Article
Article name Single-Layer Films on the Boundary of the Circle for the Poisson Equation
Authors Kholodovsky S.Y. Doctor of Physics and Mathematics, hol47@yandex.ru
Honina M.G. Student, mariahonina28@gmail.com
Bibliographic description Kholodovskii S. Ye., Honina M. G. Single-Layer Films on the Boundary of the Circle for the Poisson Equation // Scholarly Notes of Transbaikal State University. 2019. Vol. 14, No. 3. PP. 31-40. DOI: 10.21209/2308-8761-2019-14-3-31-40.
Section PROBLEMS OF MATHEMATICAL PHYSICS. ANALYTICAL METHODS
UDK 517.956
DOI 10.21209/2308-8761-2019-14-3-31-40
Article type
Annotation Boundary value problems for the Poisson equation in a circle bounded by a weakly or strongly permeable on films are derived. Derived boundary conditions on films. The derived theorems of existence and uniqueness are proved. Solutions of boundary value problems are obtained in quadratures.
Key words boundary value problems, weakly permeable film, strongly permeable film, method of convolution of Fourier expansions
Article information
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Full articleSingle-Layer Films on the Boundary of the Circle for the Poisson Equation