STABILITY OF STEADY SOLUTIONS TO REACTION-HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT

DOI10.1142/S0219891612500105zbMath1250.35029arXiv1109.3541MaRDI QIDQ2911986

Wen-An Yong, Hao Yan

Publication date: 13 September 2012

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

Full work available at URL: https://arxiv.org/abs/1109.3541

zbMATH Keywords

large-time asymptotic stabilityrelaxation boundary-layersrelaxation structure

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Neural biology (92C20) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (2)

Exact representation of the asymptotic drift speed and diffusion matrix for a class of velocity-jump processes ⋮ Boundary stabilization of hyperbolic balance laws with characteristic boundaries

Cites Work

• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Singular perturbations of first-order hyperbolic systems with stiff source terms
• Entropy and global existence for hyperbolic balance laws
• Existence of traveling-wave solutions for hyperbolic systems of balance laws
• TIME-ASYMPTOTIC STABILITY OF BOUNDARY-LAYERS FOR A HYPERBOLIC RELAXATION SYSTEM
• Approximate Traveling Waves in Linear Reaction‐Hyperbolic Equations
• Approximate Traveling Waves in Linear Reaction-Hyperbolic Equations
• Global Existence of Solutions to Reaction-Hyperbolic Systems in one Space Dimension
• Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems

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