Local existence and global nonexistence results for an integro-differential diffusion system with nonlocal nonlinearities
Borikhanov M.B. Torebek B.T.
30 January 2021John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2021#44Issue 21796 - 1811 pp.
In the present paper, initial problem for the integro-differential diffusion system with nonlocal nonlinear sources is considered. The results on existence of local mild solutions and nonexistence of global weak solution to the nonlinear integro-differential diffusion system are presented.
blow-up , Fujita-type critical exponents , global weak solution , integro-differential diffusion system , local existence
Text of the article Перейти на текст статьи
Al-Farabi Kazakh National University, Al-Farabi ave. 71, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics Krijgslaan 281, Building S8, Ghent, B 9000, Belgium
RUDN University, Moscow, 117198, Russian Federation
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
Department of Mathematics: Analysis
RUDN University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026