Topics in Mathematical Fluid Mechanics
Subtitle: Cetraro, Italy 2010, Editors: Hugo Beirão da Veiga, Franco Flandoli
By: by Peter Constantin, Arnaud Debussche, Giovanni P. Galdi, Michael Růžička, Gregory Seregin
Contributors: Debussche, Arnaud; Galdi, Giovanni P.; Růžička, Michael; Seregin, Gregory; SpringerLink (Online service)
Series: Lecture Notes in Mathematics -- 2073
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 313
ISBN-13: 9783642362972
Subjects: Fluid- and Aerodynamics; Mathematics; Engineering Fluid Dynamics; Partial Differential equations; Hydraulic engineering
Description: 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.
Table of contents: title: Fluids and Particles; title: Stochastic Navier-Stokes Equations: well Posedness and Ergodic Properties; title: Topics in the Mathematical Theory of Fluid-Solid Interaction; title: Analysis of Generalized Newtonian Fluids; title: Local Regularity Theory for the Navier-Stokes Equations.