Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids

Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
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DOI:
10.1007/bf01214738
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发表时间:
1983-12
影响因子:
2.4
通讯作者:
A. Matsumura;T. Nishida
A. Matsumura;T. Nishida
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Matsumura;T. Nishida

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本文研究了可压缩、粘性和导热流体的运动方程在半空间和任意有界区域的外部区域上的初边值问题。在给定的初值和外力足够小的条件下,证明了时间上的整体解存在唯一性,并逼近定态ast→∞.
The equations of motion of compressible viscous and heat-conductive fluids are investigated for initial boundary value problems on the half space and on the exterior domain of any bounded region. The global solution in time is proved to exist uniquely and approach the stationary state ast→∞, provided the prescribed initial data and the external force are sufficiently small.