On a partial solution of the diffusion equation

التفاصيل البيبلوغرافية
العنوان: On a partial solution of the diffusion equation
المؤلفون: V. I. Nefedov, Anri A. Rukhadze, V. I. Krylov
المصدر: Bulletin of the Lebedev Physics Institute. 44:36-39
بيانات النشر: Allerton Press, 2017.
سنة النشر: 2017
مصطلحات موضوعية: symbols.namesake, Diffusion equation, Green's function, Bounded function, Mathematical analysis, symbols, Free boundary problem, Heat equation, Fokker–Planck equation, Boundary value problem, Parabolic partial differential equation, Electronic, Optical and Magnetic Materials, Mathematics
الوصف: 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.
تدمد: 1934-838X
1068-3356
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_________::85a67f804c7a5c17da4c2ae10ed3fa95
https://doi.org/10.3103/s1068335617020038
حقوق: CLOSED
رقم الأكسشن: edsair.doi...........85a67f804c7a5c17da4c2ae10ed3fa95
قاعدة البيانات: OpenAIRE