Local weak solutions of the isentropic compressible Navier-Stokes equations in a half-space  

作　　者：Qin Duan Xiangdi Huang 

机构地区：[1]College of Mathematics and Statistics,Shenzhen University,Shenzhen 518060,China [2]Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [3]Hua Loo-Keng Center for Mathematical Sciences,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Science China Mathematics》2022年第5期993-1002,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 11771300);the Research Foundation for “Kong Que” Talents of Shenzhen;supported by National Natural Science Foundation of China (Grant Nos. 11971464, 11688101, 11731007 and 11671412);outh Innovation Promotion Association, Chinese Academy of Sciences

摘　　要：In this paper, we establish the local existence of weak solutions with higher regularity of the threedimensional half-space compressible isentropic Navier-Stokes equations with the adiabatic exponent γ > 1 in the presence of vacuum. Here we do not need any smallness of the initial data.

关 键 词：Navier-Stokes equation HALF-SPACE local weak solution VACUUM 

分 类 号：O175[理学—数学] O357[理学—基础数学]