RUS  ENG
Full version
JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2023, Volume 15, Issue 3, Pages 15–22 (Mi vyurm561)

Analysis of the stochastic Wentzell system of fluid filtration equations in a circle and on its boundary
N. S. Goncharov, G. A. Sviridyuk

References

1. Barenblatt, G.I., Zheltov, Iu.P., Kochina, I.N., “Basic Concepts in the Theory of Seepage of Homogeneous Liquids in Fissured Rocks [Strata]”, Journal of Applied Mathematics and Mechanics, 24:5 (1960), 1286–1303  crossref  zmath
2. Goncharov N.S., Zagrebina S.A., Sviridyuk G.A., “Non-Uniqueness of Solutions to Boundary Value Problems with Wentzell Condition”, Bulletin of the South Ural State University. Series: Mathematimathcal Modeling, Programming and Computer Software, 14:4 (2021), 102–105  crossref  zmath
3. Favini A., Sviridyuk G.A., Manakova N.A., “Linear Sobolev Type Equations with Relatively P-Sectorial Operators in Space of “Noises””, Abstract and Applied Analysis, 2015 (2015), 697410  crossref  mathscinet  zmath
4. Favini A., Sviridyuk G.A., Zamyshlyaeva A.A., “One Class of Sobolev Type Equations of Higher Order with Additive “White Noise””, Communications on Pure and Applied Analysis, 15:1 (2016), 185–196  crossref  mathscinet  zmath
5. Favini A., Sviridiuk G.A., Sagadeeva M.A., “Linear Sobolev Type Equations with Relatively p-Radial Operators in Space of “Noises””, Mediterranean Journal of Mathematics, 13:6 (2016), 4607–4621  crossref  mathscinet  zmath
6. Favini A., Zagrebina S.A., Sviridiuk G.A., “Multipoint Initial-Final Value Problems for Dynamical Sobolev-Type Equations in the Space of Noises”, Electronic Journal of Differential Equations, 2018 (2018), 128  mathscinet  zmath
7. Favini A., Zagrebina S.A., Sviridiuk G.A., “The Multipoint Initial - Final Value Condition for the Hoff Equations on Geometrical Graph in Spaces of K-“noises””, Mediterranean Journal of Mathematics, 19 (2022), 53  crossref  mathscinet  zmath
8. Lions J.-L., Magenes E., Problemes aux Limites non Homogenes et Applications, v. 1, Travaux et Recherches Mathematiques, 17, Dunod, Paris, 1968, 372 pp.  mathscinet  zmath
9. Wentzell A.D., “On Boundary Conditions For Multidimensional Diffusion Processes”, Theory of Probability and its Applications, 4:2 (1959), 164–177  mathnet  crossref  mathscinet
10. Gliklikh Yu.E., Global and Stochastic Analysis with Applications to Mathematical Physics, Springer, N.Y.–London–Dordrecht–Heidelberg, 2011, 436 pp.  crossref  mathscinet  zmath
11. Kitaeva O.G., Shafranov D.E., Sviridiuk G.A., “Exponential Dichotomies in the Barenblatt-Zheltov-Kochina Model in Spaces of Differential Forms with “Noise””, Bulletin of the South Ural State University. Ser. Mathematical Modelling, Programming and Computer Software (Bulletin SUSU MMCS), 2:12 (2019), 47–57  mathnet  crossref  zmath
12. Goncharov N.S., “Stochastic Barenblatt-Zheltov-Kochina Model on the Interval with Wentzell Boundary Conditions”, Global and Stochastic Analysis, 7:1 (2020), 11–23
13. Sviridyuk G.A., Zamyshlyaeva A.A., Zagrebina S.A., “Multipoint Initial-Final Problem for one Class of Sobolev Type Models of Higher Order with Additive “White Noise””, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software,  11:3 (2018), 103–117  mathnet  crossref  zmath


© Steklov Math. Inst. of RAS, 2026