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Some explicit asymptotic formulas for 2D run up problemдоклад на конференции
- Автор: Minenkov D.S.
- Международная Конференция : International Conference Days on Diffraction 2017, June 19 – 23, 2017 St. Petersburg
- Даты проведения конференции: 19-23 июня 2017
- Дата доклада: 22 июня 2017
- Тип доклада: Устный
- Докладчик: Minenkov D.S.
- Место проведения: Санкт-Петербург, Russia
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Аннотация доклада:
The Cauchy problem for 2D wave equation degenerating on the boundary of the domain is considered. Near the boundary characteristics (trajectories) are unbounded in the momentum variables. Recently the modified Maslov canonical operator was defined for this case and asymptotic formulas was obtained (see [1]). Based on these results an explicit asymptotic formulas are obtained near the velocity degeneration line. Using these formulas run up problem is studied for a special family of localized initial perturbations. Work is supported by Russian Science Foundation (project 16-11-10282).
- Добавил в систему: Миненков Дмитрий Сергеевич