15 citations · 33 across the 31 of their papers we have counts for
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Exponential Decay of Solutions to a Fluid-Plate Model with Small Initial Data
Mario Bukal, Igor Kukavica, Linfeng Li +1
We consider a three-dimensional fluid-structure interaction problem coupling the incompressible Navier-Stokes equations in a time-dependent domain with a square-root damped plate e…
Analyticity up to the boundary for the divergence equation
Igor Kukavica, Qi Xu
We address analytic regularity for the divergence equation in , with on , where is an arbitrary bounded analytic domain and $\int_Ω f\,…
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…