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 consider the two-dimensional incompressible Euler equations. We construct vortex patches with smooth boundary on T^2 and R^2 whose perimeter grows with time.
To prove growth of the perimeter, the main task is to measure the length of a curve in a bulk given by Euler evolution at a certain time; this is much harder ...
Growth of perimeter for vortex patches in a bulk · Kyudong Choi, In-Jee Jeong · Published in Applied Mathematics Letters 4 September 2020 · Mathematics, Physics.
We construct vortex patches with smooth boundary on T2 and R2 whose perimeter grows with time. More precisely, for any constant M>0, we construct a vortex patch ...
We consider the two-dimensional incompressible Euler equations. We construct vortex patches with smooth boundary on T2 and R2 whose perimeter grows with time.
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 construct a vortex ...
Bibliographic details on Growth of perimeter for vortex patches in a bulk.
Sep 4, 2020 · To prove growth of the perimeter, the main task is to measure the length of a curve in a bulk given by Euler evolution at a certain time; this ...
Jeong) Growth of perimeter for vortex patches in a bulk, Applied Math. Letters, 113, 106857 (2021) journal, arxiv. (with M. Kang and A. Vasseur) Global well ...