Global φ-attractor for a modified 3D Bénard system on channel-like domains

• Autorzy: O.V. Kapustyan , A.V. Pankov
• Języki publikacji: EN

Abstrakty

EN

In this paper we prove the existence of a global φ-attractor in the weak topology of the natural phase space for the family of multi-valued processes generated by solutions of a nonautonomous modified 3D Bénard system in unbounded domains for which Poincaré inequality takes place.

Słowa kluczowe

EN

Three-dimensional Bénard problem; three-dimensional; Navier-Stokes equations; multi-valued nonautonomous dynamicalsystem; global attractor; unbounded domain

Kategorie tematyczne

• 58C06: Set valued and function-space valued mappings
• 35Q30: Navier-Stokes equations
• 37B25: Lyapunov functions and stability; attractors, repellers
• 35Q35: PDEs in connection with fluid mechanics
• 35B40: Asymptotic behavior of solutions
• 35K55: Nonlinear parabolic equations
• 35B41: Attractors

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2014
• Tom: 1

Daty

online

2013-07-08

Twórcy

autor

O.V. Kapustyan

• Taras Shevchenko National University of Kyiv,
  Institute for Applied System Analysis NASU,
  Kyiv, Ukraine.

autor

A.V. Pankov

• Taras Shevchenko National University of Kyiv,
  Institute for Applied System Analysis NASU,
  Kyiv, Ukraine.

Bibliografia

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Identyfikatory

DOI

10.2478/msds-2013-0001