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

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.

List 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.

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 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

• Authors: Pete Constantin, Peter Constantin, Arnau Debussche, Arnaud Debussche, Giovann Galdi, Giovanni P. Galdi, Michael R i ka, Michael R¿¿i¿ka, Michael Ruzicka, Michael Růžička, Gregory Seregin
• Assisted by: Beirão da Veiga (Editor), Beirão da Veiga (Editor), Franc Flandoli (Editor), Franco Flandoli (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 25.01.2013
• EAN: 9783642362965
• ISBN: 978-3-642-36296-5
• No. of pages: 313
• Dimensions: 177 mm x 19 mm x 239 mm
• Weight: 512 g
• Illustrations: IX, 313 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis