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Kukavica, Igor

  1. On the local well-posedness of the Prandtl and the hydrostatic Euler\n equations with multiple monotonicity regions
    2014/02/09 by Igor Kukavica, Kukavica, Igor, Nader Masmoudi +5 · 7 citations
    Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics
  2. On the inviscid limit of the Navier-Stokes equations
    2014/03/23 by Constantin, Peter, Kukavica, Igor, Vicol, Vlad · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  3. The van Dommelen and Shen singularity in the Prandtl equations
    2015/12/23 by Igor Kukavica, Kukavica, Igor, Vlad Vicol +3 · 3 citations
    Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics
  4. The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary
    2019/04/10 by Kukavica, Igor, Vicol, Vlad, Wang, Fei · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  5. Global well-posedness and exponential decay for a fluid-structure model with small data
    2021/10/28 by Kukavica, Igor, Ożański, Wojciech S. · 4 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. On a model of an elastic body fully immersed in a viscous incompressible fluid with small data
    2022/08/31 by Kukavica, Igor, Ożański, Wojciech S. · 4 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  7. On the Galerkin approximation and strong norm bounds for the stochastic\n Navier-Stokes equations with multiplicative noise
    2018/06/05 by Igor Kukavica, Kukavica, Igor, Kerem Uğurlu +3 · 2 citations
    Computer Science · Economics, Econometrics and Finance · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations #Stochastic processes and financial applications
  8. Exact Boundary Controllability for the Ideal Magneto-hydrodynamic Equations
    2021/08/27 by Igor Kukavica, Kukavica, Igor, Matthew Novack +3 · 2 citations
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
  9. The inviscid inflow-outflow problem via analyticity
    2023/10/31 by Igor Kukavica, Kukavica, Igor, Wojciech S. Ożański +5 · 3 citations
    Mathematics · Earth and Planetary Sciences · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Aquatic and Environmental Studies
  10. Inviscid fluid interacting with a nonlinear two-dimensional plate
    2024/10/31 by Abhishek Balakrishna, Balakrishna, Abhishek, Igor Kukavica +5 · 5 citations
    Computer Science · Engineering · Materials Science · #Analysis of PDEs (math.AP) #FOS: Mathematics #Material Dynamics and Properties #Nonlinear Dynamics and Pattern Formation #Particle Dynamics in Fluid Flows
  11. Quantitative unique continuation for a parabolic equation
    2017/11/17 by Camliyurt, Guher, Kukavica, Igor · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  12. Mach limits in analytic spaces
    2021/02/23 by Juhi Jang, Igor Kukavica, Jang, Juhi +3 · 1 citation
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions
  13. Mach limits in analytic spaces on exterior domains
    2021/05/28 by Jang, Juhi, Kukavica, Igor, Li, Linfeng · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  14. Construction of the free-boundary 3D incompressible Euler flow under limited regularity
    2023/07/05 by Aydin, Mustafa Sencer, Kukavica, Igor, Ożański, Wojciech S. +1 · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  15. A free boundary inviscid model of flow-structure interaction
    2022/05/24 by Kukavica, Igor, Tuffaha, Amjad · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  16. Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping
    2024/04/15 by Alazard, Thomas, Kukavica, Igor, Tuffaha, Amjad · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  17. Uniform bounds and the inviscid limit for the Navier-Stokes equations with Navier boundary conditions
    2024/04/26 by Mustafa Sencer Aydın, Igor Kukavica, Aydın, Mustafa Sencer +1 · 1 citation
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
  18. Local existence of strong solutions to the stochastic Navier-Stokes equations with Lp data
    2021/10/14 by Kukavica, Igor, Xu, Fanhui · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  19. Local existence of the stochastic Navier-Stokes equations in the whole space
    2023/01/30 by Igor Kukavica, Fei Wang, Kukavica, Igor +3 · 1 citation
    Economics, Econometrics and Finance · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Stochastic processes and financial applications
  20. A no-contact result for a plate-fluid interaction system in dimension three
    2025/10/11 by Bukal, Mario, Kukavica, Igor, Li, Linfeng +1 · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  21. A global existence result on weak solutions for the 3D Navier-Stokes-plate system with no contact
    2025/11/27 by Bukal, Mario, Kukavica, Igor, Li, Linfeng +1 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics