Exponential stability of large-amplitude traveling fronts for quasi-linear relaxation systems with diffusion

DOI10.1016/j.physd.2011.02.003zbMath1223.37099OpenAlexW2001847306MaRDI QIDQ544115

Yaping Wu, Li-na Wang, Tong Li

Publication date: 14 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.physd.2011.02.003

zbMATH Keywords

exponential stabilityEvans functionsingular perturbation methodspectral analysislarge-amplitude traveling frontsrelaxation system with diffusion

Mathematics Subject Classification ID

Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

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Cites Work

• Linear and nonlinear exponential stability of traveling waves for hyperbolic systems with relaxation
• Semigroups of linear operators and applications to partial differential equations
• Hyperbolic conservation laws with relaxation
• Geometric theory of semilinear parabolic equations
• Applications of centre manifold theory
• Geometric singular perturbation theory for ordinary differential equations
• Asymptotic stability of solitary waves
• Stability of travelling waves for a cross-diffusion model
• Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
• Stability of a traffic flow model with nonconvex relaxation
• Nonlinear dynamics of traffic jams
• Nonlinear Stability of Viscous Roll Waves
• Stability of Traveling Waves in Quasi-Linear Hyperbolic Systems with Relaxation and Diffusion
• Relaxation and diffusion enhanced dispersive waves
• Pointwise Green's function bounds and stability of relaxation shocks
• Stability of Large-Amplitude Shock Profiles of General Relaxation Systems
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