Topics in mathematical fluid mechanics : Cetraro, Italy 2010
著者
書誌事項
Topics in mathematical fluid mechanics : Cetraro, Italy 2010
（Lecture notes in mathematics, 2073 . CIME foundation subseries）
Springer, c2013
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注記
Other authors: Arnaud Debussche, Giovanni P. Galdi, Michael Růžička, Gregory Seregin
"Fondazione CIME Roberto Conti"
"The series of lectures delivered at the CIME school on 'Topics in mathematical fluid mechanics,' in Cetraro, September 2010"--Pref
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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