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math.AP2025
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…
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)…