dedicated to professor hermann sohr on the occasion of his 60th birthday Consider weak solutions w of the Navier Stokes equations in Serrin's class w # L : (0, ; L q (0)) for 2ร:+3รq=1 with 3<q , where 0 is a general unbounded domain in R 3 . We shall show that although the initial and external di
Asymptotic solutions of the Navier-Stokes equations in regions with large local perturbations
โ Scribed by V. Ya. Neiland; V. V. Sychev
- Publisher
- Springer
- Year
- 1969
- Tongue
- English
- Weight
- 683 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0015-4628
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove a theorem on stability of a strong solution of the Navier-Stokes equation with respect to perturbation of the initial velocity in the norm of D(A 1/4 ) (where A is the Stokes operator) and also with respect to certain perturbations of the acting body force. The theorem is applied to obtain
Equations are derived to describe the far-field laminar wake behind a body in incompressible fluid flow with an arbitrary distribution of the free-stream (unperturbed flow) velocity. For certain classes of free-stream flows, analysis of these equations enables various processes in narrow wakes or je