Saturated Fronts in Crowds Dynamics

Abstract: We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be discontinuous. Uniqueness is recovered by requiring an entropy condition, and entropic solutions turn out to be the vanishing-diffusion limits of traveling-wave solutions to the equation with an additional non-degenerate diffusion. Applications to crowds dynamics, which motivated the present research, are also provided.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Saturated Fronts in Crowds Dynamics ; volume:21 ; number:2 ; year:2021 ; pages:303-326 ; extent:24 ; Advanced nonlinear studies ; 21, Heft 2 (2021), 303-326 (gesamt 24)

Contributors, Places and Time

• Creator: Campos, Juan ; Corli, Andrea ; Malaguti, Luisa

Further information

• DOI: 10.1515/ans-2021-2118
• URN: urn:nbn:de:101:1-2405031628591.596348623049
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 11:00 AM CEST