Cauchy problem for viscous gas equations
Cauchy problem for viscous gas equations
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DOI：
10.1007/bf00971419
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发表时间：
1982
影响因子：
0.5
通讯作者：
A. Kazhikhov
中科院分区：
文献类型：
--
作者：
A. Kazhikhov
文[1]证明了，如果初始数据是近似静止的气体，则粘性导热气体一维运动方程的柯西问题是可解的。在本文中，我们证明了全局可解性，对初始数据的小性没有任何限制。严格的正性和密度界估计起着核心作用。
It was proved in [1] that the Cauchy problem is solvable for the equations of one-dimensional motion of a viscous heat-conducting gas if the initial data are for a gas nearly at rest. In this note, we prove global solvability without any restrictions on the smallness of the initial data. Strict positivity and density bound estimates play a central role.