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Navier’s Slip Problem for Motion of Inhomogeneous Incompressible Fluid-like Bodies

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Abstract

In this paper we are concerned with a flow of inhomogeneous incompressible fluid-like bodies (IIFB). The concept of IIFB is arised from the analysis of a certain type of granular flows. It is esssentially important to assign the so-called ‘slip’ boundary condition due to its behaviour at the surface, thus we take into account the Navier’s slip condition. Here, the theorem on the unique solvability, local in time, is proved.

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  1. Department of Mathematics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, 223-0061, Japan

    Naoto Nakano & Atusi Tani

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  1. Naoto Nakano
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  2. Atusi Tani
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Correspondence to Atusi Tani.

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Communicated by V.A. Solonnikov

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Nakano, N., Tani, A. Navier’s Slip Problem for Motion of Inhomogeneous Incompressible Fluid-like Bodies. J. Math. Fluid Mech. 13, 65–87 (2011). https://doi.org/10.1007/s00021-009-0003-4

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