Local and global solutions for a hyperbolic-elliptic model of chemotaxis on a network

被引：3

作者：

Guarguaglini, Francesca Romana ^{[1
]}

Papi, Marco ^{[2
]}

Smarrazzo, Flavia ^{[2
]}

机构：

[1] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, Via Vetoio, I-67100 Laquila, Italy

[2] Univ Campus Biomed Roma, Via Alvaro Portillo 21, I-00128 Rome, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2019年 / 29卷 / 08期

关键词：

Hyperbolic-elliptic systems; networks; transmission conditions; global existence of solutions; chemotaxis; BEHAVIOR; MIGRATION; STABILITY; SYSTEM;

D O I：

10.1142/S021820251950026X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a hyperbolic-elliptic system on a network which arises in biological models involving chemotaxis. We also consider suitable transmission conditions at internal points of the graph which on one hand allow discontinuous density functions at nodes, and on the other guarantee the continuity of the fluxes at each node. Finally, we prove local and global existence of non-negative solutions - the latter in the case of small (in the L-1-norm) initial data - as well as their uniqueness.

引用

页码：1465 / 1509

页数：45

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