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

2019/12/27 by Thi Kim Thoa Thieu, Thieu, T. K. Thoa, Matteo Colangeli +3
Engineering · #34D20 #35K55 #35K57 #35Q35 #76S05 #Analysis of PDEs (math.AP) #Evacuation and Crowd Dynamics #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1912.12041

openalex publication_date 2019/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a system of parabolic equations consisting of a double nonlinear\nparabolic equations of Forchheimer type coupled with a semilinear parabolic\nequations. The system describes a fluid-like driven system for active-passive\npedestrian dynamics. The structure of the nonlinearity of the coupling allows\nus to prove the uniqueness of solutions. We provide also stability estimates of\nsolutions with respect to selected parameters.\n

Related

• Weak solvability a fluid-like driven system for active-passive pedestrian dynamics
• Derivation and analysis of continuum models for crossing pedestrian traffic
• Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network
• Parabolic bootstrap for some non-linear equations
• Unique continuation inequalities for the parabolic-elliptic chemotaxis system