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- W3131912699 abstract "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." @default.
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- W3131912699 date "2021-02-02" @default.
- W3131912699 modified "2023-09-23" @default.
- W3131912699 title "Saturated Fronts in Crowds Dynamics" @default.
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- W3131912699 doi "https://doi.org/10.1515/ans-2021-2118" @default.
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