2017/02/17 by Andrea Corli, Corli, Andrea, Lorenzo di Ruvo +3
Engineering · Mathematics · Medicine · #35C07 #35K55 (Secondary) #35K65 (Primary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Slime Mold and Myxomycetes Research #math.AP #msc:35C07 #msc:35K55 #msc:35K65
paper · pdf · doi:10.48550/arxiv.1702.05278
29 pages
arxiv created 2017/02/17 · openalex publication_date 2017/02/17 · arxiv updated 2017/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a parabolic partial differential equation that can be understood as a simple model for crowds flows. Our main assumption is that the diffusivity and the source/sink term vanish at the same point; the nonhomogeneous term is different from zero at any other point and so the equation is not monostable. We investigate the existence, regularity and monotone properties of semi-wavefront solutions as well as their convergence to wavefront solutions.