Stochastic Wentzel system of free fluid filtration equations on a hemisphere and on its edge
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Deterministic and stochastic Wentzell systems of the Dzekzer equations describing the evolution of the free surface of a filtering fluid in a hemisphere and at its edge are studied. In the deterministic case, the unambiguous solvability of the initial problem for the Wentzell system in a particular constructed Hilbert space is established. In the case of the stochastic system, the theory of Nelson-Glicklich derivatives is used and a stochastic solution is constructed to quantify the change in the free filtration of the fluid.
Stochastic dzekzer equation, system of wentzell equations, the nelson-glicklich derivative
Короткий адрес: https://sciup.org/147244894
IDR: 147244894 | DOI: 10.14529/mmph240403
Список литературы Stochastic Wentzel system of free fluid filtration equations on a hemisphere and on its edge
- Дзекцер, Е.С. Обобщение уравнения движения грунтовых вод со свободной поверхностью / Е.С. Дзекцер // Доклады Академии наук СССР. - 1972. - Т. 202, № 5. - С. 1031-1033.
- Favini, A. Linear Sobolev Type Equations with Relatively p-Sectorial Operators in Space of "Noises" / A. Favini, G.A. Sviridyuk, N.A. Manakova // Abstract and Applied Analysis. - 2015. - Vol. 2015. - P. 697410.
- Favini, A. One class of Sobolev Type Equations of Higher Order with Additive "White Noise" / A. Favini, G.A. Sviridyuk, A.A. Zamyshlyaeva // Communications on Pure and Applied Analysis. - 2016. - Т. 15, № 1. - P. 185-196. EDN: WBYHQT
- Favini, A. Linear Sobolev Type Equations with Relatively p-Radial Operators in Space of "Noises" / A. Favini, G.A. Sviridyuk, M. Sagadeeva // Mediterranean Journal of Mathematics. - 2016. - Vol. 13, no. 6. - P. 4607-4621. EDN: WPETIL
- Favini, A. Multipoint Initial-Final Value Problems for Dynamical Sobolev-Type Equations in the Space of Noises / A. Favini, S.A. Zagrebina, G.A. Sviridyuk // Electronic Journal of Differential Equations. - 2018. - Vol. 2018, no. 128. - P. 1-10.
- Favini, A. The Multipoint Initial-Final Value Condition for the Hoff Equations in Geometrical Graph in Spaces of K-"noises" / A. Favini, S.A. Zagrebina, G.A. Sviridyuk // Mediterr. J. Math. - 2022. - Vol. 19, Iss. 2. - Article no. 53.
- Gliklikh, Yu.E. Global and Stochastic Analysis with Applications to Mathematical Physics / Yu.E. Gliklikh. - Springer, London, Dordrecht, Heidelberg, N.-Y. - 2011. - 436 p. EDN: VSICLJ
- Goncharov, N.S. Non-Uniqueness of Solutions to Boundary Value Problems with Wentzell Condition / N.S. Goncharov, S.A. Zagrebina, G.A. Sviridyuk // Bulletin of the South Ural State University. Series: Mathematimathcal Modeling, Programming and Computer Software. - 2021. - Vol.14, Iss. 4. - P. 102-105.
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