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math.AP2026
Local Well-Posedness for Compressible Capillary-Gravity Water Waves with Acute Contact Angles
Jingchi Huang, Shanmu Li, Chao Wang
Our purpose is to investigate the local well-posedness of the compressible Euler equations in a two-dimensional bounded corner domain with acute contact angles. This configuration…
math.AP2026
Long-time asymptotics and invariant manifold for the fractional 2D Navier-Stokes equation
Jingchi Huang, Dandan Li, Shuai Zhang
We consider the two-dimensional incompressible Navier-Stokes equations with supercritical fractional dissipation in the vorticity formulation. In self-similar variables, we analyze…