On a partial solution of the diffusion equation


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The process is considered of establishing the equilibrium spatial distribution of the concentration of particles in a one-dimensional bounded space region, subjected to a constant force normal to impermeable region boundaries. This process is described by the solution of the third boundary-value problem with homogeneous boundary conditions for the two-dimensional parabolic equation. It is shown that the found solution to the seemingly well-known problem of mathematical physics, but being of great importance in applications, cannot be obtained using theGreen’s function of this problem, known in the literature.

作者简介

V. Krylov

Far Eastern State Transport University

Email: rukh@fpl.gpi.ru
俄罗斯联邦, ul. Sarysheva 47, Khabarovsk, 680021

A. Rukhadze

Prokhorov General Physics Institute

编辑信件的主要联系方式.
Email: rukh@fpl.gpi.ru
俄罗斯联邦, ul. Vavilova 38, Moscow, 119991

V. Nefedov

Moscow State Technical University of Radio Engineering, Electronics, and Automation

Email: rukh@fpl.gpi.ru
俄罗斯联邦, pr. Vernadskogo 78, Moscow, 119454

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