On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain. (English) Zbl 1397.35179
Summary: This paper deals with the local well-posedness of free boundary problems for the Navier-Stokes equations in the case where the fluid initially occupies an exterior domain \(\Omega\) in \(N\)-dimensional Euclidian space \(\mathbb{R}^N\).
MSC:
| 35Q30 | Navier-Stokes equations |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 35R35 | Free boundary problems for PDEs |
| 76D03 | Existence, uniqueness, and regularity theory for incompressible viscous fluids |
Keywords:
exterior domains; Navier-Stokes equations; free boundary problem; without surface tension; local well-posedness; maximal \(L_p-L_q\) regularity; weak Dirichet problemReferences:
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