arXiv subjects

Manyu Liu

Publications and source records attributed to Manyu Liu.

2 recordsLinked to original sources

arXiv2025

Stability of Superposition of Viscous Contact Wave and Rarefaction Waves for Compressible Navier-Stokes System with Degenerate Heat-Conductivity and Large-Data

This paper is concerned with the large-time behavior of solutions for the compressible Navier-Stokes system with degenerate heat-conductivity describing the one-dimensional motion of a viscous heat-conducting perfect polytropic gas. We proved that for the one-dimensional compressible system with temperature-dependent heat conductivity, the combination of viscous contact wave with rarefaction waves for the non-isentropic polytropic gas is asymptotically stable under large initial perturbation, provided the strength of the combination waves is suitably small.

math.AP↗

arXiv2025

On Outer Pressure Problem of Compressible Navier-Stokes System with Degenerate Heat-Conductivity in Unbounded Domains

The compressible Navier-Stokes system with the constant viscosity and the nonlinear heat conductivity which is proportional to a positive power of the temperature and may be degenerate is considered. Under the outer pressure boundary conditions in one-dimensional unbounded spatial domains, the global existence of the strong solutions is obtained after proving that both the specific volume and temperature are bounded from below and above independently of time and space. Moreover, the asymptotically stability of global solutions is established as time tends to infinity.

math.AP↗