Igor Kukavica

Research.com Recognitions

• 2018 - Fellow of the American Mathematical Society For contributions to nonlinear partial differential equations, mentoring, and service to the profession.
• 2000 - Fellow of Alfred P. Sloan Foundation

Overview

Best Publications

• On the regularity of the primitive equations of the ocean

  Igor Kukavica;Mohammed Ziane

  201
  Citations

• Navier-Stokes equations with regularity in one direction

  Igor Kukavica;Mohammed Ziane

  193
  Citations

• One component regularity for the Navier–Stokes equations

  Igor Kukavica;Mohammed Ziane

  175
  Citations

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

  Zoran Grujić;Igor Kukavica;Igor Kukavica

  160
  Citations

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

  Igor Kukavica;Vlad Vicol

  135
  Citations

• Quantitative uniqueness for second-order elliptic operators

  Igor Kukavica

  128
  Citations

• ON THE LOCAL WELL-POSEDNESS OF THE PRANDTL AND HYDROSTATIC EULER EQUATIONS WITH MULTIPLE MONOTONICITY REGIONS ∗

  Igor Kukavica;Nader Masmoudi;Vlad Vicol;Tak Kwong Wong

  120
  Citations

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

  Igor Kukavica;Vlad Vicol

  113
  Citations

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

  Igor Kukavica;Roger Temam;Vlad C. Vicol;Mohammed Ziane

  87
  Citations

• SOLUTIONS TO A FLUID-STRUCTURE INTERACTION FREE BOUNDARY PROBLEM

  Igor Kukavica;Amjad Tuffaha

  85
  Citations

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

  Mihaela Ignatova;Igor Kukavica;Irena Lasiecka;Irena Lasiecka;Amjad Tuffaha

  80
  Citations

• On the inviscid limit of the Navier-Stokes equations

  Peter Constantin;Igor Kukavica;Vlad Vicol

  78
  Citations

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

  Nathan Glatt-Holtz;Igor Kukavica;Vlad Vicol;Mohamme D Ziane

  77
  Citations

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

  Igor Kukavica;Mohammed Ziane

  71
  Citations

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

  Igor Kukavica

  70
  Citations

• On the dissipative scale for the Navier-Stokes equation

  Igor Kukavica

  70
  Citations

• The van Dommelen and Shen singularity in the Prandtl equations

  Igor Kukavica;Vlad Vicol;Fei Wang

  63
  Citations

• On the regularity for the Boussinesq equations in a bounded domain

  Weiwei Hu;Igor Kukavica;Mohammed Ziane

  61
  Citations

• THE DOMAIN OF ANALYTICITY OF SOLUTIONS TO THE THREE-DIMENSIONAL EULER EQUATIONS IN A HALF SPACE

  Igor Kukavica;Vlad C. Vicol

  61
  Citations

• Unique continuation on the boundary for Dini domains

  Igor Kukavica;Igor Kukavica;Kaj Nyström

  60
  Citations

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

  Zoran Grujic;Igor Kukavica

  59
  Citations