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Examples of singular limits in hydrodynamics. (English) Zbl 1205.35230
Dafermos, C.M.(ed.) et al., Handbook of differential equations: Evolutionary equations. Vol. III. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-52848-3/hbk). Handbook of Differential Equations, 195-275 (2007).
Summary: This chapter is devoted to the study of some asymptotic problems in hydrodynamics. In particular, we review results about the inviscid limit, the compressible-incompressible limit, the study of rotating fluids at high frequency, the hydrodynamic limit of the Boltzmann equation as well as some homogenization problems in fluid mechanics. For the entire collection see [Zbl 1179.35003].

35Q35PDEs in connection with fluid mechanics
35Q20Boltzmann equations
76P05Rarefied gas flows, Boltzmann equation
76E07Rotation (hydrodynamic stability)
76M45Asymptotic methods, singular perturbations (fluid mechanics)