MA
Department
MI - Joint Basci Teaching Department
Research Interests
mathematics
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Recent Publications
2018-12-12
辐射气体中一维双曲—椭圆耦合方程组初边值问题的大时间行为
The hyperbolic-elliptic coupled equations in radiating gas are a fundamental
system to describe the motion of the compressible inviscid gas. This paper is devoted to the study of the initial-boundary value problem on the half line for a
one-dimensional hyperbolic-elliptic coupled equations in radiating gas, which is a
system coupled by the classic compressible non-isentropic Euler equations with an
elliptic equation. In particular, we focus our attention on the case when the velocity
of the inward flow on the boundary is given as a positive constant. We give a rigorous proof of the asymptotic stability of the rarefaction wave without restrictions
on the smallness of the wave strength, provided that the data on the boundary is
supersonic. It is an improved result on the initial-boundary value problem for the
hyperbolic-elliptic coupled equations in radiating gas. Compared to existing result,
we obtain global existence under the assumption and initial data are required lower
regularities. In addition, we all improve the regularities by imposing more regularities on initial data.
system to describe the motion of the compressible inviscid gas. This paper is devoted to the study of the initial-boundary value problem on the half line for a
one-dimensional hyperbolic-elliptic coupled equations in radiating gas, which is a
system coupled by the classic compressible non-isentropic Euler equations with an
elliptic equation. In particular, we focus our attention on the case when the velocity
of the inward flow on the boundary is given as a positive constant. We give a rigorous proof of the asymptotic stability of the rarefaction wave without restrictions
on the smallness of the wave strength, provided that the data on the boundary is
supersonic. It is an improved result on the initial-boundary value problem for the
hyperbolic-elliptic coupled equations in radiating gas. Compared to existing result,
we obtain global existence under the assumption and initial data are required lower
regularities. In addition, we all improve the regularities by imposing more regularities on initial data.
Citation
M. AOUFI Mebarka, (2018-12-12), "辐射气体中一维双曲—椭圆耦合方程组初边值问题的大时间行为", [national] http://cdmd.cnki.com.cn/Article/CDMD-10511- 1019204271.htm25 , aoufi mebarka