Asymptotics semiclassically concentrated on curves for the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation; Journal of Physics A: Mathematical and Theoretical; Vol. 49, № 30
| Parent link: | Journal of Physics A: Mathematical and Theoretical: Scientific Journal Vol. 49, № 30.— 2016.— [305203, 18 p.] |
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| Κύριος συγγραφέας: | |
| Συλλογικό Έργο: | , |
| Άλλοι συγγραφείς: | , |
| Περίληψη: | Title screen In this paper we construct asymptotic solutions for the nonlocal multidimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation in the class of functions concentrated on a one-dimensional manifold (curve) using a semiclassical approximation technique. We show that the construction of these solutions can be reduced to solving a similar problem for the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov in the class of functions concentrated at a point (zero-dimensional manifold) together with an additional operator condition. The general approach is exemplified by constructing a two-dimensional two-parametric solution, which describes quasi-steady-state patterns on a circumference. Режим доступа: по договору с организацией-держателем ресурса |
| Γλώσσα: | Αγγλικά |
| Έκδοση: |
2016
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| Διαθέσιμο Online: | http://dx.doi.org/10.1088/1751-8113/49/30/305203 |
| Μορφή: | Ηλεκτρονική πηγή Κεφάλαιο βιβλίου |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=649966 |