I. Kukavica

发表

Space Analyticity for the Navier–Stokes and Related Equations with Initial Data inLp

Igor Kukavica, Zoran Grujić, Z. Grujic, 1998 .

On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations

Igor Kukavica, Vlad Vicol, I. Kukavica, 2010, 1007.2012.

On the local existence of analytic solutions to the Prandtl boundary layer equations

Igor Kukavica, Vlad Vicol, I. Kukavica, 2013 .

Strong solutions to a nonlinear fluid structure interaction system

Igor Kukavica, Amjad Tuffaha, Mohammed Ziane, 2009 .

Regularity of the Navier-Stokes equation in a thin periodic domain with large data

Igor Kukavica, Mohammed Ziane, I. Kukavica, 2006 .

Weighted decay for the surface quasi-geostrophic equation

Fei Wang, I. Kukavica, 2015 .

On quantitative uniqueness for elliptic equations

Fei Wang, I. Kukavica, Guher Camliyurt, 2018, Mathematische Zeitschrift.

Quantitative unique continuation for a parabolic equation

I. Kukavica, Guher Camliyurt, 2017, 1711.06730.

Unique continuation on the boundary for Dini domains

K. Nyström, I. Kukavica, 1998 .

Level sets for the stationary solutions of the Ginzburg-Landau equation

I. Kukavica, 1997 .

On well-posedness for a free boundary fluid-structure model

Igor Kukavica, Amjad Tuffaha, Irena Lasiecka, 2012 .

Spatial complexity of solutions of higher order partial differential equations

I. Kukavica, 2004 .

Primitive equations with continuous initial data

I. Kukavica, M. Ziane, Yuan Pei, 2014 .

Global existence for the stochastic Navier–Stokes equations with small $$L^{p}$$ L p data

I. Kukavica, M. Ziane, Fanhui Xu, 2021, Stochastics and Partial Differential Equations: Analysis and Computations.

A local asymptotic expansion for a solution of the Stokes system

I. Kukavica, Guher Camliyurt, 2016, 1712.00092.

Weighted bounds for the velocity and the vorticity for the Navier–Stokes equations

I. Kukavica, J. J. Torres, J J Torres, 2006 .

Remarks on the inviscid limit problem for the Navier-Stokes equations

I. Kukavica, V. Vicol, Fei Wang, 2020 .

The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

I. Kukavica, V. Vicol, Fei Wang, 2019, Archive for Rational Mechanics and Analysis.

On the regularity for the Boussinesq equations in a bounded domain

I. Kukavica, M. Ziane, Weiwei Hu, 2013 .

Sharp trace regularity for an anisotropic elasticity system

I. Kukavica, A. Tuffaha, A. Mazzucato, 2013 .

Regularity of Solutions to a Free Boundary Problem of Fluid Structure Interaction

I. Kukavica, A. Tuffaha, Friday, 2013 .

Backward behavior of solutions of the Kuramoto–Sivashinsky equation

I. Kukavica, Mehmet Malcok, 2005 .

On Fourier parametrization of global attractors for equations in one space dimension

I. Kukavica, 2005 .

Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces

I. Kukavica, Ednei Reis, 2011 .

On the weighted decay for solutions of the Navier-Stokes system

I. Kukavica, 2009 .

Far-field regularity for the supercritical quasi-geostrophic equation

Fei Wang, I. Kukavica, 2018 .

An upper bound for the winding number for solutions of the Ginzburg-Landau equation

I. Kukavica, 1992 .

On the Galerkin approximation and strong norm bounds for the stochastic Navier-Stokes equations with multiplicative noise

I. Kukavica, M. Ziane, Kerem Uğurlu, 2018, 1806.01498.

Quantitative Uniqueness and Vortex Degree Estimates for Solutions of the Ginzburg-Landau Equation

I. Kukavica, 2000 .

Zero Viscosity Limit for Analytic Solutions of the Primitive Equations

I. Kukavica, M. Lombardo, M. Sammartino, 2016 .

Long Time Behavior of Solutions to the 2D Boussinesq Equations with Zero Diffusivity

I. Kukavica, W. Wang, 2019, Journal of Dynamics and Differential Equations.

Strong Unique Continuation for the Navier–Stokes Equation with Non-Analytic Forcing

I. Kukavica, M. Ignatova, 2013 .

Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain

R. Temam, I. Kukavica, V. Vicol, 2011 .

Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations

P. Constantin, I. Kukavica, V. Vicol, 2015, 1504.00727.

Weighted L p Decay for Solutions of the Navier-Stokes Equations

I. Kukavica, J. J. Torres, 2007 .

Local existence for the stochastic Euler equations with Lévy noise

Igor Kukavica, Fanhui Xu, I. Kukavica, 2019, Asymptot. Anal..

Global Weak Solutions of the Navier–Stokes Equations for Intermittent Initial Data in Half-Space

W. S. O.za'nski, I. Kukavica, Z. Bradshaw, 2020, Archive for Rational Mechanics and Analysis.

On the ill-posedness of active scalar equations with odd singular kernels

I. Kukavica, V. Vicol, Fei Wang, 2016 .

The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity

L. Ryzhik, I. Kukavica, M. Ignatova, 2016 .

The harnack inequality for second-order elliptic equations with divergence-free drifts

L. Ryzhik, I. Kukavica, M. Ignatova, 2014 .

The fractal dimension of the singular set for solutions of the Navier–Stokes system

I. Kukavica, 2009 .

Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data

R. Temam, I. Kukavica, V. Vicol, 2010 .

On the regularity of the primitive equations of the ocean

I. Kukavica, M. Ziane, 2007 .

The Lorenz equation as a metaphor for the Navier-Stokes equations

Igor Kukavica, Edriss S. Titi, Ciprian Foias, 2001 .

Lagrangian time-analyticity for the Euler equations in a Sobolev domain

I. Kukavica, J. Jang, Linfeng Li, 2022, 2202.06113.

On the Lagrangian and Eulerian analyticity for the Euler equations

I. Kukavica, Guher Camliyurt, 2017, Physica D: Nonlinear Phenomena.

On Asymptotic Properties of the Boussinesq Equations

I. Kukavica, M. Ziane, Mustafa Aydin, 2023, 2304.00481.

Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions

Igor Kukavica, Mohammed Ziane, David Massatt, 2021, Discrete and Continuous Dynamical Systems.

Long Time Behavior of Solutions to the 2D Boussinesq Equations with Zero Diffusivity

I. Kukavica, W. Wang, 2019, Journal of Dynamics and Differential Equations.

Persistence of regularity for the viscous Boussinesq equations with zero diffusivity

Igor Kukavica, Weiwei Hu, Mohammed Ziane, 2015, Asymptot. Anal..

Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity

I. Kukavica, W. Wang, 2019, 1910.11307.

Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces

I. Kukavica, M. Ziane, Fei Wang, 2016, Advances in Differential Equations.

On Local Uniqueness of Weak Solutions to the Navier–Stokes System with BMO−1 Initial Datum

I. Kukavica, V. Vicol, 2008 .

I. Kukavica, 1999 .

Space Analyticity for the NavierStokes and Related Equations with Initial Data in L p

I. Kukavica, Z. Grujić, 1998 .

Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations

I. Kukavica, V. Vicol, M. Ziane, 2013, 1311.4204.

A class of solutions of the Navier–Stokes equations with large data

I. Kukavica, M. Ziane, W. Rusin, 2013 .

Solutions of the Navier-Stokes equations for large oscillatory data

I. Kukavica, M. Ziane, W. Rusin, 2013, Advances in Differential Equations.

On the regularity of the Navier–Stokes equation in a thin periodic domain

I. Kukavica, M. Ziane, 2007 .

Exact boundary controllability for the ideal magneto-hydrodynamic equations

Igor Kukavica, Vlad Vicol, Matthew Novack, 2021, Journal of Differential Equations.

Strong solutions for a fluid structure interaction system

Igor Kukavica, Amjad Tuffaha, Mohammed Ziane, 2010, Advances in Differential Equations.

Strong solutions to a Navier–Stokes–Lamé system on a domain with a non-flat boundary

Igor Kukavica, Amjad Tuffaha, Mohammed Ziane, 2010 .

The van Dommelen and Shen singularity in the Prandtl equations

I. Kukavica, V. Vicol, Fei Wang, 2015, 1512.07358.

On the inviscid limit of the Navier-Stokes equations

Igor Kukavica, Vlad Vicol, Peter Constantin, 2014, 1403.5748.

On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations

Igor Kukavica, Vlad Vicol, Fei Wang, 2021, Journal of Mathematical Fluid Mechanics.

On well-posedness and small data global existence for an interface damped free boundary fluid–structure model

Igor Kukavica, Amjad Tuffaha, Irena Lasiecka, 2014 .

Gevrey regularity for the Navier–Stokes in a half-space

I. Kukavica, V. Vicol, Guher Camliyurt, 2018, Journal of Differential Equations.

On quantitative uniqueness for parabolic equations

Igor Kukavica, Quinn Le, I. Kukavica, 2021, Journal of Differential Equations.

Strong unique continuation for higher order elliptic equations with Gevrey coefficients

I. Kukavica, M. Ignatova, 2012 .

Quantitative uniqueness for second-order elliptic operators

Igor Kukavica, I. Kukavica, 1998 .

Small-data global existence of solutions for the Pitaevskii model of superfluidity

Pranava Chaitanya Jayanti, I. Kukavica, J. Jang, 2023, 2305.12496.

Existence of invariant measures for the stochastic damped KdV equation

I. Kukavica, M. Ziane, Ibrahim Ekren, 2015, 1512.02686.

A Class of Large BMO−1 Non-Oscillatory Data for the Navier–Stokes Equations

I. Kukavica, M. Ziane, W. Rusin, 2014 .

One component regularity for the Navier–Stokes equations

Igor Kukavica, Mohammed Ziane, I. Kukavica, 2006 .

Nodal volumes for eigenfunctions of analytic regular elliptic problems

I. Kukavica, 1995 .

On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions

Igor Kukavica, Vlad Vicol, Nader Masmoudi, 2014, SIAM J. Math. Anal..

The regularity of solutions of the primitive equations of the ocean in space dimension three

I. Kukavica, M. Ziane, 2007 .

A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension

Igor Kukavica, Marcelo M. Disconzi, Amjad Tuffaha, 2019, SIAM J. Math. Anal..

A priori estimates for the free-boundary Euler equations with surface tension in three dimensions

I. Kukavica, M. Disconzi, 2017, Nonlinearity.

On the local existence of the free-surface Euler equation with surface tension

Igor Kukavica, Mihaela Ignatova, I. Kukavica, 2016, Asymptot. Anal..

Construction of the free-boundary 3D incompressible Euler flow under limited regularity

W. S. O.za'nski, I. Kukavica, A. Tuffaha, 2023, 2307.02201.

Local-in-time existence of a free-surface 3D Euler flow with H 2+δ initial vorticity in a neighborhood of the free boundary

W. Ozanski, I. Kukavica, W. O.za'nski, 2021, Nonlinearity.

On the local existence for the Euler equations with free boundary for compressible and incompressible fluids

I. Kukavica, M. Disconzi, 2018 .

On the Local Existence and Uniqueness for the 3D Euler Equation with a Free Interface

I. Kukavica, V. Vicol, A. Tuffaha, 2017 .

A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid

I. Kukavica, M. Disconzi, 2017, Evolution Equations & Control Theory.

On the Existence for the Free Interface 2D Euler Equation with a Localized Vorticity Condition

I. Kukavica, V. Vicol, A. Tuffaha, 2016 .

On the Local Existence and Uniqueness for the 3D Euler Equation with a Free Interface

I. Kukavica, V. Vicol, A. Tuffaha, 2016, Applied Mathematics & Optimization.

On the Existence for the Free Interface 2D Euler Equation with a Localized Vorticity Condition

Fei Wang, I. Kukavica, V. Vicol, 2016, Applied Mathematics & Optimization.

A Regularity Result for the Incompressible Euler Equation with a Free Interface

I. Kukavica, A. Tuffaha, 2014 .

A Regularity Result for the Incompressible Euler Equation with a Free Interface

I. Kukavica, A. Tuffaha, 2013, Applied Mathematics & Optimization.

Well-posedness for the compressible Navier–Stokes–Lamé system with a free interface

Igor Kukavica, Amjad Tuffaha, I. Kukavica, 2012 .

ON THE 2D FREE BOUNDARY EULER EQUATION

I. Kukavica, A. Tuffaha, 2012 .

A sharp regularity result for the Euler equation with a free interface

Igor Kukavica, Amjad Tuffaha, I. Kukavica, 2018, Asymptot. Anal..

On the local existence for the 3 D Euler equation with a free interface

I. Kukavica, V. Vicol, A. Tuffaha, 2015 .

Space-time decay for solutions of the Navier-Stokes equations

I. Kukavica, 2001 .

An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range

W. S. O.za'nski, I. Kukavica, 2021, Appl. Math. Lett..

Global Weak Solutions of the Navier–Stokes Equations for Intermittent Initial Data in Half-Space

W. S. O.za'nski, I. Kukavica, Z. Bradshaw, 2020, Archive for Rational Mechanics and Analysis.

On partial regularity for the Navier-Stokes equations

I. Kukavica, 2008 .

Role of the Pressure for Validity of the Energy Equality for Solutions of the Navier–Stokes Equation

I. Kukavica, 2006 .

Regularity for the Navier-Stokes equations with a solution in a Morrey space

I. Kukavica, 2008 .

Small data global existence for a fluid-structure model

I. Lasiecka, I. Kukavica, A. Tuffaha, 2017 .

Solutions to a free boundary problem of fluid-structure interaction

I. Kukavica, A. Tuffaha, 2012 .

Local existence of solutions to the free boundary value problem for the primitive equations of the ocean

I. Kukavica, M. Ziane, M. Ignatova, 2012 .

Uniform gradient bounds for the primitive equations of the ocean

I. Kukavica, M. Ziane, 2008, Differential and Integral Equations.

The primitive equations of the atmosphere in presence of vapour saturation

Michele Coti Zelati, R. Temam, I. Kukavica, 2014, 1406.3165.

Existence of Suitable Weak Solutions to the Navier–Stokes Equations for Intermittent Data

I. Kukavica, Z. Bradshaw, 2019, Journal of Mathematical Fluid Mechanics.

An Anisotropic Partial Regularity Criterion for the Navier–Stokes Equations

I. Kukavica, M. Ziane, Walter Rusin, 2015, 1511.02807.

On the global existence for a fluid-structure model with small data

Igor Kukavica, Amjad Tuffaha, Wojciech S. O.za'nski, 2021 .

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

R. Triggiani, B. Kaltenbacher, I. Lasiecka, 2018 .

Navier-Stokes equations with regularity in one direction

Igor Kukavica, Mohammed Ziane, I. Kukavica, 2007 .

On the mass transfer in the 3D Pitaevskii model

Pranava Chaitanya Jayanti, I. Kukavica, Juhi Jang, 2023, 2310.06305.

Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem

Igor Kukavica, James C. Robinson, I. Kukavica, 2004 .

A direct approach to Gevrey regularity on the half-space

I. Kukavica, V. Vicol, 2018, Partial Differential Equations in Fluid Mechanics.

Gevrey regularity of the Navier-Stokes equations in a half-space

I. Kukavica, V. Vicol, Guher Camliyurt, 2018 .

Anisotropic Estimates for the Two-Dimensional Kuramoto–Sivashinsky Equation

I. Kukavica, M. Ziane, S. Benachour, 2014 .

Existence of invariant measures for the stochastic damped Schrödinger equation

I. Kukavica, M. Ziane, Ibrahim Ekren, 2016, 1605.02014.

Partial regularity for the Navier-Stokes equations with a force in a Morrey space

I. Kukavica, 2011 .

On regularity for the Navier-Stokes equations in Morrey spaces

I. Kukavica, 2009 .

SOLUTIONS TO A FLUID-STRUCTURE INTERACTION FREE BOUNDARY PROBLEM

Igor Kukavica, Amjad Tuffaha, I. Kukavica, 2011 .

Space Analyticity for the Nonlinear Heat Equation in a Bounded Domain

I. Kukavica, Z. Grujić, 1999 .

A remark on time-analyticity for the Kuramoto-Sivashinsky equation

I. Kukavica, Z. Grujić, 2003 .

On the radius of analyticity of solutions to the three-dimensional Euler equations

I. Kukavica, V. Vicol, 2008 .

Boussinesq equations with zero viscosity or zero diffusivity: a review

James C. Robinson, I. Kukavica, M. Ziane, 2016 .

Anisotropic Estimates for the Two-Dimensional Kuramoto–Sivashinsky Equation

I. Kukavica, M. Ziane, S. Benachour, 2014, Journal of Dynamics and Differential Equations.

A Class of Large BMO−1 Non-Oscillatory Data for the Navier–Stokes Equations

I. Kukavica, M. Ziane, Walter Rusin, 2014, Journal of Mathematical Fluid Mechanics.

On the number of determining nodes for the Ginzburg-Landau equation

Igor Kukavica, I. Kukavica, 1992 .

On the Global Existence for the Kuramoto-Sivashinsky Equation

Igor Kukavica, David Massatt, I. Kukavica, 2021, Journal of Dynamics and Differential Equations.

On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data

I. Kukavica, 2003 .

On the interaction between compressible inviscid flow and an elastic plate

I. Kukavica, A. Tuffaha, vS'arka Nevcasov'a, 2023, 2311.08731.

The regularity of solutions of the primitive equations of the ocean in space dimension three

I. Kukavica, M. Ziane, 2007 .

Hausdorff length of level sets for solutions of the Ginzburg-Landau equation

I. Kukavica, 1995 .

Determining nodes for the Kuramoto-Sivashinsky equation

C. Foias, I. Kukavica, 1995 .

Local analyticity radii of solutions to the 3D Navier–Stokes equations with locally analytic forcing

I. Kukavica, Z. Bradshaw, Z. Grujić, 2015 .

Oscillations of solutions of the Kuramoto-Sivashinsky equation

I. Kukavica, 1994 .

On quantitative uniqueness for elliptic equations

Fei Wang, I. Kukavica, Guher Camliyurt, 2018, Mathematische Zeitschrift.

Log-log convexity and backward uniqueness

I. Kukavica, 2007 .

Backward uniqueness for solutions of linear parabolic equations

I. Kukavica, 2003 .

Length of Vorticity Nodal Sets for Solutions of the 2D Navier–Stokes Equations

I. Kukavica, 2003 .

Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping

I. Kukavica, A. Tuffaha, T. Alazard, 2024, 2404.09820.

An absence of a certain class of periodic solutions in the Navier-Stokes equations

I. Kukavica, 1994 .

On the dissipative scale for the Navier-Stokes equation

I. Kukavica, 1999 .

The Domain of Analyticity of Solutions to the Three-Dimensional Euler Equations in a Half Space

I. Kukavica, V. Vicol, 2010, 1007.2011.

A ladder inequality for the Navier-Stokes equation

I. Kukavica, 2000 .

Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations

P. Constantin, I. Kukavica, V. Vicol, 2015, 1504.00727.