ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT

doi:10.1016/S0252-9602(15)30029-1

Abstract

Abstract:

In this paper, we consider a class of reaction hyperbolic systems for axonal transport arising in neuroscience which can be regarded as hyperbolic systems with relaxation. We prove the BV entropy solutions of the hyperbolic systems converge toward to the unique entropy solution of the equilibrium equation at the optimal rate O(√δ)in L¹ norm as the relaxation time δ tends to zero.

Key words: axonal transport, relaxation, equilibrium, convergence rate

CLC Number:

35L40

Wentao CAO, Feimin HUANG. ON THE CONVERGENCE RATE OF A CLASS OF REACTION HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT[J].Acta mathematica scientia,Series B, 2015, 35(4): 945-954.

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