- Tytuł:
- On one-dimensional diffusion processes with moving membranes
- Autorzy:
-
Kopytko, Bohdan
Shevchuk, Roman - Powiązania:
- https://bibliotekanauki.pl/articles/2202027.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
diffusion processes with membrane
two-parapeter Feller semigroup
nonlocal boundary conditions
method of potential theory
procesy dyfuzyjne z membraną
dwuparapetowa półgrupa Fellera
nielokalny warunek brzegowy
metoda teorii potencjału - Opis:
- Using the method of the classical potential theory, we construct the two-parameter Feller semigroup associated, on the given interval of the real line, with the Markov proces such that it is a result of pasting together, at some point of the interval, two ordinary diffusion processes given in sub-domains of this interval. It is assumed that the position on the line of boundary points of these sub-domains depends on the time variable. In addition, some variants of the general nonlocal boundary condition of Feller-Wentzell’s type are given in these points. The resulting process can serve as a one-dimensional mathematical model of the physical phenomenon of diffusion in media with moving membranes.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 45--57
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł