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- W2170878350 abstract "We consider the Cauchy problem for the two-dimensional vorticity equation. We show that the solution ω behaves like a constant multiple of the Gauss kernel having the same total vorticity as time tends to infinity. No particular structure of initial data ω0=ω(x, 0) is assumed except the restriction that the Reynolds numberR=∝|ω0|dx/v is small, wherev is the kinematic viscosity. Applying a time-dependent scale transformation, we show a stability of Burgers' vortex, which physically implies formation of a concentrated vortex." @default.
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- W2170878350 date "1988-12-01" @default.
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- W2170878350 title "Large time behavior of the vorticity of two-dimensional viscous flow and its application to vortex formation" @default.
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- W2170878350 doi "https://doi.org/10.1007/bf01218384" @default.
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