论文信息 - Virtual mass and polarization

Virtual mass and polarization

In this paper we deal with two classical problems of Potential Theory arising in Hydrodynamics and in the Theory of Electricity, respectively. They are the problems of virtual mass and polarization. In order to understand the dual character of these problems, we shall proceed in a more general way, studying certain formal and other interconnections of the Neumann and Dirichlet problems. The chief definitions, problems, and results are formulated in the somewhat extended introductory Chapter I. This investigation was carried out under the sponsorship of the Office of Naval Research to which a preliminary report on this subject was submitted (April 17, 1948).

G. Szegö | G. Szegö | M. Schiffer | M. Schiffer

[1] J. B. Díaz,et al. The Torsional Rigidity and Variational Methods , 1948 .

[2] S. Bergman,et al. A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order , 1947 .

[3] G. Pólya,et al. Inequalities for the Capacity of a Condenser , 1945 .

[4] W. M. Hicks. V. The motion of two spheres in a fluid , 1879, Proceedings of the Royal Society of London.

[5] On the capacity of a condenser , 1945 .

[6] Max Shiffman,et al. The flow of an ideal incompressible fluid about a lens , 1947 .

[7] G. Pólya. A Minimum Problem About the Motion of a Solid Through a Fluid. , 1947, Proceedings of the National Academy of Sciences of the United States of America.