On formation of a locally self-similar collapse in the incompressible Euler equations (Q394016)
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scientific article; zbMATH DE number 6250180
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On formation of a locally self-similar collapse in the incompressible Euler equations |
scientific article; zbMATH DE number 6250180 |
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On formation of a locally self-similar collapse in the incompressible Euler equations (English)
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24 January 2014
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While non-existence of self-similar blow-up for velocities in the case of the Navier-Stokes equation has been extensively addressed in the literature, this subject has not yet been explored so far in the case of the Euler equation. So this interesting paper is welcome, since it is concerned precisely with the local self-similar collapse in the Euler equation, thus confirming several previous numerical results. Specifically, several exclusion results are stated and proved based on the \(L^p\)-condition for velocity or vorticity and for a range of scaling exponents.
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incompressible Euler equation
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self-similar blow-up
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exclusion results
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