Cordoba D
Department of Mathematics, Princeton University, Princeton, NJ 08544-1000, USA.
Proc Natl Acad Sci U S A. 1997 Nov 25;94(24):12769-70. doi: 10.1073/pnas.94.24.12769.
We study solutions of the two-dimensional quasi-geostrophic thermal active scalar equation involving simple hyperbolic saddles. There is a naturally associated notion of simple hyperbolic saddle breakdown. It is proved that such breakdown cannot occur in finite time. At large time, these solutions may grow at most at a quadruple-exponential rate. Analogous results hold for the incompressible three-dimensional Euler equation.
我们研究涉及简单双曲鞍点的二维准地转热活性标量方程的解。存在一个与简单双曲鞍点破裂自然相关的概念。证明了这种破裂不会在有限时间内发生。在长时间时，这些解最多以四重指数速率增长。对于不可压缩三维欧拉方程也有类似结果。
