Linear stability of traveling waves in first-order hyperbolic PDEs

DOI10.1007/s10884-011-9216-3zbMath1228.35046OpenAlexW2037506120MaRDI QIDQ548104

Jens Rottmann-Matthes

Publication date: 28 June 2011

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

Full work available at URL: https://doi.org/10.1007/s10884-011-9216-3

zbMATH Keywords

linear stabilityresolvent estimatespartial differential algebraic equationsnon strictly hyperbolic PDEs

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Traveling wave solutions (35C07)

Related Items (9)

Stable foliations near a traveling front for reaction diffusion systems ⋮ On the spectral stability of standing waves of the one-dimensional \(M^5\)-model ⋮ Existence and stability of traveling pulses in a reaction-diffusion-mechanics system ⋮ Stability and freezing of nonlinear waves in first order hyperbolic PDEs ⋮ Linear stability of traveling waves in first-order hyperbolic PDEs ⋮ Stability of a Planar Front in a Class of Reaction-Diffusion Systems ⋮ Spectrum of the M⁵-traveling waves ⋮ Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations ⋮ Stability of concatenated traveling waves: alternate approaches

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