We construct vortex patches with smooth boundary on and whose perimeter grows with time. More precisely, for any constant , we construct a vortex patch in whose smooth boundary has length of order 1 at the initial time such that the perimeter grows up to the given constant within finite time.
Sep 4, 2020 · We construct vortex patches with smooth boundary on T^2 and R^2 whose perimeter grows with time. More precisely, for any constant M > 0, we ...
We construct vortex patches with smooth boundary on T 2 and R 2 whose perimeter grows with time. More precisely, for any constant ...
The basic idea is to characterize a given V -state as the unique extremizer of a conserved quantity in an appropriate admissible class. ... ... As is well known ...
Semantic Scholar extracted view of "Growth of perimeter for vortex patches in a bulk" by Kyudong Choi et al.
Sep 4, 2020 · GROWTH OF PERIMETER FOR VORTEX PATCHES IN A BULK. 3. In the proof, when γt = Φ(t, γ0), the increment (in time) of the winding number of the ...
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We consider the two-dimensional incompressible Euler equations. We construct vortex patches with smooth boundary on T2 and R2 whose perimeter grows with ...
Growth of perimeter for vortex patches in a bulk. K Choi, IJ Jeong. Applied ... Infinite growth in vorticity gradient of compactly supported planar vorticity near ...
Growth of perimeter for vortex patches in a bulk File · Choi, Kyudong , Jeong, In-Jee. Article Issue Date2021-03 View5. Global well-posedness of large ...