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.
|35Q35||PDEs in connection with fluid mechanics|
|76P05||Rarefied gas flows, Boltzmann equation|
|76E07||Rotation (hydrodynamic stability)|
|76M45||Asymptotic methods, singular perturbations (fluid mechanics)|