THE STOCHASTIC SYSTEM OF WENTZELL MOISTURE FILTRATION EQUATIONS ON A HEMISPHERE AND ON ITS EDGE.

Autor: GONCHAROV, NIKITA S., SVIRIDYUK, GEORGY A.
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Zdroj: Global & Stochastic Analysis; Sep2024, Vol. 11 Issue 4, p85-93, 9p
Abstrakt: The deterministic and stochastic Wentzell systems of the Barenblatt – Zheltov – Kochina equations, which describing the process of moisture filtration in a hemisphere and on its boundary are studied. In the deterministic case, the unambiguous solvability of the initial problem for the Wentzel system in a specific constructed Hilbert space is established. In the case of the stochastic system, the Nelson – Glicklich derivative theory is used and a stochastic solution is constructed, which allows us to determine the quantitative change in the geochemical regime of groundwater under pressureless filtration. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index