A Logarithmic Extensibility Criterion for a Keller–Segel–Navier–Stokes System in a Bounded Domain
Анотація
Розглянуто систему Келлера-Сеґеля-Нав'є-Стокса в тривимірній обмеженій області, доведено логарифмічний критерій руйнування локальних сильних розв'язків, використано $L^{p}$-метод, $L^{\infty}$-метод та оцінку максимальної регулярності параболічного рівняння.
Mathematical Subject Classification 2020:22E46, 53C35, 57S20, 35Q30
Ключові слова:
система Келлера-Сеґеля-Нав'є-Стокса, критерій розриву, обмежена областьПосилання
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