A generalized 2-D Poincaré inequality
| Autor: | Crisciani Fulvio, Cavallini Fabio |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2000 |
| Předmět: | |
| Zdroj: | Journal of Inequalities and Applications, Vol 2000, Iss 4, p 484020 (2000) |
| Druh dokumentu: | article |
| ISSN: | 1025-5834 1029-242X |
| Popis: | Two 1-D Poincaré-like inequalities are proved under the mild assumption that the integrand function is zero at just one point. These results are used to derive a 2-D generalized Poincare inequality in which the integrand function is zero on a suitable arc contained in the domain (instead of the whole boundary). As an application, it is shown that a set of boundary conditions for the quasi geostrophic equation of order four are compatible with general physical constraints dictated by the dissipation of kinetic energy. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|