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

Yuen, Manwai

 
9783639183573: Some Problems on a Class of Fluid Dynamical Systems: Euler-Poisson, Navier-Stokes-Poisson, Euler and Navier-Stokes Equations
Couverture souple
ISBN 10 : 3639183576 ISBN 13 : 9783639183573
Editeur : VDM Verlag, 2009

Synopsis

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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À propos de l?auteur

The author obtained BSc with 1st class honors and MPhil from Department of Mathematics, City University of Hong Kong, and MSc and PGDE from The Chinese University of Hong Kong. Currently, he is a fulltime PhD student under the supervision of Prof. Kwong Man Kam, in Department of Applied Mathematics, The Hong Kong Polytechnic University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag
Date d'édition
2009
Langue
anglais
ISBN 10 
3639183576
ISBN 13 
9783639183573
Reliure
Broché
Nombre de pages
80
Coordonnées du fabricant
non disponible
Personne responsable
non disponible