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

Francesca Romana Guarguaglini

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arXiv · 1707.02955

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

Francesca Romana Guarguaglini

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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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BibTeX RIS

Francesca Romana Guarguaglini. 2017-07-10. Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network. https://arxiv.org/abs/1707.02955

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