Stability of Steady Solutions to Reaction-Hyperbolic Systems for Axonal   Transport
  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. 
Hao Yan and Wen-An Yong
math.AP