In this paper we prove the local well-posedness (LWP) for the 3D compressible Euler
equations describing the motion of a liquid in an unbounded initial domain with moving …

We consider the three dimensional free-boundary compressible elastodynamic system
under the Rayleigh–Taylor sign condition. This describes the motion of an isentropic inviscid …

We show that the solution of the free-boundary incompressible ideal magnetohydrodynamic
(MHD) equations with surface tension converges to that of the free-boundary incompressible …

In this paper we establish the incompressible limit for the compressible free-boundary Euler
equations with surface tension in the case of a liquid. Compared to the case without surface …

We consider the three-dimensional free boundary incompressible ideal
magnetohydrodynamics (MHD) equations with surface tension in a bounded domain. The …

We prove the local well-posedness of the 3D free-boundary incompressible ideal
magnetohydrodynamics (MHD) equations with surface tension, which describe the motion of …

We provide a complete local well-posedness theory in $ H^ s $ based Sobolev spaces for
the free boundary incompressible Euler equations with zero surface tension on a connected …

We consider the three-dimensional incompressible magnetohydrodynamics (MHD)
equations in a bounded domain with small volume and free moving surface boundary. We …

We consider the local existence and uniqueness of solutions for a system consisting of an
inviscid fluid with a free boundary, modeled by the Euler equations, in a domain enclosed by …

We consider the three-dimensional incompressible free-boundary magnetohydrodynamics
(MHD) equations in a bounded domain with surface tension on the boundary. We establish …