论文标题
一阶重点相对论粘性水动力学的Sobolev空间中的局部适应性
Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics
论文作者
论文摘要
我们研究了ARXIV中引入的相对论粘性流体动力学理论：1109.0985和Arxiv：1907.12695，在Barotropicic Flicids的情况下，该理论提供了一种具有粘度的相对论流体的因果且稳定的一阶理论。其运动方程式的本地供应良好，以前是在Gevrey空间中建立的。在这里，我们通过证明Sobolev空间中的本地适应性来改善这一结果。
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.
