Topics in Mathematical Fluid Mechanics: Cetraro, Italy 2010, Editors: Hugo Beirão da Veiga, Franco Flandoli

by Peter Constantin, Arnaud Debussche, Giovanni P. Galdi, Michael Ruzicka, Gregory Seregin

Overview

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.

Product Details

ISBN-13:	9783642362972
Publisher:	Springer-Verlag New York, LLC
Publication date:	04/03/2013
Series:	Lecture Notes in Mathematics , #2073
Sold by:	Barnes & Noble
Format:	eBook
File size:	8 MB

Table of Contents

Fluids and Particles.- Stochastic Navier-Stokes Equations: well Posedness and Ergodic Properties.- Topics in the Mathematical Theory of Fluid-Solid Interaction.- Analysis of Generalized Newtonian Fluids.- Local Regularity Theory for the Navier-Stokes Equations.