2 papers
math.AP2026
Compressible Gravity-Capillary Water Waves with Vorticity: Local Well-Posedness, Incompressible and Zero-Surface-Tension Limits
Chenyun Luo, Junyan Zhang
We consider the 3D compressible isentropic Euler equations describing the motion of a liquid in an unbounded initial domain with a moving boundary and a fixed flat bottom at finite…
math.AP2025
Incompressible Limit of Compressible Ideal MHD Flows inside a Perfectly Conducting Wall
Jiawei Wang, Junyan Zhang
We prove the incompressible limit of compressible ideal magnetohydrodynamic(MHD) flows in a reference domain where the magnetic field is tangential to the boundary. Unlike the case…