2014.07.24 17:38
실적년도 | 2014년 |
---|---|
논문구분 | 국외 |
총저자 | Dongho Chae, Peter Constantin, Jiahong Wu |
학술지명 | Journal of Mathematical Fluid Mechanics |
권(Vol.) | |
호(No.) | |
게재년월 | 년 월 |
Impact Factor | |
SCI 등재 | SCIE |
비고 |
We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling
as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity,
this seems to be the first such example. Further, we construct explicit solutions of the 2D Boussinesq equations whose
gradients grow exponentially in time for all time. In addition, we introduce a variant of the 2D Boussinesq equations which
is perhaps a more faithful companion of the 3D axisymmetric Euler equations than the usual 2D Boussinesq equations.
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