I. Kukavica

Most-cited papers

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

   I. Kukavica, V. Vicol, Fei Wang

   2019Archive for Rational Mechanics and Analysis59 citations Open access

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2. Small data global existence for a fluid-structure model

   M. Ignatova, I. Kukavica, I. Lasiecka, A. Tuffaha

   201752 citations

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3. Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

   B. Kaltenbacher, I. Kukavica, I. Lasiecka, R. Triggiani +2 more

   201839 citations

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4. Zero Viscosity Limit for Analytic Solutions of the Primitive Equations

   I. Kukavica, M. Lombardo, M. Sammartino

   201636 citations Open access

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

   I. Kukavica, W. Wang

   2019Journal of Dynamics and Differential Equations26 citations Open access

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6. Existence of invariant measures for the stochastic damped Schrödinger equation

   Ibrahim Ekren, I. Kukavica, M. Ziane

   201625 citations Open access

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

   Z. Bradshaw, I. Kukavica, Tai-Peng Tsai

   2019Journal of Mathematical Fluid Mechanics23 citations Open access

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

   I. Kukavica, A. Tuffaha, V. Vicol

   201722 citations

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

   I. Kukavica, Fei Wang, M. Ziane

   2016Advances in Differential Equations21 citations

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

    I. Kukavica, T. T. Nguyễn, V. Vicol, Fei Wang

    2021Journal of Mathematical Fluid Mechanics20 citations Open access

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11. Analyticity up to the boundary for the Stokes and the Navier-Stokes systems

    Guher Camliyurt, I. Kukavica, V. Vicol

    202019 citations Open access

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12. On the Global Existence for the Kuramoto-Sivashinsky Equation

    I. Kukavica, David Massatt

    2021Journal of Dynamics and Differential Equations18 citations

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

    Guher Camliyurt, I. Kukavica, V. Vicol

    2018Journal of Differential Equations18 citations Open access

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

    M. Disconzi, I. Kukavica

    2017Nonlinearity18 citations Open access

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15. A free boundary inviscid model of flow-structure interaction

    I. Kukavica, A. Tuffaha

    2022Journal of Differential Equations15 citations Open access

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16. Quantitative unique continuation for a parabolic equation

    Guher Camliyurt, I. Kukavica

    201715 citations Open access

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

    M. Ignatova, I. Kukavica

    2016Asymptotic Analysis15 citations Open access

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

    M. Disconzi, I. Kukavica, A. Tuffaha

    2019SIAM Journal on Mathematical Analysis14 citations Open access

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19. Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity

    I. Kukavica, W. Wang

    201914 citations

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20. Exact boundary controllability for the ideal magneto-hydrodynamic equations

    I. Kukavica, Matthew Novack, V. Vicol

    2021Journal of Differential Equations13 citations Open access

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

    I. Kukavica, V. Vicol, Fei Wang

    201613 citations

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22. Mach limits in analytic spaces

    J. Jang, I. Kukavica, Lin-Feng Li

    202112 citations Open access

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23. On a Model of an Elastic Body Fully Immersed in a Viscous Incompressible Fluid with Small Data

    I. Kukavica, W. Ożański

    2022SIAM Journal on Mathematical Analysis11 citations Open access

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24. Global well-posedness and exponential decay for a fluid-structure model with small data

    I. Kukavica, W. Ożański

    2021Indiana University Mathematics Journal11 citations Open access

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

    M. Ignatova, I. Kukavica, L. Ryzhik

    201610 citations

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26. Mach limits in analytic spaces on exterior domains

    J. Jang, I. Kukavica, Lin-Feng Li

    2021Discrete & Continuous Dynamical Systems9 citations Open access

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

    I. Kukavica, Fan-Hui Xu, M. Ziane

    2021Stochastics and Partial Differential Equations: Analysis and Computations9 citations

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

    I. Kukavica, V. Vicol, Fei Wang

    20209 citations

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

    M. Disconzi, I. Kukavica

    2017Evolution Equations and Control Theory9 citations Open access

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30. Localized Anisotropic Regularity Conditions for the Navier–Stokes Equations

    I. Kukavica, Walter Rusin, M. Ziane

    2017Journal of nonlinear science9 citations

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31. Inviscid fluid interacting with a nonlinear two-dimensional plate

    A. Balakrishna, I. Kukavica, B. Muha, A. Tuffaha

    2024Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications8 citations Open access

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32. Local existence of strong solutions to the stochastic Navier-Stokes equations with $L^{p}$ data

    I. Kukavica, Fan-Hui Xu

    20218 citations

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33. Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions

    I. Kukavica, David Massatt, M. Ziane

    2021Discrete and Continuous Dynamical Systems. Series A8 citations Open access

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34. On local regularity conditions for the Navier–Stokes equations

    I. Kukavica, Walter Rusin, M. Ziane

    2019Nonlinearity8 citations

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35. Local existence of the stochastic Navier–Stokes equations in the whole space

    I. Kukavica, Fei Wang, Fan-Hui Xu

    2023Stochastics and Partial Differential Equations: Analysis and Computations7 citations Open access

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36. On quantitative uniqueness for parabolic equations

    I. Kukavica, Quinn Le

    2021Journal of Differential Equations7 citations Open access

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

    I. Kukavica, V. Vicol, Fei Wang

    2020Archive for Rational Mechanics and Analysis7 citations Open access

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38. Global-in-Time Weak Solutions for an Inviscid Free Surface Fluid-Structure Problem Without Damping

    T. Alazard, I. Kukavica, A. Tuffaha

    2024Annals of PDE6 citations Open access

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39. On asymptotic properties of the Boussinesq equations

    Mustafa Aydin, I. Kukavica, M. Ziane

    2023Discrete and Continuous Dynamical Systems - B6 citations Open access

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

    Mustafa Aydin, I. Kukavica, W. Ożański, A. Tuffaha

    2023Journal of Differential Equations6 citations Open access

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

    Kerem Uğurlu, M. Ziane, I. Kukavica

    2018Differential and Integral Equations6 citations Open access

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42. On the Lagrangian and Eulerian analyticity for the Euler equations

    Guher Camliyurt, I. Kukavica

    2017Physica A: Statistical Mechanics and its Applications6 citations Open access

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

    Z. Bradshaw, I. Kukavica, W. Ożański

    2020Archive for Rational Mechanics and Analysis5 citations Open access

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44. A direct approach to Gevrey regularity on the half-space

    I. Kukavica, V. Vicol

    2018Partial Differential Equations in Fluid Mechanics5 citations

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

    I. Kukavica, A. Tuffaha, V. Vicol, Fei Wang

    20165 citations

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46. A No-Contact Result for a Plate-Fluid Interaction System in Dimension Three

    M. Bukal, I. Kukavica, Lin-Feng Li, B. Muha

    2025SIAM Journal on Mathematical Analysis4 citations Open access

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47. A Global Existence Result on Weak Solutions for the 3D Navier–Stokes-Plate System with no Contact

    M. Bukal, I. Kukavica, Lin-Feng Li, B. Muha

    2025Journal of nonlinear science4 citations Open access

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48. Global existence of the stochastic Navier-Stokes equations in $L^3$ with small data

    I. Kukavica, Fan-Hui Xu

    20244 citations

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49. Uniform Bounds and the Inviscid Limit for the Navier-Stokes Equations with Navier Boundary Conditions

    Mustafa Sencer Aydın, I. Kukavica

    2024SIAM Journal on Mathematical Analysis4 citations

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50. An inviscid free boundary fluid-wave model

    I. Kukavica, A. Tuffaha

    2023Journal of evolution equations (Printed ed.)4 citations Open access

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