Hele Shaw Flow between Flexible and Rigid Walls

抄録

Partial differential equations, which govern flows in a Hele Shaw type cell, are derived, where flows are driven by deforming one side wall made of an elastic plate or a pliant membrane. The equations are similar to the diffusion equation but contain a cubic or a square of the Laplacian operator. Possibilities are suggested to apply these equations to fundamental researches of some recent problems, such as the physiolosical micro-circulation, the liquid-crystal device for computer and the cell biology.