×

zbMATH — the first resource for mathematics

Wandering solutions of Euler’s D-2 equation. (English. Russian original) Zbl 0769.35048
Funct. Anal. Appl. 25, No. 3, 220-221 (1991); translation from Funkts. Anal. Prilozh. 25, No. 3, 70-71 (1991).
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 \(C^ 1\).

MSC:
35Q05 Euler-Poisson-Darboux equations
76D05 Navier-Stokes equations for incompressible viscous fluids
PDF BibTeX XML Cite
Full Text: DOI