By Josef Malek,Jindrich Necas,Mirko Rokyta

ISBN-10: 3540677860

ISBN-13: 9783540677864

This e-book involves six survey contributions which are excited by numerous open difficulties of theoretical fluid mechanics either for incompressible and compressible fluids. the 1st article "Viscous flows in Besov areas" by way of M region Cannone advert­ attire the matter of world life of a uniquely outlined option to the third-dimensional Navier-Stokes equations for incompressible fluids. between others the subsequent subject matters are intensively taken care of during this contribution: (i) the systematic description of the areas of preliminary stipulations for which there exists a different neighborhood (in time) resolution or a distinct worldwide answer for small info, (ii) the lifestyles of ahead self-similar strategies, (iii) the relation of those effects to Leray's susceptible ideas and backward self-similar ideas, (iv) the extension of the implications to additional nonlinear evolutionary difficulties. specific awareness is paid to the serious areas which are invariant lower than the self-similar rework. For small enough Reynolds numbers, the conditional balance within the experience of Lyapunov can also be studied. the object is endowed by means of fascinating own and old reviews and an exhaustive bibliography that provides the reader a whole photo approximately to be had literature. The papers "The dynamical procedure method of the Navier-Stokes equa­ tions for compressible fluids" via Eduard Feireisl, and "Asymptotic difficulties and compressible-incompressible limits" by way of Nader Masmoudi are dedicated to the worldwide (in time) homes of strategies to the Navier-Stokes equa­ and 3­ tions for compressible fluids. the worldwide (in time) research of 2 dimensional motions of compressible fluids have been left open for plenty of years.

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Advances in Mathematical Fluid Mechanics: Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, ... Paseky, Czech Republic, Sept. 19-26, 1999 by Josef Malek,Jindrich Necas,Mirko Rokyta


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