Stability of Steady Solutions to Reaction-Hyperbolic Systems for Axonal Transport
Hao Yan, Wen-An Yong
TL;DR
This paper investigates the stability of steady solutions in reaction-hyperbolic systems modeling axonal transport, establishing conditions for their long-term stability and relaxation boundary-layer behavior.
Contribution
It provides a detailed analysis of the relaxation structure and proves the time-asymptotic stability of steady solutions under specific structural assumptions.
Findings
Steady solutions are stable over time under certain conditions.
Relaxation boundary-layers exhibit stability.
Structural assumptions clarify the relaxation dynamics.
Abstract
This paper is concerned with the stability of steady solutions to initial-boundary-value problems of reaction-hyperbolic systems for axonal transport. Under proper structural assumptions, we clarify the relaxation structure of the reaction-hyperbolic systems and show the time-asymptotic stability of steady solutions or relaxation boundary-layers.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Navier-Stokes equation solutions · Nonlinear Partial Differential Equations