On the weak solutions to the equations of a compressible heat conducting gas
On the weak solutions to the equations of a compressible heat conducting gas
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DOI：
10.1016/j.anihpc.2013.11.005
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发表时间：
2013-07
影响因子：
1.9
通讯作者：
Elisabetta Chiodaroli;E. Feireisl;Ondřej Kreml
中科院分区：
文献类型：
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作者：
Elisabetta Chiodaroli;E. Feireisl;Ondřej Kreml
本文研究描述可压缩热传导气体运动的Euler-Fourier方程组的弱解。采用凸积分的方法，我们表明，该问题承认无穷多个全球的时间弱解的任何选择光滑的初始数据。我们还表明，对于任何初始分布的密度和温度，存在一个初始速度，使相关的初值问题具有无穷多个解决方案，保持总能量。
We consider the weak solutions to the Euler–Fourier system describing the motion of a compressible heat conducting gas. Employing the method of convex integration, we show that the problem admits infinitely many global-in-time weak solutions for any choice of smooth initial data. We also show that for any initial distribution of the density and temperature, there exists an initial velocity such that the associated initial-value problem possesses infinitely many solutions that conserve the total energy.