Schauder estimate in large scale for compressible planar cavity flows with fast-decaying vorticity
Year: 2026
Type: preprint
Abstract: In this paper, we study planar compressible cavity flows fast-decaying vorticity and establish a Schauder estimate in large scale. As an application, we obtain an a priori asymptotic growth rate estimate of the cavity, that $s^{\frac{1}{2}-δ}\lesssim h(s)\lesssim s^{\frac{1}{2}+δ}$. This is by far the most accurate asymptotic estimate for compressible cavity flows and is probably the first paper that takes vorticity into account in the asymptotic analysis.
Source: arXiv (Cornell University)
Author: Zhang, Chilin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221836120