期刊
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
卷 -, 期 66, 页码 1-34出版社
UNIV SZEGED, BOLYAI INSTITUTE
DOI: 10.14232/ejqtde.2020.1.66
关键词
degenerate and doubly degenerate diffusivity; diffusion-convection-reaction equations; traveling-wave solutions; sharp profiles; semi-wavefronts
资金
- Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM)
We consider a scalar parabolic equation in one spatial dimension. The equation is constituted by a convective term, a reaction term with one or two equilibria, and a positive diffusivity which can however vanish. We prove the existence and several properties of traveling-wave solutions to such an equation. In particular, we provide a sharp estimate for the minimal speed of the profiles and improve previous results about the regularity of wavefronts. Moreover, we show the existence of an infinite number of semi-wavefronts with the same speed.
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