The Processes of Heat and Mass Transfer in Biomaterials Limited by Nanoscale Two-Layer Membrane
The article considers the boundary value problem for the Laplace equation in a half-cylinder with base in the form of a two-layer film (membrane). This task is of great interest in problems of biology because all biological organisms on their border have a multilayer protective film through which the exchange of substances occurs. The membrane discussed in the article consists of two strongly and weakly permeable layers. On the membrane there is a set to a generalized boundary condition. On the lateral surface of the half-cylinder there is a set to the Dirichlet condition. The solution is obtained in the form of Fourier-Bessel, which converges fast enough.