The initial value problem for the compressible Navier-Stokes equations without heat conductivity
The initial value problem for the compressible Navier-Stokes equations without heat conductivity
复制标题
无热导率的可压缩纳维-斯托克斯方程的初值问题
DOI：
10.1016/j.jde.2019.11.025
复制
发表时间：
2020
影响因子：
2.4
通讯作者：
Zou Weiyuan
中科院分区：
文献类型：
--
作者：
Chen Qing;Tan Zhong;Wu Guochun;Zou Weiyuan
本文研究了无热传导的可压缩Navier-Stokes方程的全局存在性和强解的收敛速率。在初始数据接近H - 2框架的恒定平衡态的条件下，利用精细能量法建立了强解的整体存在唯一性。此外，如果初始数据还属于l2，则得到了解在l2范数上的最优收敛速率及其空间导数在l2范数上的最优收敛速率。
In this paper, we are concerned with the global existence and convergence rates of strong solutions for the compressible Navier-Stokes equations without heat conductivity in R 3. The global existence and uniqueness of strong solutions are established by the delicate energy method under the condition that the initial data are close to the constant equilibrium state in H 2-framework. Furthermore, if additionally the initial data belong to L 1, the optimal convergence rates of the solutions in L 2-norm and convergence rates of their spatial derivatives in L 2-norm are obtained.