Stability of semi-discrete shock profiles by means of an Evans function in infinite dimensions

DOI10.1023/A:1016391200280zbMath1001.35081MaRDI QIDQ700805

Sylvie Benzoni-Gavage

Publication date: 8 October 2002

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

delay differential equationssemi-discretizationspectral stabilityinfinite-dimensional dynamical systemtravelling-wave solutions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Invariant manifolds of functional-differential equations (34K19)

Related Items (8)

Determining stability of pulses for partial differential equations with time delays ⋮ An investigation of the internal structure of shock profiles for shock capturing schemes ⋮ Spectral validation of the Whitham equations for periodic waves of lattice dynamical systems ⋮ A Lax shock profile satisfying a sufficient condition of spectral instability ⋮ Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations ⋮ Stability of pulse solutions for the discrete FitzHugh–Nagumo system ⋮ Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel ⋮ Green's function pointwise estimates for the modified Lax–Friedrichs scheme

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