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Wandering solutions of Euler's D-2 equation - MaRDI portal

Wandering solutions of Euler's D-2 equation (Q1178106)

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scientific article; zbMATH DE number 22841
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Wandering solutions of Euler's D-2 equation
scientific article; zbMATH DE number 22841

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    Wandering solutions of Euler's D-2 equation (English)
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    26 June 1992
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    The author proves that the flow associated with the Euler problem \[ (\partial v/\partial t)+v\nabla v=-\nabla p,\quad\text{div} v=0, \] \(\langle n,v\rangle=0\) (on \(\partial\Omega\times\mathbb{R})\), \(v(0,x)=\varphi(x)\) (in \(\Omega)\) does not have the domain restoration property in \(C^ 1\).
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    domain restoration property
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