Global Weak Solutions of the Navier-Stokes/Fokker-Planck/Poisson Linked Equations
DOI:
https://doi.org/10.15407/mag10.03.267Ключові слова:
уравнение Навье-Стокса, уравнение Фоккера-Планка, уравнение Пуассона, глобальное слабое решение, модифицированный метод Галеркина, теорема Шаудера о неподвижной точке, компактность приближений.Анотація
Рассматривается начально-краевая задача для системы связанных уравнений Навье-Стокса/Фоккера-Планка/Пуассона, описывающей течение вязкой несжимаемой жидкости с высокодисперсной примесью твердых заряженных частиц, подверженных случайным воздействиям, обусловленным тепловым движением молекул жидкости. Доказано существование слабых глобальных решений этой задачи и изучены их свойства.Mathematics Subject Classification: 35A01, 35Q30, 35Q84.
Посилання
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