Reaction-diffusion equations with spatially distributed hysteresis

This paper deals with reaction-diffusion equations involving a hysteretic discontinuity in the source term, which is defined at each spatial point. In particular, such problems describe chemical reactions and biological processes in which diffusive and nondiffusive substances interact according to hysteresis law. We find sufficient conditions that guarantee the existence and uniqueness of solutions as well as their continuous dependence on initial data. © 2013 Society for Industrial and Applied Mathematics.

Авторы
Gurevich P. 1, 2 , Shamin R.3 , Tikhomirov S.1
Редакторы
-
Издательство
-
Номер выпуска
3
Язык
Английский
Страницы
1328-1355
Статус
Опубликовано
Подразделение
-
Номер
-
Том
45
Год
2013
Организации
  • 1 Mathematical Institute i, Free University of Berlin, Berlin 14195, Germany
  • 2 Peoples' Friendship University of Russia, Russian Federation
  • 3 Institute of Marine Geology and Geophysics, Russian Academy of Sciences-Far Eastern Branch, Yuzhno-Sakhalinsk 693022, Russian Federation
Ключевые слова
Reaction-diffusion equation; Spatially distributed hysteresis; Well-posedness
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/1990/