A Note on Singularities of the 3-d Euler Equation
نویسنده
چکیده
In this paper, we consider analytic initial conditions with nite energy, whose complex spatial continuation is a superposition of a smooth background ow and a singular eld. Through explicit calculation in the complex plane, we show that under some assumptions, the solution to the 3-D Euler equation ceases to be analytic in the real domain in nite time. This research was partly supported by the National Aeronautics and Space Administration under NASA Contract No. NAS1-19480 while the author was in residence at the Institute for Computer Applications in Science and Engineering (ICASE). Additional support was provided by the Department of Energy (DEFG02-92ER14270.)
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تاریخ انتشار 1997