbl 1272.35061
Kukavica, Igor; Mazzucato, Anna L.; Tuffaha, Amjad
2
2013
Solutions to a fluid-structure interaction free boundary problem. Zbl 1234.35320
Kukavica, Igor; Tuffaha, Amjad
25
2012
Solutions to a free boundary problem of fluid-structure interaction. Zbl 1280.35094
Kukavica, Igor; Tuffaha, Amjad
22
2012
On well-posedness for a free boundary fluid-structure model. Zbl 1457.35095
Ignatova, Mihaela; Kukavica, Igor; Lasiecka, Irena; Tuffaha, Amjad
19
2012
Well-posedness for the compressible Navier-Stokes-Lamé system with a free interface. Zbl 1256.35213
Kukavica, Igor; Tuffaha, Amjad
17
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
10
2012
On the 2D free boundary Euler equation. Zbl 1282.35286
Kukavica, Igor; Tuffaha, Amjad
6
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
5
2012
Strong unique continuation for higher order elliptic equations with Gevrey coefficients. Zbl 1246.35055
Ignatova, Mihaela; Kukavica, Igor
2
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
30
2011
On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations. Zbl 1213.35345
Kukavica, Igor; Vicol, Vlad
22
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.
20
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
16
2011
Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. Zbl 1205.35200
Kukavica, Igor; Reis, Ednei
13
2011
Partial regularity for the Navier-Stokes equations with a force in a Morrey space. Zbl 1205.35199
Kukavica, Igor
6
2011
Strong solutions for a fluid structure interaction system. Zbl 1191.35206
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
19
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
6
2010
Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients. Zbl 1211.35061
Ignatova, Mihaela; Kukavica, Igor
3
2010
On regularity for the Navier-Stokes equations in Morrey spaces. Zbl 1186.35143
Kukavica, Igor
2
2010
On the radius of analyticity of solutions to the three-dimensional Euler equations. Zbl 1156.76010
Kukavica, Igor; Vicol, Vlad
42
2009
The fractal dimension of the singular set for solutions of the Navier-Stokes system. Zbl 1181.35173
Kukavica, Igor
19
2009
Strong solutions to a nonlinear fluid structure interaction system. Zbl 1180.35415
Kukavica, Igor; Tuffaha, Amjad; Ziane, Mohammed
15
2009
On the weighted decay for solutions of the Navier-Stokes system. Zbl 1166.35358
Kukavica, Igor
11
2009
Partial regularity results for solutions of the Navier-Stokes system. Zbl 1185.35169
Kukavica, Igor
8
2009
On partial regularity for the Navier-Stokes equations. Zbl 1147.35071
Kukavica, Igor
26
2008
Regularity for the Navier-Stokes equations with a solution in a Morrey space. Zbl 1159.35056
Kukavica, Igor
11
2008
Uniform gradient bounds for the primitive equations of the ocean. Zbl 1224.35346
Kukavica, Igor; Ziane, Mohammed
8
2008
On local uniqueness of weak solutions to the Navier-Stokes system with \(\mathrm{BMO}^{-1}\) initial datum. Zbl 1148.35064
Kukavica, Igor; Vicol, Vlad
8
2008
Navier-Stokes equations with regularity in one direction. Zbl 1144.81373
Kukavica, Igor; Ziane, Mohammed
95
2007
On the regularity of the primitive equations of the ocean. Zbl 1136.35069
Kukavica, Igor; Ziane, Mohammed
70
2007
The regularity of solutions of the primitive equations of the ocean in space dimension three. Zbl 1174.35097
Kukavica, Igor; Ziane, Mohammed
20
2007
Weighted \(L^{p}\) decay for solutions of the Navier-Stokes equations. Zbl 1121.35101
Kukavica, Igor; Torres, J. J.
18
2007
On the regularity of the Navier-Stokes equation in a thin periodic domain. Zbl 1118.35029
Kukavica, Igor; Ziane, Mohammed
14
2007
Log-log convexity and backward uniqueness. Zbl 1119.35007
Kukavica, Igor
10
2007
One component regularity for the Navier-Stokes equations. Zbl 1149.35069
Kukavica, Igor; Ziane, Mohammed
91
2006
Regularity of the Navier-Stokes equation in a thin periodic domain with large data. Zbl 1115.35098
Kukavica, Igor; Ziane, Mohammed
18
2006
Weighted bounds for the velocity and the vorticity for the Navier-Stokes equations. Zbl 1106.35052
Kukavica, Igor; Torres, J. J.
15
2006
Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation. Zbl 1105.35081
Kukavica, Igor
11
2006
Pressure integrability conditions for uniqueness of mild solutions of the Navier–Stokes system. Zbl 1105.35080
Kukavica, Igor
5
2006
Backward behavior of solutions of the Kuramoto-Sivashinsky equation. Zbl 1080.35121
Kukavica, Igor; Malcok, Mehmet
8
2005
Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem. Zbl 1058.35045
Kukavica, Igor; Robinson, James C.
6
2004
Backward uniqueness for solutions of linear parabolic equations. Zbl 1039.35049
Kukavica, Igor
3
2004
Spatial complexity of solutions of higher order partial differential equations. Zbl 1052.35071
Kukavica, Igor
2
2004
On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data. Zbl 1050.35070
Kukavica, Igor
10
2003
...and 28 more Documents
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Cited by 899 Authors

74 Kukavica, Igor
38 Titi, Edriss Saleh
28 Vicol, Vlad C.
19 Ziane, Mohammed
17 Zhang, Zujin
16 Skalák, Zdeněk
14 Biswas, Animikh
14 Lasiecka, Irena
14 Temam, Roger Meyer
14 Wu, Jiahong
13 Robinson, James Cooper
13 Yamazaki, Kazuo
13 Zhang, Zhifei
12 Masmoudi, Nader
11 Foiaş, Ciprian Ilie
11 Guo, Zhengguang
11 Ignatova, Mihaela
11 Muha, Boris
10 Cao, Chongsheng
10 Constantin, Peter
10 Larios, Adam
10 Li, Jinkai
9 Bradshaw, Zachary
9 Čanić, Sunčica
9 Triggiani, Roberto
9 Tuffaha, Amjad M.
8 Glatt-Holtz, Nathan E.
8 Jolly, Michael S.
8 Martinez, Vincent R.
8 Sammartino, Marco Maria Luigi
8 Wang, Yanqing
7 Felli, Veronica
7 Gala, Sadek
7 Liu, Qiao
7 Mazzucato, Anna L.
7 Qian, Chenyin
7 Yang, Tong
7 Zhang, Ping
7 Zhou, Daoguo
6 Avalos, George
6 Bedrossian, Jacob
6 Çamliyurt, Güher
6 Chamorro, Diego
6 Grujić, Zoran
6 Hieber, Matthias
6 Hoang, Luan Thach
6 Hu, Weiwei
6 Ragusa, Maria Alessandra
6 Rusin, Walter M.
6 Sciacca, Vincenzo
6 Vessella, Sergio
6 Wang, Wendong
6 Wang, Yuxi
6 Zhu, Jiuyi
5 Bociu, Lorena
5 Dong, Boqing
5 Dong, Hongjie
5 Gao, Hongjun
5 Gérard-Varet, David
5 Hussein, Amru
5 Kashiwabara, Takahito
5 Kim, Jaemyoung
5 Lemarié-Rieusset, Pierre Gilles
5 Liu, Cheng-Jie
5 Ożański, Wojciech Sławomir
5 Shvydkoy, Roman V.
5 Tautenhahn, Martin
5 Toundykov, Daniel
5 Wang, Fei
5 Xie, Feng
5 Yang, Minsuk
5 Zhang, Ting
5 Zhao, Kun
5 Zhao, Xiaopeng
5 Zhou, Yong
4 Bae, Hyeong-Ohk
4 Brandolese, Lorenzo
4 Chueshov, Igor’ Dmitrievich
4 Disconzi, Marcelo Mendes
4 Gargano, Francesco
4 He, Yinnian
4 Himonas, A. Alexandrou
4 Huang, Jianhua
4 Ibrahim, Slim
4 Iyer, Sameer
4 Ju, Ning
4 Lin, Quyuan
4 Lu, Yongjin
4 Luo, Chenyun
4 Maekawa, Yasunori
4 Miller, Evan
4 Nguyen, Toan Trong
4 Pokorný, Milan
4 Qin, Yuming
4 Rosset, Edi
4 Su, Xing
4 Sun, Chengfeng
4 Tsai, Tai-Peng
4 Wang, Jenn-Nan
4 Wang, Weinan
...and 799 more Authors
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Cited in 182 Serials

80 Journal of Differential Equations
46 Journal of Mathematical Fluid Mechanics
45 Journal of Mathematical Analysis and Applications
44 Archive for Rational Mechanics and Analysis
30 SIAM Journal on Mathematical Analysis
29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
24 Physica D
22 Communications in Mathematical Physics
22 Journal of Mathematical Physics
18 Communications on Pure and Applied Analysis
17 Applied Mathematics Letters
17 Nonlinear Analysis. Real World Applications
16 Nonlinearity
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Journal of Functional Analysis
16 Communications in Partial Differential Equations
15 Discrete and Continuous Dynamical Systems
14 Proceedings of the American Mathematical Society
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Journal of Dynamics and Differential Equations
14 Journal of Nonlinear Science
13 Applied Mathematics and Optimization
12 Discrete and Continuous Dynamical Systems. Series B
11 Advances in Mathematics
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Evolution Equations and Control Theory
9 Transactions of the American Mathematical Society
8 Applicable Analysis
8 Acta Applicandae Mathematicae
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Calculus of Variations and Partial Differential Equations
7 Journal of Evolution Equations
7 Discrete and Continuous Dynamical Systems. Series S
5 Journal of Fluid Mechanics
5 Mathematical Methods in the Applied Sciences
5 Indiana University Mathematics Journal
5 Mathematische Annalen
5 Chinese Annals of Mathematics. Series B
5 Annals of PDE
4 Journal of Computational and Applied Mathematics
4 NoDEA. Nonlinear Differential Equations and Applications
4 Boundary Value Problems
4 Science China. Mathematics
3 Communications on Pure and Applied Mathematics
3 Numerical Functional Analysis and Optimization
3 Revista Matemática Iberoamericana
3 Asymptotic Analysis
3 Geometric and Functional Analysis. GAFA
3 Physics of Fluids
3 SIAM Journal on Applied Dynamical Systems
3 Stochastic and Partial Differential Equations. Analysis and Computations
3 Journal of Function Spaces
3 Journal of Elliptic and Parabolic Equations
3 Proceedings of the American Mathematical Society. Series B
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 Archiv der Mathematik
2 Duke Mathematical Journal
2 Publications Mathématiques
2 Journal of Optimization Theory and Applications
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
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 The Journal of Geometric Analysis
2 Applications of Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Potential Analysis
2 SIAM Journal on Scientific Computing
2 Advances in Differential Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Abstract and Applied Analysis
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Sinica. English Series
2 Journal of Applied Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Stochastics and Dynamics
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Analysis and Applications (Singapore)
2 Advances in Difference Equations
2 Complex Variables and Elliptic Equations
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Kinetic and Related Models
2 Bulletin of Mathematical Sciences
2 Mathematical Control and Related Fields
2 Séminaire Laurent Schwartz. EDP et Applications
2 AIMS Mathematics
2 Electronic Research Archive
2 SN Partial Differential Equations and Applications
1 Acta Mechanica
1 Computers and Fluids
...and 82 more Serials
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Cited in 38 Fields

825 Partial differential equations (35-XX)
571 Fluid mechanics (76-XX)
88 Geophysics (86-XX)
61 Dynamical systems and ergodic theory (37-XX)
59 Mechanics of deformable solids (74-XX)
42 Probability theory and stochastic processes (60-XX)
32 Systems theory; control (93-XX)
31 Numerical analysis (65-XX)
28 Ordinary differential equations (34-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
17 Operator theory (47-XX)
11 Functional analysis (46-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 Classical thermodynamics, heat transfer (80-XX)
10 Biology and other natural sciences (92-XX)
7 Real functions (26-XX)
7 Potential theory (31-XX)
6 Measure and integration (28-XX)
5 Functions of a complex variable (30-XX)
5 Integral equations (45-XX)
4 Differential geometry (53-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Statistics (62-XX)
3 Optics, electromagnetic theory (78-XX)
3 Quantum theory (81-XX)
2 General topology (54-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 Difference and functional equations (39-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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