Journal
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS
Volume 13, Issue 4, Pages 297-331Publisher
INT PRESS BOSTON, INC
DOI: 10.4310/DPDE.2016.v13.n4.a2
Keywords
Degenerate parabolic equations; semi-wavefront solutions; collective movements; crowd dynamics
Categories
Funding
- project Balance Laws in Modeling of Physical, Biological and Industrial Processes of GNAMPA
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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.
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