Singular vorticity solutions of the incompressible Euler equation via inviscid limits
Singular vorticty solutions of the incompressible 3D-Euler equation are constructed which satisfy the BKM criterion (cf. [2]). The construction is done by inviscid limits of vorticity solutions of transformed incompressible Navier Stokes type equations with a damping potential term, where the latter...
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Zusammenfassung: | Singular vorticty solutions of the incompressible 3D-Euler equation are
constructed which satisfy the BKM criterion (cf. [2]). The construction is done
by inviscid limits of vorticity solutions of transformed incompressible Navier
Stokes type equations with a damping potential term, where the latter equations
admit a global regular solution for positive viscosity. The inviscid limit
vorticity solution of the incompressible Euler vorticity equation becomes
singular at a point of the boundary of a finite domain. |
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DOI: | 10.48550/arxiv.1308.6082 |