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math.AP2022
A free boundary inviscid model of flow-structure interaction
Igor Kukavica, Amjad Tuffaha
We obtain the local existence and uniqueness for a system describing interaction of an incompressible inviscid fluid, modeled by the Euler equations, and an elastic plate, represen…
math.AP2019★ 15 cited
A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension
Marcelo M. Disconzi, Igor Kukavica, Amjad Tuffaha
We consider the three-dimensional incompressible free-boundary Euler equations in a bounded domain and with surface tension. Using Lagrangian coordinates, we establish a priori est…