Spectral stability of hydraulic shock profiles

DOI10.1016/j.physd.2020.132360zbMath1483.35021arXiv1810.01490OpenAlexW3001624141WikidataQ126294187 ScholiaQ126294187MaRDI QIDQ2077549

Zhao Yang, Alim Sukhtayev, Kevin Zumbrun

Publication date: 21 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01490

zbMATH Keywords

shallow water equationshyperbolic balance lawsdecay rates in \(L^p\)linear and nonlinear \(H^2 \cap L^1 \to H^2\) stabilityrelaxation shocksubshock

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)

Related Items (6)

Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws ⋮ Convective-wave solutions of the Richard-Gavrilyuk model for inclined shallow-water flow ⋮ A thorough description of one-dimensional steady open channel flows using the notion of viscosity solution ⋮ A Sturm-Liouville theorem for quadratic operator pencils ⋮ Stability of hydraulic shock profiles ⋮ Stability of strong detonation waves for Majda’s model with general ignition functions

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