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math.AP2026
Expanding solutions to the compressible Navier-Stokes equations with degenerate viscosities in spherical symmetry: global existence and inviscid limit
Shuying Hu, Zhouping Xin, Yuan Yuan
This paper is devoted to studying the strong solutions to the vacuum free boundary problem for the isentropic compressible Navier-Stokes equations with density-dependent viscositie…
math.AP2026
Enhanced stability and asymptotic limits to the non-isentropic compressible fluid-particle interaction model with thermal effects
Fucai Li, Jinkai Ni, Zhouping Xin
In Einstein's seminal work [Ann. Physik, 17 (1905), 549-560], he pointed out that the temperature of a fluid influences the motion of suspended particles dramatically. To describe…