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Stability of Viscous Shock Wave under Periodic Perturbation for Compressible Navier-Stokes-Korteweg System
  • Lin Chang
Lin Chang
Beihang University

Corresponding Author:[email protected]

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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