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 Some Problems on a Class of Fluid Dynamical Systems. Euler-Poisson, Navier-Stokes-Poisson, Euler and Navier-Stokes Equations
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Some Problems on a Class of Fluid Dynamical Systems. Euler-Poisson, Navier-Stokes-Poisson, Euler and Navier-Stokes Equations

автор Manwai Y. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 80        мягкая обложка       
Аннотация:Then, the blowup rates of the solutions are studied. In this monograph, we consider the solutions for a class of fluid dynamical systems, such as the isentropic Euler-Poisson, Navier-Stokes-Poisson, Navier-Stokes, Euler equations. We have constructed the blowup (collapsing) solutions for the Euler-Poisson and Navier-Stokes-Poisson systems and the systems with frictional damping. In particular, the analytical blowup solutions for the 2 dimensional isothermal (? =1) systems are the core result. Some open problems are discussed on the 3 dimensional Euler-Poisson equations in the end. As these systems share some similar mathematical structures, we would like to find the relationship between them, such as some blowup and stability phenomena. In addition, we present a special blowup solution for the Euler system. After that, the general existence of blowup solutions for the Euler system with constant pressure is obtained. And some special blowup solutions for these systems in radially symmetry are given. The stabilities of the Euler-Poisson equations are also considered. The special solutions for the constant pressure systems are also covered.
Автор: Manwai Y.
Издательство: Книга по Требованию
Год:2009
Цена:
1996 руб
Нет в наличии
Поиск: Some Problems on a Class of Fluid Dynamical Systems. Euler-Poisson, Navier-Stokes-Poisson, Euler and Navier-Stokes Equations
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
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