Faculty

Institution

Unit

Venue

Igor Kukavica

Professor of Mathematics

University of Southern California

Affiliations

College of Letters, Arts and Sciences

Natural Sciences

Mathematics

Igor Kukavica is currently serving as a College Of Letters, Arts And Sciences Professor of Mathematics at University of Southern California.

Honors

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Experiences

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Education

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Igor Kukavica

University of Southern California

Professor of Mathematics

You can click a keyword to filter the displayed items

applied mathematics fluid dynamics mathematics boundary value problems partial differential equations fluid mechanics navier-stokes equations mathematical analysis dynamical systems numerical analysis free boundary problems nonlinear analysis mathematical physics computational fluid dynamics fluid flow mathematical sciences global analysis local existence nonlinear phenomena hydrodynamic stability discrete dynamical systems nonlinear dynamics nonlinear science navier-stokes system free interface ordinary differential equations numerical mathematics stochastic differential equations strong solutions communication numerical simulations primitive equations boussinesq equations fluid-structure interaction parabolic equations kuramoto-sivashinsky equation navier-stokes equation mathematical optimization surface tension theoretical analysis euler equations mechanical engineering numerical method for partial differential equation mathematical control theory quantitative uniqueness ginzburg-landau equation inviscid limit invariant measures level sets bifurcation theory nonlinear equations calculus of variations hydrostatic euler equations spectral theory applied algebra oscillation theory attractor general systems analytic number theory system dynamics regularization (mathematics) discrete integrable system discrete dynamics fractal analysis localization engineering optimization mathematical bioscience physical oceanography information theory multiple scale open access nonlinear oscillations integral transforms vector space model complex dynamics residual stress incompressible flow

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Free Boundary Inviscid Model of Flow-Structure Interaction. arXiv (Cornell University) (2025)

flow physicsfree boundary problemsboundary value problemsfluid dynamicsflow-structure interactioncomputational fluid dynamicsfluid-structure interactionnumerical simulationsfluid mechanicsapplied mathematicsfluid flow

Almost Global Existence for the Stochastic Navier-Stokes Equations With Small $H^{1/2}$ Data. arXiv (Cornell University) (2025)

physicsstochastic calculusglobal existenceboundary value problemsstochastic navier-stokes equationscomputational fluid dynamicsapplied mathematicsstochastic processpartial differential equationsstochastic differential equationsdifferential equationsstochastic partial differential equations

Euler Equations in Sobolev Conormal Spaces. Research in the Mathematical Sciences (2025)

differential geometryboundary value problemsmathematical sciencesmonge-ampere equationfunction spaceseuler equationsmathematicsgeometric topology

Global-In-Time Weak Solutions for an Inviscid Free Surface Fluid-Structure Problem Without Damping. Annals of PDE (2025)

Thomas AlazardIgor KukavicaAmjad Tuffaha

fluid dynamicstheoretical analysisapplied mathematicsapplied physicsglobal-in-time weak solutions

Observability From a Measurable Set for Functions in a Gevrey Class. Proceedings of the London Mathematical Society (2025)

gevrey classmeasurable set

On the Local Analyticity for the Euler Equations. arXiv (Cornell University) (2025)

riemann-hilbert problemglobal analysisboundary value problemslocal analyticitycomplex analysismathematics

The Inviscid Inflow-Outflow Problem via Analyticity. Archive for Rational Mechanics and Analysis (2025)

numerical mathematicsnumerical analysisinviscid inflow-outflow problemvalidated numericsapplied mathematics

Uniform Bounds and the Inviscid Limit for the Navier–Stokes Equations With Navier Boundary Conditions. SIAM Journal on Mathematical Analysis (2025)

mathematical analysisnumerical analysisboundary value problemsfluid dynamicsfree boundary problemsincompressible flownavier boundary conditionscomputational fluid dynamicsinviscid limitpartial differential equationsuniform boundsmathematicsapplied mathematics

Construction of the Free-Boundary 3D Incompressible Euler Flow Under Limited Regularity. Journal of Differential Equations (2024)

Mustafa Sencer AydinIgor KukavicaWojciech S. OżańskiAmjad Tuffaha

fluid dynamicslimited regularityincompressible euler flowapplied mathematics

Exact Boundary Controllability of the 3D Incompressible Ideal Mhd System. arXiv (Cornell University) (2024)

Kukavica, IgorOżański, Wojciech S.

systems engineeringcontrol systemsincompressible flowboundary value problemsfluid dynamicsmathematical control theorymagnetohydrodynamicscontrollabilitycontrol optimizationdynamical systemspartial differential equationsexact boundary controllabilityautomatic controlapplied mathematicsengineering

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Igor Kukavica

Professor of Mathematics

University of Southern California

Affiliations

College of Letters, Arts and Sciences

Natural Sciences

Mathematics

Igor Kukavica is currently serving as a College Of Letters, Arts And Sciences Professor of Mathematics at University of Southern California.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Igor Kukavica

University of Southern California

Professor of Mathematics

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Free Boundary Inviscid Model of Flow-Structure Interaction. arXiv (Cornell University) (2025)

Almost Global Existence for the Stochastic Navier-Stokes Equations With Small $H^{1/2}$ Data. arXiv (Cornell University) (2025)

Euler Equations in Sobolev Conormal Spaces. Research in the Mathematical Sciences (2025)

differential geometryboundary value problemsmathematical sciencesmonge-ampere equationfunction spaceseuler equationsmathematicsgeometric topology

Global-In-Time Weak Solutions for an Inviscid Free Surface Fluid-Structure Problem Without Damping. Annals of PDE (2025)

Thomas AlazardIgor KukavicaAmjad Tuffaha

fluid dynamicstheoretical analysisapplied mathematicsapplied physicsglobal-in-time weak solutions

Observability From a Measurable Set for Functions in a Gevrey Class. Proceedings of the London Mathematical Society (2025)

gevrey classmeasurable set

On the Local Analyticity for the Euler Equations. arXiv (Cornell University) (2025)

riemann-hilbert problemglobal analysisboundary value problemslocal analyticitycomplex analysismathematics

The Inviscid Inflow-Outflow Problem via Analyticity. Archive for Rational Mechanics and Analysis (2025)

numerical mathematicsnumerical analysisinviscid inflow-outflow problemvalidated numericsapplied mathematics

Uniform Bounds and the Inviscid Limit for the Navier–Stokes Equations With Navier Boundary Conditions. SIAM Journal on Mathematical Analysis (2025)

Construction of the Free-Boundary 3D Incompressible Euler Flow Under Limited Regularity. Journal of Differential Equations (2024)

Mustafa Sencer AydinIgor KukavicaWojciech S. OżańskiAmjad Tuffaha

fluid dynamicslimited regularityincompressible euler flowapplied mathematics

Exact Boundary Controllability of the 3D Incompressible Ideal Mhd System. arXiv (Cornell University) (2024)

Kukavica, IgorOżański, Wojciech S.

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Similar Faculty Members

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incompressible flow

rational mechanic

Camillo De Lellis

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New York University

boundary value problem

fluid flow

Zhongwei Shen

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Zhang, Jianfeng

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finance

stochastic process

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calculus of variation

nonlinear analysis

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