<i>BV</i> solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel-Reference-Cited by-同舟云学术

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

Published:2022-10 Issue:11 Volume:32 Page:2295-2357
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Amadori Debora¹,Christoforou Cleopatra²

Affiliation:

1. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, University of L’Aquila, 67100 L’Aquila, Italy

2. Department of Mathematics and Statistics, University of Cyprus, 1678 Nicosia, Cyprus

Abstract

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 [Formula: see text] 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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202522500543

Reference39 articles.

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2. Global weak solutions for systems of balance laws

3. Global BV solutions and relaxation limit for a system of conservation laws

4. On a Model of Multiphase Flow

5. Global weak solutions for a model of two-phase flow with a single interface

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