The One-Dimensional Darcy's Law as the Limit of a Compressible Euler Flow
The One-Dimensional Darcy's Law as the Limit of a Compressible Euler Flow
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DOI：
10.1016/0022-0396(90)90130-h
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发表时间：
1990-03
影响因子：
2.4
通讯作者：
P. Marcati;A. Milani
中科院分区：
文献类型：
--
作者：
P. Marcati;A. Milani
本文研究了一维空间中有阻尼可压缩Euler流的多方状态方程，当惯性项在适当的重新密封下趋于零时解的奇异收敛性。更精确地说，我们考虑对所有E> 0的方程组（见附录）~（/fzP）~+（qP（uE）*+ p”），=-ku”p&= p（p”）= c（p”p”）（1.11，
In this paper we study the singular convergence of solutions to a damped compressible Euler flow in one dimension of space, with a polytropic equation of state, when the inertial terms tend to zero in a suitable resealing. More precisely, we consider for all E> 0 the system of equations (see the appendix)~(/fzP)~+(qP (uE)*+ p”),=-ku” p&= p (p”)= c (p”)’(1.11,