On the existence of solutions to the planar exterior Navier Stokes system

Hillairet, Matthieu; Wittwer, Peter

doi:10.1016/j.jde.2013.07.003

Scientific article

English

On the existence of solutions to the planar exterior Navier Stokes system

ContributorsHillairet, Matthieu; Wittwer, Peter

Published inJournal of differential equations, vol. 255, no. 10, p. 2996-3019

Publication date2013

Abstract

We consider the stationary incompressible Navier Stokes equations in the exterior of a disk B⊂R2B⊂R2 with non-zero Dirichlet boundary conditions on the boundary of the disk and zero boundary conditions at infinity. We prove the existence of classical solutions for an open set of boundary conditions without symmetry.

Affiliation entities

Faculté des sciences / Section de physique / Département de physique théorique

Citation (ISO format)

HILLAIRET, Matthieu, WITTWER, Peter. On the existence of solutions to the planar exterior Navier Stokes system. In: Journal of differential equations, 2013, vol. 255, n° 10, p. 2996–3019. doi: 10.1016/j.jde.2013.07.003

Article (Published version)

Identifiers

PID : unige:36390
DOI : 10.1016/j.jde.2013.07.003

Additional URL for this publicationhttp://linkinghub.elsevier.com/retrieve/pii/S0022039613002702

Journal ISSN0022-0396

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On the existence of solutions to the planar exterior Navier Stokes system

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