Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity

Paul Deuring

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arXiv · 1709.01385

Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity

Paul Deuring

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Abstract

We present pointwise space-time decay estimates for the velocity part of solutions to the time-dependent Oseen system in 3D, with Dirichlet boundary conditions and vanishing velocity at infinity. In addition, similar estimates are derived for solutions to the time-dependent incompressible Navier-Stokes system with Oseen term, and for solutions to the stability problem associated with the stationary incompressible Navier-Stokes system with Oseen term.

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Paul Deuring. 2017-09-05. Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity. https://arxiv.org/abs/1709.01385

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