The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension
DOI:
https://doi.org/10.15407/mag10.01.003Анотація
Вивчається задача Маскета без урахування поверхневого натягу вільної межи. Невідома межа в початковий час має кутову точку. Доведено існування та єдиність локального за часом розв'язку у вагових просторах Гельдера і знайдено достатні умови на початкові дані, за яких існує феномен "часу очікування".
Mathematics Subject Classification: 35R35, 35J25, 35B65.
Ключові слова:
рівняння Лапласа, задачі з вільними межами, задача Маскета, вагові простори Гельдера, феномен часу очікуванняПосилання
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