Mathematics – Analysis of PDEs
Scientific paper
2002-09-24
Mathematics
Analysis of PDEs
AMS_Tex, 8 pages
Scientific paper
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 $\lim_{t \to T_*} \sup | \frac{D \o} {Dt} |_{L_2(\vO)} = \infty$, where $~ \vO \subset \R3$ moves with the fluid. In particular, $|{\o}|$, $|\S_{ij}| , and $|\P_{ij}|$ all become unbounded at one point $(x_1,T_1)$, $T_1$ being the first blow-up time in $L_2$.
No associations
LandOfFree
A sufficient condition for a finite-time $ L_2 $ singularity of the 3d Euler Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A sufficient condition for a finite-time $ L_2 $ singularity of the 3d Euler Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A sufficient condition for a finite-time $ L_2 $ singularity of the 3d Euler Equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-612621