A sufficient condition for a finite-time $ L_2 $ singularity of the 3d Euler Equation
| dc.creator | He, Xinyu | |
| dc.date | 2002-09-24 | |
| dc.date.accessioned | 2026-07-07T04:51:11Z | |
| dc.date.available | 2026-07-07T04:51:11Z | |
| dc.description | A sufficient condition is derived for a finite-time $L_2$ singularity of the 3d incompressible Euler equations, making appropriate assumptions on eigenvalues of the Hessian of pressure. Under this condition $\lim_{t \to T_*} \sup | \frac{D ø} {Dt} |_{L_2(\vO)} = \infty$, where $~ \vO \subset \R3$ moves with the fluid. In particular, $|ø|$, $|§_{ij}| , and $|¶_{ij}|$ all become unbounded at one point $(x_1,T_1)$, $T_1$ being the first blow-up time in $L_2$. | |
| dc.description | AMS_Tex, 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209323 | |
| dc.identifier | http://arxiv.org/abs/math/0209323 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65058 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 76B03 76D05 | |
| dc.title | A sufficient condition for a finite-time $ L_2 $ singularity of the 3d Euler Equation | |
| dc.type | text |