Asymptotics semiclassically concentrated on curves for the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation

Asymptotics semiclassically concentrated on curves for the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation

Bibliographic Details
Parent link:Journal of Physics A: Mathematical and Theoretical: Scientific Journal
Vol. 49, № 30.— 2016.— [305203, 18 p.]
Main Author: Levchenko E. A. Evgeny Anatolievich
Corporate Authors: Национальный исследовательский Томский политехнический университет Физико-технический институт Кафедра высшей математики и математической физики, Национальный исследовательский Томский политехнический университет Физико-технический институт Кафедра высшей математики и математической физики Международная лаборатория математической физики
Other Authors: Shapovalov A. V. Aleksandr Vasilyevich, Trifonov A. Yu. Andrey Yurievich
Summary: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
Published: 2016
Subjects:
электронный ресурс
труды учёных ТПУ
уравнение Фишера-Колмогорова-Петровского-Пискунова
приближение
Online Access:http://dx.doi.org/10.1088/1751-8113/49/30/305203
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=649966

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