The Stochastic Linear Oskolkov Model of the Oil Transportation by the Pipeline

DOI10.1007/978-3-319-12145-1_20zbMath1332.60104OpenAlexW2181982354MaRDI QIDQ3460770

Ekaterina Aleksandrovna Soldatova, Sofiya Aleksandrovna Zagrebina, Georgiĭ Anatol'evich Sviridyuk

Publication date: 8 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12145-1_20

zbMATH Keywords

Wiener processgeometric graphadditive white noisestochastic Sobolev type equationslinear Oskolkov equationsoil transportation model

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Applications of operator theory in probability theory and statistics (47N30)

Related Items (4)

The Non-Classical Models of Mathematical Physics the Multipoint Initial-Final Value Condition ⋮ Sobolev-Type Systems and Applied Problems ⋮ Optimal Control of Solutions to the Initial-Final Problem for the Sobolev Type Equation of Higher Order ⋮ The multipoint initial-final value condition for the Hoff equations on geometrical graph in spaces of \(\mathbf{K}\)-``noises

Cites Work

• The Showalter-Sidorov problem as a phenomena of the Sobolev-type equations
• Global and stochastic analysis with applications to mathematical physics
• Operator theory. Nonclassical problems
• Abstract stochastic equations. II: Solutions in spaces of abstract stochastic distributions.
• The linear Sobolev-type equations with relatively \(p\)-bounded operators and additive white noise
• Hoff equations on graphs
• Linear Sobolev type equations and degenerate semigroups of operators
• Blow-up in Nonlinear Sobolev Type Equations
• The Dynamical Models of Sobolev Type with Showalter - Sidorov Condition and Additive "Noise"
• Stochastic Equations in Infinite Dimensions
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