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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-Wave Spectral Instability of Shear Layers for the Compressible Euler Equations
Chao Wang, Yuxi Wang, Wenzhi Wu +1
We study the long-wave spectral instability of the two-dimensional compressible Euler equations around smooth monotone shear layers. We construct decaying half-line solutions of th…