3 papers
math.AP2026
Local Well-posedness of Free Boundary Problems for the Euler--Monge--Ampère Equations
Sicheng Liu, Tao Luo
We study the free-boundary Euler--Monge--Ampère system as a conservative relaxation of ideal incompressible fluid motion. The force is determined on the actual fluid domain by a Mo…
math.AP2025
On the 2D Plasma-Vacuum Interface Problems for Ideal Incompressible MHD
Sicheng Liu, Tao Luo
This manuscript concerns the stability conditions for the well-posedness of the two-dimensional plasma-vacuum interface problems for ideal incompressible magnetohydrodynamics (MHD)…
math.AP2024
Physical Vacuum Problems for the Full Compressible Euler Equations: Low-regularity Hadamard-style Local Well-posedness
Sicheng Liu, Tao Luo
This manuscript concerns the dynamics of non-isentropic compressible Euler equations in a physical vacuum. We establish the Hadamard-style local well-posedness in low-regularity we…