Periodic travelling wave solutions of a parabolic equation: a monotonicity result |
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| Authors: | Xinfu Chen |
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| Affiliation: | a Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, USA
b Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, 16 route de Gray, 25030 Besançon cedex, France |
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| Abstract: | This paper considers travelling wave solutions of a quasilinear parabolic equation corresponding to the propagation of a front in some striated medium. The striations, whose geometry play a crucial role on the type of solutions obtained, are supposed to be oblique and disposed in a periodic fashion. We show that the speed of such travelling waves depends in a monotonous way on the angle of inclination of the striations. |
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| Keywords: | Periodic travelling wave solutions Propagating fronts Striated medium Quasilinear parabolic equations |
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