The Euler Equations and Non-Local Conservative Riccati Equations
نویسنده
چکیده
The solutions we present have infinite kinetic energy and blow up in finite time. Blow up of other similar infinite energy solutions of Euler equations has been proved before ([1], [2]). The particular type of solution we will describe was proposed in ([3]). The Eulerian-Lagrangian approach we take ([4]) is not restricted to this particular case, but exact integration of the equations is. We will consider a two dimensional basic square Q of side L. The particular form of the solutions ([3]) is
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تاریخ انتشار 1999