On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder
classification
🧮 math.AP
keywords
vorticitycylinderequationeulerinfinitemathbbsupportwhen
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We consider the incompressible 2D Euler equation in an infinite cylinder $\mathbb{R}\times \mathbb{T}$ in the case when the initial vorticity is non-negative, bounded, and compactly supported. We study $d(t)$, the diameter of the support of vorticity, and prove that it allows the following bound: $d(t)\leq Ct^{1/3}\log^2 t$ when $t\rightarrow\infty$.
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