| Autor: |
Ceci, Shaun, Hagen, Thomas |
| Rok vydání: |
2011 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
In this work, we analyze a Stokes problem arising in the study of the Navier-Stokes flow of a liquid jet. The analysis is accomplished by showing that the relevant Stokes operator accounting for a free surface gives rise to a sectorial operator which generates an analytic semigroup of contractions. Estimates on solutions are established using Fourier methods. The result presented is the key ingredient in a local existence and uniqueness proof for solutions of the full nonlinear problem. |
| Databáze: |
arXiv |
| Externí odkaz: |
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