71 citations · 278 across the 57 of their papers we have counts for
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A global existence result on weak solutions for the 3D Navier-Stokes-plate system with no contact
Mario Bukal, Igor Kukavica, Linfeng Li +1
We consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper bo…
A geophysical free-boundary system modeling an ice-sheet interacting with an ocean
Matthias Hieber, Igor Kukavica, Amjad Tuffaha +1
We consider a free-boundary model for the ice-sheet interacting with an ocean. The model captures the coupling between a viscous geophysical fluid and an elastic interface through…
A no-contact result for a plate-fluid interaction system in dimension three
Mario Bukal, Igor Kukavica, Linfeng Li +1
We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described…
The Euler equations with variable coefficients
Benjamin Ingimarson, Igor Kukavica, Amjad Tuffaha
We establish local-in-time existence for the Euler equations on a bounded domain with space-time dependent variable coefficients, given initial data under the optimal…
The structure of weak solutions to the Navier-Stokes equations
Zachary Bradshaw, Igor Kukavica
The existence of superfluous solutions to the Navier-Stokes equations in the whole space implies that not all solutions with uniformly locally bounded energy satisfy a useful local…
Nodal set for the Schrödinger equation under a local growth condition
Igor Kukavica, Linfeng Li
We address the upper bound on the size of the nodal set for a solution of the Schrödinger equation in an open set in , where the coeffic…
The stochastic Navier-Stokes equations with general data
Mustafa Sencer Aydın, Igor Kukavica, Fanhui Xu
We consider the stochastic Navier-Stokes equations with multiplicative noise with critical initial data. Assuming that the initial data belongs to the critical space …
A free boundary inviscid model of flow-structure interaction
Mustafa Sencer Aydın, Igor Kukavica, Amjad Tuffaha
We address the existence and of solutions for the Euler-plate free-boundary system modeling an interaction of a three-dimensional inviscid fluid and an evolving plate. We prove the…
Almost global existence for the stochastic Navier-Stokes equations with small data
Mustafa Sencer Aydın, Igor Kukavica, Fanhui Xu
We address the global existence of solutions to the stochastic Navier-Stokes equations with multiplicative noise and with initial data in . We prove that t…