This paper deals with a nonhomogeneous scalar parabolic equation with possibly degenerate diffusion term; the process has only one stationary state. The equation can be interpreted as modeling collective movements (crowd dynamics, for instance). We show the existence of semi-wavefront solutions for every wave speed; their properties are investigated. Proofs exploit comparison-type techniques and are carried out in the case of one spatial variable; the extension to the general case is straightforward.
Semi-wavefront solutions in models of collective movements with density-dependent diffusivity / Corli, Andrea; Malaguti, Luisa. - In: DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 1548-159X. - STAMPA. - 13:4(2016), pp. 297-331.
Data di pubblicazione: | 2016 |
Titolo: | Semi-wavefront solutions in models of collective movements with density-dependent diffusivity |
Autore/i: | Corli, Andrea; Malaguti, Luisa |
Autore/i UNIMORE: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.4310/DPDE.2016.v13.n4.a2 |
Rivista: | |
Volume: | 13 |
Fascicolo: | 4 |
Pagina iniziale: | 297 |
Pagina finale: | 331 |
Codice identificativo ISI: | WOS:000391902700002 |
Codice identificativo Scopus: | 2-s2.0-85006699111 |
Citazione: | Semi-wavefront solutions in models of collective movements with density-dependent diffusivity / Corli, Andrea; Malaguti, Luisa. - In: DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 1548-159X. - STAMPA. - 13:4(2016), pp. 297-331. |
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