Solution to a system of equations modelling compressible fluid flow with capillary stress effects

Electronic Journal of Differential Equations

关键词: Existence;    capillary;    compressible fluid;   

DOI  :  

来源: DOAJ

【 摘 要 】

We study the initial-value problem for a system of nonlinearequations that models the flow of a compressible fluid withcapillary stress effects. The system includes hyperbolic equationsfor the density and for the velocity, and an algebraic equation(the equation of state) for the pressure. We prove the existenceof a unique classical solution to an initial-value problem forthis system of equations under periodic boundary conditions. Thekey to the proof is an a priori estimate for the density andvelocity in a high Sobolev norm.

【 授权许可】

Unknown