BV solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel

被引：9

作者：

Amadori, Debora ^{[1
]}

Christoforou, Cleopatra ^{[2
]}

机构：

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

[2] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2022年 / 32卷 / 11期

关键词：

BV weak solutions; global existence; vacuum; time-asymptotic; front tracking; self-organized dynamics; flocking; COMPRESSIBLE EULER EQUATIONS; GLOBAL WEAK SOLUTIONS; HYPERBOLIC SYSTEMS; BALANCE LAWS; DYNAMICS; LIMIT; BEHAVIOR; PARTICLE;

D O I：

10.1142/S0218202522500543

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in one-space dimension and establish global existence of entropy weak solutions with concentration to the Cauchy problem for any BV initial data that has finite total mass confined in a bounded interval and initial density uniformly positive therein. In addition, under a suitable condition on the initial data, we show that entropy weak solutions with concentration admit time-asymptotic flocking.

引用

页码：2295 / 2357

页数：63

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