Theory and Applications of Nonviscous Fluid Flows

Theory and Applications of Nonviscous Fluid Flows
The purpose of this book is to present a panorama of model problems g- erning the various Newtonian ?uid ?ows and the signi?cant features of their solutions. The book is essentially devoted to nonviscous (inviscid) Eulerian ?uid ?ow and is divided into nine chapters. Theideaofwritingthisbookwasmotivated?rstbythefactthat,although there are many interesting books on ?uid dynamics, no recent one, to our knowledge, is oriented toward deep theoretical analysis and modelling and is directly connected to the speci?c problems encountered by ?uid dynamicians who are also confronted with various applications in hydro-aerodynamics, acoustics, geophysics, and environmental sciences. On the other hand, the rigorous treatment of ?uid dynamics equations by applied mathematicians is a very closed topic due in large part to the technical nature of the mat- matical investigations, often phrased in the unfamiliar language of abstract functional analysis. It is obvious that such investigations by applied mat- maticians are part of theoretical/mathematical ?uid dynamics, but, indeed, because of the very simpli?ed physical formulations, their impacts are weak.

This book fills a gap between the difficult to understand mathematical literature and the vast literature on computational aspects of fluid dynamics