Stochastic Navier-Stokes Equations with Artificial Compressibility in Random Durations | Zendy

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Stochastic Navier-Stokes Equations with Artificial Compressibility in Random Durations

Author(s) -

Hong Yin

Publication year - 2010

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.19

H-Index - 28

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2010/730492

Subject(s) - mathematics , uniqueness , compressibility , bounded function , monotonic function , convergence (economics) , navier–stokes equations , mathematical analysis , incompressible flow , flow (mathematics) , geometry , mechanics , economics , economic growth , physics

The existence and uniqueness of adapted solutions to the backward stochastic Navier-Stokes equation with artificial compressibility in two-dimensional bounded domains are shown by Minty-Browder monotonicity argument, finite-dimensional projections, and truncations. Continuity of the solutions with respect to terminal conditions is given, and the convergence of the system to an incompressible flow is also established

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