Small scale creation for solutions of the incompressible two-dimensional Euler equation (Q483236)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small scale creation for solutions of the incompressible two-dimensional Euler equation |
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Small scale creation for solutions of the incompressible two-dimensional Euler equation (English)
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16 December 2014
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The purpose of this article is to construct a two-dimensional Euler equation on the unit disc with smooth initial data, such that the solution has gradient of double exponential growth. The proofs use, among other methods, the Biot-Savart law, and the Green function.
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double exponential growth
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hyperbolic flow
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small scale creation
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two-dimensional incompressible flow
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vorticity gradient growth
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