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- W3183706003 abstract "We consider a reaction–diffusion equation with a convection term in one space variable, where the diffusion changes sign from the positive to the negative and the reaction term is bistable. We study the existence of wavefront solutions, their uniqueness and regularity. The presence of convection reveals several new features of wavefronts: according to the mutual positions of the diffusivity and reaction, profiles can occur either for a single value of the speed or for a bounded interval of such values; uniqueness (up to shifts) is lost; moreover, plateaus of arbitrary length can appear; profiles can be singular where the diffusion vanishes." @default.
- W3183706003 created "2021-08-02" @default.
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- W3183706003 date "2022-10-01" @default.
- W3183706003 modified "2023-10-02" @default.
- W3183706003 title "Diffusion–convection reaction equations with sign-changing diffusivity and bistable reaction term" @default.
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- W3183706003 doi "https://doi.org/10.1016/j.nonrwa.2022.103579" @default.
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