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

Author: Peter Constantin; Gregory Seregin; Michael Růžička; Giovanni P Galdi; Arnaud Debussche
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Series: Lecture Notes in Mathematics, 2073; Lecture Notes in Mathematics, 2073.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter Constantin; Gregory Seregin; Michael Růžička; Giovanni P Galdi; Arnaud Debussche
ISBN: 9783642362972 3642362974
OCLC Number: 849296891
Description: 1 online resource (IX, 313 pages).
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.
Series Title: Lecture Notes in Mathematics, 2073; Lecture Notes in Mathematics, 2073.
Responsibility: by Peter Constantin, Arnaud Debussche, Giovanni P. Galdi, Michael Růžička, Gregory Seregin.

Abstract:

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.

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