TY - BOOK AU - Constantin,Peter AU - Debussche,Arnaud AU - Galdi,Giovanni P. AU - Růžička,Michael AU - Seregin,Gregory ED - SpringerLink (Online service) TI - Topics in Mathematical Fluid Mechanics: Cetraro, Italy 2010, Editors: Hugo Beirão da Veiga, Franco Flandoli T2 - Lecture Notes in Mathematics, SN - 9783642362972 AV - QA370-380 U1 - 515.353 23 PY - 2013/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg, Imprint: Springer KW - Mathematics KW - Differential equations, partial KW - Hydraulic engineering KW - Partial Differential Equations KW - Fluid- and Aerodynamics KW - Engineering Fluid Dynamics N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-642-36297-2 ER -