Free boundary problem for one-dimensional motions of compressible gas and vacuum
Free boundary problem for one-dimensional motions of compressible gas and vacuum
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DOI：
10.1007/bf03167467
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发表时间：
2004-06
影响因子：
0.9
通讯作者：
Mari Okada
中科院分区：
文献类型：
--
作者：
Mari Okada
考虑一维等熵运动方程的自由边界问题，当密度函数在边界上连续地与真空连接时，粘度随密度变化μ=bρβ，其中带β为正常数。我们证明了在时间上全局存在一个弱解。
We consider a free boundary problem for the equation of one-dimensional isentropic motions with density-dependent viscosityμ=bρβ, wherebandβare positive constants, when the density function connects to a vacuum continuously on the boundary. We prove that there exists a weak solution globally in time, provided that.