Stability of large-amplitude viscous shock under periodic perturbation for 1-d isentropic Navier-Stokes equations

DOI10.1007/s00220-021-04203-xzbMath1493.35067arXiv2012.13864OpenAlexW3194796458MaRDI QIDQ2244077

Qian Yuan, Fei-Min Huang

Publication date: 11 November 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.13864

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Perturbations in context of PDEs (35B20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (5)

Periodic Perturbations of a Composite Wave of Two Viscous Shocks for 1-d Full Compressible Navier--Stokes Equations ⋮ Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations ⋮ Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations ⋮ Stability of viscous shock wave under periodic perturbation for compressible Navier–Stokes–Korteweg system ⋮ Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations

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