The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension

Автор(и)

  • B. V. Bazaliy Institute of Applied Mathematics and Mechanics, 74 R. Luxemburg Str., Donetsk 83114, Ukraine
  • N. Vasylyeva Institute of Applied Mathematics and Mechanics, 74 R. Luxemburg Str., Donetsk 83114, Ukraine

DOI:

https://doi.org/10.15407/mag10.01.003

Анотація

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 очікування

Посилання

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Bazaliy, B. V.; Vasylyeva, N. The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension. Журн. мат. фіз. анал. геом. 2014, 10, 3-43.

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