Beale-Kato-Majda type condition for Burgers equation
| dc.creator | Goldys, Ben | |
| dc.creator | Neklyudov, Misha | |
| dc.date | 2008-02-19 | |
| dc.date | 2008-12-23 | |
| dc.date.accessioned | 2026-07-07T12:21:00Z | |
| dc.date.available | 2026-07-07T12:21:00Z | |
| dc.description | We consider a multidimensional Burgers equation on the torus $\mathbb{T}^d$ and the whole space $\Rd$. We show that, in case of the torus, there exists a unique global solution in Lebesgue spaces. For a torus we also provide estimates on the large time behaviour of solutions. In the case of $\Rd$ we establish the existence of a unique global solution if a Beale-Kato-Majda type condition is satisfied. To prove these results we use the probabilistic arguments which seem to be new. | |
| dc.description | 21 pages, accepted to "Journal of mathematical analysis and applications" | |
| dc.identifier | https://arxiv.org/abs/0802.2733 | |
| dc.identifier | http://arxiv.org/abs/0802.2733 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213232 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35Q35 | |
| dc.title | Beale-Kato-Majda type condition for Burgers equation | |
| dc.type | text |