On an eigenvalue problem arising in the study of the stability of ocean currents
β Scribed by Michael Renardy
- Book ID
- 105014956
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 269 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0044-2275
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The existence of a weak solution of a twoβdimensional nonβstationary freeβboundary problem related to flame propagation is established. The main feature of the problem is that the nonlinear coupling of the two parabolic equations occur on the free boundary and has exponential growth.
Instability of a certain flow between heated vertical planes arises when a convective parameter y exceeds a critical value yC obtainedfrom the solution of a third-order eigenvalue problem. This problem involves a logarithmic singularity at the origin and an accurate determination of yC is achieved b