ISSN:0025-5793    

DOI:10.1112/S0025579300009979

出版商:London Mathematical Society    

年代:1980

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300009980

出版商:London Mathematical Society    

年代:1980

数据来源: WILEY

摘要:

AbstractAn exact solution for the velocity field induced by the slow rolling motion of a sphere in contact with a permeable surface is derived. The porous solid and the viscous fluid each occupies a semi‐infinite space.It is shown that, by the use of conformal mapping, the problem is reduced to a fourth order ordinary linear boundary value problem. As the permeability of the porous body diminishes the important functionals,e.g. the force and torque resisting the rolling motion of the sphere, are divergent. The nature of this divergence is found and the dependence on the permeability of the porous solid is explicitly evaluated.

ISSN:0025-5793    

DOI:10.1112/S0025579300009992

出版商:London Mathematical Society    

年代:1980

数据来源: WILEY

摘要:

AbstractIt is shown that a convex bodyKtilesEdby translation if, and only if,Kis a centrally symmetricd‐polytope with centrally symmetric facets, such that every belt ofK(consisting of those of its facets which contain a translate of a given (d – 2)‐face) has four or six facets. One consequence of the proof of this result is that, ifKtilesEdby translation, thenKadmits a face‐to‐face, and hence a lattice tiling.

ISSN:0025-5793    

DOI:10.1112/S0025579300010007

出版商:London Mathematical Society    

年代:1980

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300010019

出版商:London Mathematical Society    

年代:1980

数据来源: WILEY