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Wan, Ling; Wu, Lin-Xia

Global symmetric solutions for a multi-dimensional compressible viscous gas with radiation in exterior domains. (English) Zbl 1430.35200

Z. Angew. Math. Phys. 70, No. 4, Paper No. 130, 22 p. (2019).
Summary: This paper is devoted to the study of the initial-boundary value problem for a multi-dimensional compressible Navier-Stokes-Poisson coupled system that describes the motion of a viscous gas with radiation, in the domain exterior to a ball of \(\mathbb{R}^d\). By means of nonlinear energy method, we show the global-in-time existence and asymptotic stability of the spherically and cylindrically symmetric solutions for large initial data, provided that the adiabatic exponent \(\gamma\) is sufficiently close to 1.

Cited in 5 Documents

MSC:

35Q35 PDEs in connection with fluid mechanics
35B40 Asymptotic behavior of solutions to PDEs
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
80A21 Radiative heat transfer

Keywords:

viscous gas with radiation; spherical and cylindrical symmetry; asymptotic stability; large initial data; unbounded domains
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References:

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