On weak (measure valued)–strong uniqueness for Navier–Stokes–Fourier system with Dirichlet boundary condition

On weak (measure valued)–strong uniqueness for Navier–Stokes–Fourier system with Dirichlet boundary condition
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具有 Dirichlet 边界条件的 Navier-Stokes-Fourier 系统的弱(测值)-强唯一性

DOI:
10.1007/s00030-023-00895-3
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发表时间:
2022
期刊:
Nonlinear Differential Equations and Applications NoDEA
影响因子:
--
通讯作者:
N. Chaudhuri
N. Chaudhuri
中科院分区:
--
文献类型:
--
作者:
N. Chaudhuri

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在这篇文章中,我们的目标是定义一个可压缩的Navier-Stokes-Fourier系统的测度值解的热传导流体的Dirichlet边界条件的温度在一个有界区域。该定义将基于熵不等式和弹道能量不等式的弱形式。利用相对能量得到了该解的弱(测度值)-强唯一性。
In this article, our goal is to define a measure valued solution of compressible Navier–Stokes–Fourier system for a heat conducting fluid with Dirichlet boundary condition for temperature in a bounded domain. The definition will be based on the weak formulation of entropy inequality and ballistic energy inequality. Moreover, we obtain the weak (measure valued)–strong uniqueness property of this solution with the help of relative energy.
DOI: 10.4007/annals.2018.188.2.4
发表时间: 2015-07
影响因子: 4.9
作者:
D. Bresch;P. Jabin
通讯作者: D. Bresch;P. Jabin