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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Relation between entire solutions and traveling wave solutions of the Allen-Cahn-Nagumo equation




Date(s) : 12/06/2018   iCal
11h00 - 12h00

Propagation phenomena are often observed in many fields including dissipative situations. To characterize the universal profiles of these phenomena, traveling wave solutions and entire solutions play important roles. In this talk we focus on the Allen-Cahn-Nagumo equation, which is a single reaction diffusion equation with bistable nonlinearity. First we discuss the relation between traveling wave solutions and entire solutions among the known results. From the observation of their relation, I will introduce the zipping wave solutions and the entire solution whose level sets are approximately equidistant from any convex set as time goes to – infinity.

http://www.isc.meiji.ac.jp/~nino38/index-en.html

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