THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FULL NAVIER-STOKES-KORTEWEG SYSTEM OF VAN DER WAALS GAS  

作　　者：Hakho HONG 

机构地区：[1]Institute of Mathematics,State Academy of Sciences,Pyongyang,Democratic Peoples Republic of Korea

出　　处：《Acta Mathematica Scientia》2023年第2期469-491,共23页数学物理学报（B辑英文版）

摘　　要：The aim of this work is to prove the existence for the global solution of a nonisothermal or non-isentropic model of capillary compressible fluids derived by J.E.Dunn and J.Serrin(1985),in the case of van der Waals gas.Under the small initial perturbation,the proof of the global existence is based on an elementary energy method using the continuation argument of local solution.Moreover,the uniqueness of global solutions and large time behavior of the density are given.It is one of the main difficulties that the pressure p is not the increasing function of the densityρ.

关 键 词：Navier-Stokes-Korteweg system van der Waals gas EXISTENCE UNIQUENESS 

分 类 号：O175[理学—数学] TE31[理学—基础数学]