The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension
DOI:
https://doi.org/10.15407/mag10.01.003Ключові слова:
уравнение Лапласа, задачи со свободными границами, задача Маскета, весовые пространства Гельдера, феномен времени ожидания.Анотація
Изучается задача Маскета без учета поверхностного натяжения свободной границы. Неизвестная граница в начальный момент времени имеет угловую точку. Доказывается существование и единственность локального решения в весовых пространствах Гельдера, находятся достаточные условия на начальные данные, при которых существует феномен "времени ожидания".Mathematics Subject Classification: 35R35 (primary); 35J25, 35B65 (secondary).
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