On a partial solution of the diffusion equation
العنوان: | On a partial solution of the diffusion equation |
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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 |
تدمد: | 1934838X 10683356 |
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