Uniqueness and stability with respect to parameters of solutions to a fluid-like driven system for active-passive pedestrian dynamics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:495

Article

Thoa Thieu, T. K.^1,3  Colangeli, Matteo²  Muntean, Adrian^1,4 

[1] Karlstad Univ, Dept Math & Comp Sci, Karlstad, Sweden

[2] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, Laquila, Italy

[3] Gran Sasso Sci Inst, Dept Math, Laquila, Italy

[4] Karlstad Univ, Ctr Soc Risk Res CSR, Karlstad, Sweden

关键词: Pedestrian flows;    Nonlinear coupling;    Forchheimer flows;    Double nonlinear parabolic equation;   

DOI  :  10.1016/j.jmaa.2020.124702

来源: Elsevier

【 摘 要 】

We study a system of parabolic equations consisting of a double nonlinear parabolic equation of Forchheimer type coupled with a semilinear parabolic equation. The system describes a fluid-like driven system for active-passive pedestrian dynamics. The structure of the nonlinearity of the coupling allows us to prove the uniqueness of solutions. We provide also the stability estimate of solutions with respect to selected parameters. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free