DCDS
The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body
Reinhard Farwig Ronald B. Guenther Enrique A. Thomann Šárka Nečasová
We derive the fundamental solution of the linearized problem of the motion of a viscous fluid around a rotating body when the axis of rotation of the body is not parallel to the velocity of the fluid at infinity.
keywords: Navier-Stokes problem linearized problem rotating body Fundamental solution wake. translating body
DCDS-S
The Dirichlet to Neumann map - An application to the Stokes problem in half space
Ihsane Bikri Ronald B. Guenther Enrique A. Thomann
We illustrate the use of the Dirichlet to Neumann map for elliptic and parabolic problems in the context of the Stokes problems. An analogous representation to that obtained by Solonnikov in [5] for the case of a sphere is given for the half space problem. The validity of this representation is obtained establishing properties of the $\DtN$ map for the Laplace and Heat operators.
keywords: Dimension theory multifractal analysis. Poincaré recurrences

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