Linear reaction-hyperbolic systems of partial differential equations
in one space dimension arise in the study of the physiological process by which
materials are transported in nerve cell axons. Probabilistic methods are
developed to derive a closed form approximate solution for an initial-boundary
value problem of such a system. The approximate solution obtained is a
translating solution of a heat equation. An estimate is proved giving the
deviation of this approximate traveling wave solution from the exact
solution.
Publié le : 1999-08-14
Classification:
Hyperbolic equations,
stochastic processes,
traveling waves,
renewal theory,
central limit theorem,
0G99,
35L45,
35L50,
92C20
@article{1029962811,
author = {Brooks, Elizabeth A.},
title = {Probabilistic methods for a linear reaction-hyperbolic system with
constant coefficients},
journal = {Ann. Appl. Probab.},
volume = {9},
number = {1},
year = {1999},
pages = { 719-731},
language = {en},
url = {http://dml.mathdoc.fr/item/1029962811}
}
Brooks, Elizabeth A. Probabilistic methods for a linear reaction-hyperbolic system with
constant coefficients. Ann. Appl. Probab., Tome 9 (1999) no. 1, pp. 719-731. http://gdmltest.u-ga.fr/item/1029962811/