Multipoint initial-final value problem for the model of Devis with additive white noise
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The evolution of the free surface of the filtering fluid in a reservoir of limited power is modeled by the Davis equation with homogeneous Dirichlet conditions. Depending on the nature of the free term describing the internal source of the liquid, the model will be deterministic or stochastic. The deterministic model has been studied in various aspects by many researchers with different initial (initial-final value conditions). The stochastic model is studied for the first time. The main result is the proof of the unique solvability of the evolutionary model with an additive white noise and a multipoint initial-final value condition.
White noise, wiener k-process, davis model, multipoint initial-final value problem, stochastic model, винеровский k-процесс
Короткий адрес: https://sciup.org/147159421
IDR: 147159421 | DOI: 10.14529/mmp170212
Список литературы Multipoint initial-final value problem for the model of Devis with additive white noise
- Zagrebina S.A., Konkina A.S. The Multipoint Initial-Final Value Condition for the Navier -Stokes Linear Model. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2015, vol. 8, no. 1, pp. 132-136 DOI: 10.14529/mmp150111
- Zagrebina S.A., Soldatova E.A., Sviridyuk G.A. The Stochastic Linear Oskolkov Model of the Oil Transportation by the Pipeline. Semigroups of Operators -Theory and Applications, Bedlewo, Poland, Springer, 2013, pp. 317-325 DOI: 10.1007/978-3-319-12145-1-20
- Melnikova I.V., Filinkov A.I., Alshansky M.A. Abstract Stochastic Equations II. Solutions in Spaces of Abstract Stochastic Distributions. Journal of Mathematical Sciences, 2003, vol. 116, no. 5, pp. 3620-3656 DOI: 10.1023/A:1024159908410
- 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, vol. 2015, Article ID 697410. 8 p DOI: 10.1155/2015/697410
- Sviridyuk G.A., Fedorov V.E. Linear Sobolev Type Equations and Degenerate Semigroups of Operators. Utrecht, Boston, Köln, VSP, 2003 DOI: 10.1515/9783110915501
- Zagrebina S.A. Multipoint Initial-Final Value Problem for the Linear Model of Plane-Parallel Thermal Convection in Viscoelastic Incompressible Fluid. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2014, vol. 7, no. 3, pp. 5-22 DOI: 10.14529/mmp140301
