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math.AP2022
A regularity result for the free boundary compressible Euler equations of a liquid
Linfeng Li
We derive a priori estimates for the compressible free boundary Euler equations in the case of a liquid without surface tension. We provide a new weighted functional framework whic…
math.AP2022
Lagrangian time-analyticity for the Euler equations in a Sobolev domain
Juhi Jang, Igor Kukavica, Linfeng Li
Assuming only Sobolev regularity of the domain, we prove time-analyticity of Lagrangian trajectories for solutions of the Euler equations.
math.AP2022
On the local existence of solutions to the Navier-Stokes-wave system with a free interface
Igor Kukavica, Linfeng Li, Amjad Tuffaha
We address a system of equations modeling a compressible fluid interacting with an elastic body in dimension three. We prove the local existence and uniqueness of a strong solution…