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EnglishWe 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.
| Data di pubblicazione: | 2017 | |
| Titolo: | Sharp profiles in models of collective movements | |
| Autori: | Corli, Andrea; di Ruvo, Lorenzo; Malaguti, Luisa | |
| Rivista: | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | |
| Keywords: | Collective movements; Crowd dynamics; Degenerate parabolic equations; Semi-wavefront solutions; | |
| Abstract in inglese: | 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. | |
| Digital Object Identifier (DOI): | 10.1007/s00030-017-0460-z | |
| Handle: | http://hdl.handle.net/11392/2379526 | |
| Appare nelle tipologie: | 03.1 Articolo su rivista |
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http://hdl.handle.net/11392/2379526
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