Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid

Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid
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DOI:
10.1007/bf01562053
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发表时间:
1980-08
期刊:
Journal of Soviet Mathematics
影响因子:
--
通讯作者:
V. Solonnikov
V. Solonnikov
中科院分区:
其他
文献类型:
--
作者:
V. Solonnikov

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证明了描述常粘性可压缩流体运动的方程组的初边值问题相对于时间局部可解。没有考虑导热性。解在类Wq2.1中找到,q>3。
It is proved that the initial-boundary-value problem for the system of equations describing the motion of a compressible fluid with a constant viscosity is locally solvable with respect to time. The heat conductivity is not taken into account. The solution is found in the class Wq2.1, q>3.