Igor Kukavica

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Person:187078

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zbMath Open kukavica.igorWikidataQ18529805 ScholiaQ18529805MaRDI QIDQ187078

List of research outcomes

PublicationDate of PublicationType
Construction of the free-boundary 3D incompressible Euler flow under limited regularity2024-04-16Paper
On a Model of an Elastic Body Fully Immersed in a Viscous Incompressible Fluid with Small Data2024-02-08Paper
Global well-posedness and exponential decay for a fluid-structure model with small data2024-01-10Paper
On the local existence of solutions to the fluid-structure interaction problem with a free interface2023-12-26Paper
On the interaction between compressible inviscid flow and an elastic plate2023-11-15Paper
On the global existence for the Kuramoto-Sivashinsky equation2023-09-08Paper
An inviscid free boundary fluid-wave model2023-07-10Paper
Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions2023-07-03Paper
Local existence of strong solutions to the stochastic Navier-Stokes equations with \(L^p\) data2023-04-19Paper
On Asymptotic Properties of the Boussinesq Equations2023-04-02Paper
On the pointwise Schauder estimates for elliptic equations2023-02-07Paper
Local existence of the stochastic Navier-Stokes equations in the whole space2023-01-30Paper
Local-in-time existence of a free-surface 3D Euler flow with H 2+δ initial vorticity in a neighborhood of the free boundary2023-01-12Paper
On quantitative uniqueness for parabolic equations2022-12-21Paper
Mach limits in analytic spaces on exterior domains2022-07-15Paper
Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space2022-06-28Paper
A free boundary inviscid model of flow-structure interaction2022-05-24Paper
On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations2022-04-26Paper
Existence of global weak solutions to the Navier-Stokes equations in weighted spaces2022-04-19Paper
Global existence for the stochastic Navier-Stokes equations with small \(L^p\) data2022-04-14Paper
https://portal.mardi4nfdi.de/entity/Q50679362022-04-04Paper
Exact boundary controllability for the ideal magneto-hydrodynamic equations2022-03-10Paper
Lagrangian time-analyticity for the Euler equations in a Sobolev domain2022-02-12Paper
An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range2021-10-26Paper
Local existence of strong solutions to the stochastic Navier-Stokes equations with $L^{p}$ data2021-10-13Paper
Exact Boundary Controllability for the Ideal Magneto-hydrodynamic Equations2021-08-26Paper
Mach limits in analytic spaces2021-08-16Paper
On the Euler+Prandtl expansion for the Navier-Stokes equations2021-07-07Paper
Local-in-time existence of free-surface 3D Euler flow with $H^{2+\delta}$ initial vorticity in a neighborhood of the free boundary2021-06-26Paper
On the local existence of solutions to the fluid-structure interaction problem with a free interface2021-04-27Paper
Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity2021-03-23Paper
Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity2020-11-11Paper
The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary2020-05-15Paper
Analyticity up to the boundary for the Stokes and the Navier-Stokes systems2020-04-09Paper
Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data2020-01-28Paper
A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension2019-10-18Paper
A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid2019-10-14Paper
A priori estimates for the free-boundary Euler equations with surface tension in three dimensions2019-08-19Paper
Local existence for the stochastic Euler equations with Lévy noise2019-08-14Paper
On local regularity conditions for the Navier–Stokes equations2019-05-14Paper
On quantitative uniqueness for elliptic equations2019-05-08Paper
On localization and quantitative uniqueness for elliptic partial differential equations2019-01-10Paper
A direct approach to Gevrey regularity on the half-space2019-01-10Paper
Quantitative unique continuation for a parabolic equation2018-11-02Paper
Existence of invariant measures for the stochastic damped KdV equation2018-11-02Paper
On the Lagrangian and Eulerian analyticity for the Euler equations2018-10-24Paper
Gevrey regularity for the Navier-Stokes in a half-space2018-09-06Paper
Mathematical theory of evolutionary fluid-flow structure interactions2018-06-29Paper
A sharp regularity result for the Euler equation with a free interface2018-05-18Paper
Far-field regularity for the supercritical quasi-geostrophic equation2018-05-17Paper
On the local existence for the Euler equations with free boundary for compressible and incompressible fluids2018-03-12Paper
On the local existence and uniqueness for the 3D Euler equation with a free interface2018-02-13Paper
On the Galerkin approximation and strong norm bounds for the stochastic Navier-Stokes equations with multiplicative noise.2018-02-09Paper
Existence of invariant measures for the stochastic damped Schrödinger equation2017-12-19Paper
Localized anisotropic regularity conditions for the Navier-Stokes equations2017-12-13Paper
Existence of invariant measures for some damped stochastic dispersive equations2017-07-19Paper
An anisotropic partial regularity criterion for the Navier-Stokes equations2017-06-16Paper
https://portal.mardi4nfdi.de/entity/Q29739302017-04-05Paper
Boussinesq equations with zero viscosity or zero diffusivity: a review2017-04-05Paper
Small data global existence for a fluid-structure model2017-03-02Paper
The van Dommelen and Shen singularity in the Prandtl equations2017-01-05Paper
On the local existence of the free-surface Euler equation with surface tension2017-01-04Paper
A local asymptotic expansion for a solution of the Stokes system2016-12-07Paper
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations2016-11-17Paper
On the ill-posedness of active scalar equations with odd singular kernels2016-11-08Paper
Zero viscosity limit for analytic solutions of the primitive equations2016-08-22Paper
On the existence for the free interface 2D Euler equation with a localized vorticity condition2016-06-30Paper
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity2016-06-03Paper
Persistence of regularity for solutions of the Boussinesq equations in Sobolev spaces2016-02-25Paper
Weighted decay for the surface quasi-geostrophic equation2015-10-23Paper
Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing2015-07-23Paper
Moments for strong solutions of the 2D stochastic Navier–Stokes equations in a bounded domain2015-07-01Paper
Persistence of regularity for the viscous Boussinesq equations with zero diffusivity2015-07-01Paper
On the inviscid limit of the Navier-Stokes equations2015-04-22Paper
The primitive equations of the atmosphere in presence of vapour saturation2015-04-01Paper
On the local existence for an active scalar equation2015-03-27Paper
On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions2015-03-19Paper
Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation2014-12-12Paper
The Harnack inequality for second-order elliptic equations with divergence-free drifts2014-11-18Paper
https://portal.mardi4nfdi.de/entity/Q29207272014-09-26Paper
A regularity result for the incompressible Euler equation with a free interface2014-09-18Paper
Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations2014-07-26Paper
Primitive equations with continuous initial data2014-07-03Paper
A class of large \(BMO^{-1}\) non-oscillatory data for the Navier-Stokes equations2014-06-16Paper
On well-posedness and small data global existence for an interface damped free boundary fluid–structure model2014-04-30Paper
On the regularity for the Boussinesq equations in a bounded domain2014-04-07Paper
A class of solutions of the Navier-Stokes equations with large data2014-02-05Paper
Local existence of solutions to the free boundary value problem for the primitive equations of the ocean2014-01-14Paper
On well-posedness for a free boundary fluid-structure model2014-01-14Paper
Introduction to Special Issue: Incompressible Fluids, Turbulence and Mixing2014-01-14Paper
Solutions to a Free Boundary Problem of Fluid-Structure Interaction2013-12-10Paper
On the local existence of analytic solutions to the Prandtl boundary layer equations2013-08-22Paper
Sharp trace regularity for an anisotropic elasticity system2013-07-05Paper
Solutions of the Navier-Stokes equations for large oscillatory data2013-05-28Paper
Strong unique continuation for the Navier-Stokes equation with non-analytic forcing2013-05-06Paper
On the 2D free boundary Euler equation2013-03-13Paper
Well-posedness for the compressible Navier–Stokes–Lamé system with a free interface2012-11-23Paper
An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier–Stokes system2012-10-10Paper
Solutions to a fluid-structure interaction free boundary problem2012-03-19Paper
Strong unique continuation for higher order elliptic equations with Gevrey coefficients2012-03-07Paper
Uniform gradient bounds for the primitive equations of the ocean.2011-03-23Paper
On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations2011-03-22Paper
The domain of analyticity of solutions to the three-dimensional Euler equations in a half space2011-03-07Paper
Strong solutions to a Navier–Stokes–Lamé system on a domain with a non-flat boundary2011-02-01Paper
Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain2011-01-14Paper
Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces2011-01-10Paper
Partial regularity for the Navier-Stokes equations with a force in a Morrey space2010-11-22Paper
Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients2010-10-01Paper
Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data2010-07-20Paper
Strong solutions for a fluid structure interaction system2010-05-14Paper
On regularity for the Navier-Stokes equations in Morrey spaces2010-03-22Paper
The fractal dimension of the singular set for solutions of the Navier–Stokes system2009-12-15Paper
https://portal.mardi4nfdi.de/entity/Q31818912009-10-12Paper
Strong solutions to a nonlinear fluid structure interaction system2009-08-12Paper
On the weighted decay for solutions of the Navier-Stokes system2009-03-11Paper
Regularity for the Navier-Stokes equations with a solution in a Morrey space2009-02-26Paper
On the radius of analyticity of solutions to the three-dimensional Euler equations2009-02-25Paper
Navier-Stokes equations with regularity in one direction2008-10-14Paper
On local uniqueness of weak solutions to the Navier-Stokes system with \(\mathrm{BMO}^{-1}\) initial datum2008-08-20Paper
On partial regularity for the Navier-Stokes equations2008-07-29Paper
On the regularity of the primitive equations of the ocean2008-02-21Paper
The regularity of solutions of the primitive equations of the ocean in space dimension three2007-09-26Paper
Log-log convexity and backward uniqueness2007-05-15Paper
On the regularity of the Navier-Stokes equation in a thin periodic domain2007-03-27Paper
On the regularity of the solutions of the Navier-Stockes equation in a thin periodic domain2007-03-02Paper
Regularity of the Navier-Stokes equation in a thin periodic domain with large data2007-02-05Paper
Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation2006-09-12Paper
Conditional regularity of the 3D Navier-Stokes equation.2006-08-14Paper
One component regularity for the Navier–Stokes equations2006-06-29Paper
Pressure integrability conditions for uniqueness of mild solutions of the Navier--Stokes system2006-05-16Paper
On Fourier parametrization of global attractors for equations in one space dimension2005-10-18Paper
Backward behavior of solutions of the Kuramoto-Sivashinsky equation2005-06-23Paper
Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem2004-11-23Paper
Spatial complexity of solutions of higher order partial differential equations2004-08-16Paper
Backward uniqueness for solutions of linear parabolic equations2004-03-29Paper
Fourier parameterization of attractors for dissipative equations in one space dimension2004-03-15Paper
On local uniqueness of weak solutions of the Navier--Stokes system with bounded initial data.2003-11-16Paper
Length of Vorticity Nodal Sets for Solutions of the 2D Navier–Stokes Equations2003-05-19Paper
Interior gradient bounds for the 2D Navier-Stokes system2003-04-28Paper
The Lorenz equation as a metaphor for the Navier-Stokes equations.2003-03-16Paper
A remark on time-analyticity for the Kuramoto--Sivashinsky equation2003-03-11Paper
Space-time decay for solutions of the Navier-Stokes equations2003-03-04Paper
Nodal parametrisation of analytic attractors2001-01-01Paper
https://portal.mardi4nfdi.de/entity/Q45106952000-12-12Paper
A ladder inequality for the Navier-Stokes equation2000-08-09Paper
Quantitative uniqueness for second-order elliptic operators2000-03-27Paper
On the dissipative scale for the Navier-Stokes equation1999-12-16Paper
Self-similar variables and the complex ginzburg-landau equation1999-12-13Paper
Space analyticity for the nonlinear heat equation in a bounded domain1999-11-16Paper
Localization of attractors by their analytic properties1998-08-16Paper
Unique continuation on the boundary for Dini domains1998-03-24Paper
Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)1998-03-18Paper
Level sets for the stationary solutions of the Ginzburg-Landau equation1997-12-18Paper
Dirichlet quotients and 2D periodic Navier-Stokes equations1997-11-09Paper
https://portal.mardi4nfdi.de/entity/Q48827961997-04-15Paper
Level sets of the vorticity and the stream function for the 2D periodic Navier-Stokes equations with potential forces1996-06-30Paper
Nodal volumes for eigenfunctions of analytic regular elliptic problems1996-04-28Paper
Determining nodes for the Kuramoto-Sivashinsky equation1995-09-25Paper
Hausdorff length of level sets for solutions of the Ginzburg-Landau equation1995-06-11Paper
Oscillations of solutions of the Kuramoto-Sivashinsky equation1995-02-16Paper
An absence of a certain class of periodic solutions in the Navier-Stokes equations1994-09-14Paper
https://portal.mardi4nfdi.de/entity/Q40242771993-02-02Paper
On the number of determining nodes for the Ginzburg-Landau equation1993-01-16Paper
On the behavior of the solutions of the Kuramoto-Sivashinsky equation for negative time1992-09-27Paper
On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations1992-06-27Paper

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