Global Strong Solutions of Navier–Stokes Equations for Heat-Conducting Compressible Fluids with Vacuum at Infinity
Global Strong Solutions of Navier–Stokes Equations for Heat-Conducting Compressible Fluids with Vacuum at Infinity
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DOI：
10.1007/s00021-020-00548-w
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发表时间：
2021-01
影响因子：
1.3
通讯作者：
Zhilei Liang
中科院分区：
文献类型：
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作者：
Zhilei Liang
我们研究描述具有非负密度的三维空间中导热可压缩流体的方程的柯西问题。在假设初始能量较小的情况下，唯一强解的全局存在性成立。此外，还导出了溶液及其导数的衰减率。
We study the Cauchy problem for the equations describing a heat-conducting compressible fluid in three dimensional space with non-negative density. The global existence of unique strong solution is established, in case when the initial energy is assumed to be small. In addition, the decay rates for the solutions and their derivatives are derived.