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Stability of 2D incompressible flows in R 3
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mucha, Piotr Bogusław |
| Copyright Year | 2008 |
| Abstract | We investigate the global in time stability of regular solutions with large velocity vectors to the evolutionary Navier–Stokes equation in R3. The class of stable flows contains all two-dimensional weak solutions. The only assumption which is required is smallness of the L2-norm of initial perturbation or its derivative with respect to the z-coordinate in the same norm. The magnitude of the rest of the norm of initial datum is not restricted. |
| Starting Page | 2355 |
| Ending Page | 2367 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jde.2008.07.033 |
| Volume Number | 245 |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0703844v1.pdf |
| Alternate Webpage(s) | https://www.mimuw.edu.pl/~pbmucha/publ/2008/stab-r.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jde.2008.07.033 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |