Asymptotic stability of the rarefaction wave to one-dimensional compressible Navier-Stokes-Korteweg equations under space-periodic perturbations

DOI10.3934/dcdsb.2024044MaRDI QIDQ6614233

Zhe Chen, Yeping Li

Publication date: 7 October 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityenergy estimaterarefaction wavecompressible Navier-Stokes-Korteweg equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

This page was built for publication: Asymptotic stability of the rarefaction wave to one-dimensional compressible Navier-Stokes-Korteweg equations under space-periodic perturbations