Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics
Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics
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DOI：
10.3934/cpaa.2021068
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发表时间：
2019-11
影响因子：
1
通讯作者：
F. S. Bemfica;M. Disconzi;P. J. Graber
中科院分区：
文献类型：
--
作者：
F. S. Bemfica;M. Disconzi;P. J. Graber
我们研究了arXiv：1109.0985和arXiv：1907.12695中介绍的相对论粘性流体动力学理论，该理论提供了正压流体情况下相对论粘性流体的因果和稳定的一阶理论。它的运动方程的局部适定性先前已在Gevrey空间中建立。在这里，我们通过证明Sobolev空间中的局部适定性来改进这个结果。
We study the theory of relativistic viscous hydrodynamics introduced in arXiv:1109.0985 and arXiv:1907.12695, which provided a causal and stable first-order theory of relativistic fluids with viscosity in the case of barotropic fluids. The local well-posedness of its equations of motion has been previously established in Gevrey spaces. Here, we improve this result by proving local well-posedness in Sobolev spaces.