Proves local well-posedness for compressible gravity-capillary water waves with vorticity via an approximate hyperbolic system and paradifferential calculus, yielding uniform estimates for incompressible and zero-tension limits.
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Compressible Gravity-Capillary Water Waves with Vorticity: Local Well-Posedness, Incompressible and Zero-Surface-Tension Limits
Proves local well-posedness for compressible gravity-capillary water waves with vorticity via an approximate hyperbolic system and paradifferential calculus, yielding uniform estimates for incompressible and zero-tension limits.