asymptotic analysis 1compressible flow 1hydrostatic approximation 1incompressible limit 1primitive equations 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AP2026
The traveling wave solutions of the 1D hyperbolic Keller-Segel equations
Xin Liu, William Kyle Barker
The goal of this paper is to investigate the traveling wave solutions with one-sided far field conditions for the one-dimensional hyperbolic Keller-Segel equations with quorum sens…
math.AP2026
Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow
Quyuan Lin, Xin Liu
The paper rigorously derives the hydrostatic-incompressible limit of the isothermal compressible Navier‑Stokes equations under small Mach number, small aspect ratio, and weak strat…