Space-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction
Space-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction
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DOI：
10.1063/5.0146449
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发表时间：
2023-10
影响因子：
1.3
通讯作者：
Mengqian Liu;Zhigang Wu
中科院分区：
文献类型：
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作者：
Mengqian Liu;Zhigang Wu
我们考虑 R3 中具有双曲热传导的可压缩纳维-斯托克斯方程。当初始扰动适当小时，给出了经典解的时空描述。结果表明，所有未知数都遵循广义惠更斯原理，即 Liu 和 Wang 中的经典可压缩纳维-斯托克斯方程 [Commun.数学。物理。 196, 145–173 (1998)]。此外，我们表明通量 q 的衰减比其他未知数更快。
We consider compressible Navier-Stokes equations with hyperbolic heat conduction in R3. A space-time description of the classical solution is given when the initial perturbation is suitable small. The result implies that all of the unknowns obey the generalized Huygens’ principle as the classical compressible Navier-Stokes equations in Liu and Wang [Commun. Math. Phys. 196, 145–173 (1998)]. Additionally, we show that the decay of the flux q is faster than the other unknowns.