Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network

2017/07/10 by Guarguaglini, Francesca Romana · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1707.02955

Abstract

This paper approaches the question of existence and uniqueness of stationary solutions to a semilinear hyperbolic-parabolic system and the study of the asymptotic behaviour of global solutions. The system is a model for some biological phenomena evolving on a network composed by a finite number of nodes and oriented arcs. The transmission conditions for the unknowns, set at each inner node, are crucial features of the model.

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• A relaxation scheme for the equations of isentropic gas dynamics on a network with jump transmission conditions

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