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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…
math.AP2025
Global smooth solutions to 4D quasilinear wave equations with short pulse initial data
Bingbing Ding, Zhouping Xin, Huicheng Yin
In this paper, we establish the global existence of smooth solutions to general 4D quasilinear wave equations satisfying the first null condition with the short pulse initial data.…
math.AP2024
Well-posedness of regular solutions for 3-D full compressible Navier-Stokes equations with degenerate viscosities and heat conductivity
Qin Duan, Zhouping Xin, Shengguo Zhu
For the degenerate viscous and heat conductive compressible fluids, the momentum equations and the energy equation are degenerate both in the time evolution and spatial dissipation…