Rigorous bounds on scaling laws in fluid dynamics. (English) Zbl 1393.35178
Feireisl, Eduard (ed.) et al., Mathematical thermodynamcis of complex fluids, Cetraro, Italy, June 2015. Lecture notes. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-67599-2/pbk; 978-3-319-67600-5/ebook). Lecture Notes in Mathematics 2200. CIME Foundation Subseries, 101-145 (2017).
Summary: Consider a fluid between two parallel plates of unit distance, heated from below and cooled from above with unit temperature difference. The dynamics inside the container are well described by a system of partial differential equations.
For the entire collection see [Zbl 1394.35003].
For the entire collection see [Zbl 1394.35003].
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 76D07 | Stokes and related (Oseen, etc.) flows |
| 76R10 | Free convection |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
