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Heteroclinic double layers for the vector Allen-Cahn and Fisher-Kolmogorov P.D.E
- Prelegent(ci)
- Panayotis Smyrnelis
- Afiliacja
- Basque Center for Applied Mathematics
- Termin
- 10 marca 2022 12:30
- Informacje na temat wydarzenia
- Zoom - szczegóły pod abstraktem
- Seminarium
- Seminarium Zakładu Równań Fizyki Matematycznej
The first constructions of heteroclinic double layers for the vector Allen-Cahn P.D.E. are due to Alama-Bronsard-Gui (1997), and Schatzman (2002). It is an important result establishing also the existence of two dimensional minimal solutions. I will present a method applicable to construct layered solutions for a large class of P.D.E. The idea is to obtain the layered solution as a heteroclinic orbit taking its values in a space of functions. In particular, the method applies to the vector Fisher-Kolmogorov P.D.E. which has mainly be studied in the O.D.E. context.
Zoom:
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