LONG TIME EXISTENCE FOR THE NON-ISENTROPIC SLIGHTLY COMPRESSIBLE FLUID MODEL OF KORTEWEG TYPE  

作　　者：Qiangchang JU Jianjun XU 琚强昌;徐建军

机构地区：[1]Institute of Applied Physics and Computational Mathematics,Beijing 100088,China

出　　处：《Acta Mathematica Scientia》2025年第2期416-445,共30页数学物理学报(B辑英文版)

基　　金：supported by the NSFC(12131007,12071044).

摘　　要：We investigate the long time existence of strong solutions to the initial value problem for the three-dimensional non-isentropic compressible Navier-Stokes-Korteweg system.Under the conditions of slight density and temperature variations,we verify that the full compressible Navier-Stokes-Korteweg equations admit a unique strong solution as long as the solution of the limiting system exists,when the Mach number is sufficiently small.Furthermore,we deduce the uniform convergence of strong solutions for the compressible system toward those for the corresponding incompressible system on the time interval in which the solution exists.

关 键 词：non-isentropic compressible Navier-Stokes-Korteweg equations low Mach num-ber limit long time existence strong solution 

分 类 号：O175.2[理学—数学]