Nonrelativistic limits for the 1D relativistic Euler equations with physical vacuum
Nonrelativistic limits for the 1D relativistic Euler equations with physical vacuum
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DOI：
10.1007/s00033-019-1189-9
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发表时间：
2019-09
期刊：
影响因子：
--
通讯作者：
La-Su Mai;Xiaoting Cao
中科院分区：
文献类型：
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作者：
La-Su Mai;Xiaoting Cao
证明了一维相对论性Euler方程自由边值问题的局部光滑解的非相对论性极限，当质能密度在自由边界上包含真空态时.我们成功地克服了相对论性欧拉方程分别因洛伦兹因子和移动边界上出现的真空而引起的强非线性和退化困难。此外，相对论性欧拉方程的光滑解收敛到经典可压缩欧拉方程的解，收敛速度为。
We prove the nonrelativistic limits of the local smooth solutions to the free boundary value problem of the 1D relativistic Euler equations, when the mass energy density includes the vacuum states at the free boundary. We successfully overcome the strong nonlinearity and the degenerate difficulty of the relativistic Euler equations caused by the Lorentz factor and the vacuum occurring on the moving boundary, respectively. Moreover, the smooth solutions of the relativistic Euler equations converge to the solutions of the classical compressible Euler equation, at the rate of.