Balanced flux formulations for multidimensional Evans-function computations for viscous shocks

DOI10.1090/qam/1492zbMath1398.35160arXiv1703.02099OpenAlexW2593990098MaRDI QIDQ4563562

Blake Barker, Kevin Zumbrun, Jeffrey Humpherys, Gregory D. Lyng

Publication date: 1 June 2018

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02099

zbMATH Keywords

conservation lawsEvans functionviscous shocksbalanced flux formulationshyperbolic parabolic systems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations ⋮ Multidimensional stability of large-amplitude Navier-Stokes shocks ⋮ Convective-wave solutions of the Richard-Gavrilyuk model for inclined shallow-water flow ⋮ Transverse bifurcation of viscous slow MHD shocks ⋮ Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability

Uses Software

• STABLAB

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of viscous shocks in isentropic gas dynamics
• Spectral stability of ideal-gas shock layers
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Pointwise Green function bounds for shock profiles of systems with real viscosity
• Spectral stability of small-amplitude shock profiles for dissipative symmetric hyperbolic-parabolic systems
• Multidimensional stability of large-amplitude Navier-Stokes shocks
• An Evans function approach to spectral stability of small-amplitude shock profiles
• Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
• Transverse bifurcation of viscous slow MHD shocks
• An efficient shooting algorithm for Evans function calculations in large systems
• Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems
• The existence and stability of multi-dimensional shock fronts
• Pointwise semigroup methods and stability of viscous shock waves
• Viscous and inviscid stability of multidimensional planar shock fronts

This page was built for publication: Balanced flux formulations for multidimensional Evans-function computations for viscous shocks