Stability of Viscous Shock Wave under Periodic Perturbation for
Compressible Navier-Stokes-Korteweg System
- Lin Chang
Abstract
In this paper, we study the stability of a viscous shock wave for the
isentropic Navier-Stokes-Korteweg equations under space-periodic
perturbation. It is shown that if the initial perturbation around the
shock and the amplitude of the shock are small, then the solution of the
N-S-K equations tends to the viscous shock.05 Jan 2022Submitted to Mathematical Methods in the Applied Sciences 06 Jan 2022Submission Checks Completed
06 Jan 2022Assigned to Editor
23 Feb 2022Reviewer(s) Assigned
05 May 2022Review(s) Completed, Editorial Evaluation Pending
02 Jun 2022Editorial Decision: Accept