Some Problems on a Class of Fluid Dynamical Systems

Name: Some Problems on a Class of Fluid Dynamical Systems
Brand: VDM Verlag Dr. Müller
SKU: 9783639183573
Price: 208.46 PLN
Availability: InStock

Euler-Poisson, Navier-Stokes-Poisson, Euler and Navier-Stokes Equations

Autor: Manwai Yuen

Język:

Oprawa: Miękka

Wydawca: VDM Verlag Dr. Müller

Dostępność: Na zamówienie

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In this monograph, we consider the solutions for a class of fluid dynamical systems, such as the ise...

Informacje o książce

Autor

Manwai Yuen

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2009

strony

EAN

9783639183573

Enbook ID

06826545

Wydawca

VDM Verlag Dr. Müller

Waga

124

Wymiary

150 x 220 x 5

Pełny opis

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. As these systems share some similar mathematical structures, we would like to find the relationship between them, such as some blowup and stability phenomena. 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. Then, the blowup rates of the solutions are studied. The special solutions for the constant pressure systems are also covered. And some special blowup solutions for these systems in radially symmetry are given. After that, the general existence of blowup solutions for the Euler system with constant pressure is obtained. In addition, we present a special blowup solution for the Euler system. The stabilities of the Euler-Poisson equations are also considered. Some open problems are discussed on the 3 dimensional Euler-Poisson equations in the end.

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Some Problems on a Class of Fluid Dynamical Systems

Euler-Poisson, Navier-Stokes-Poisson, Euler and Navier-Stokes Equations

Informacje o książce

Pełny opis

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