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

Nonautonomous Dynamical Systems (2014)

- Volume: 1, page 1-9, electronic only
- ISSN: 2353-0626

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topO.V. Kapustyan, and A.V. Pankov. "Global φ-attractor for a modified 3D Bénard system on channel-like domains." Nonautonomous Dynamical Systems 1 (2014): 1-9, electronic only. <http://eudml.org/doc/266645>.

@article{O2014,

abstract = {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.},

author = {O.V. Kapustyan, A.V. Pankov},

journal = {Nonautonomous Dynamical Systems},

keywords = {Three-dimensional Bénard problem; three-dimensional; Navier-Stokes equations; multi-valued nonautonomous dynamicalsystem; global attractor; unbounded domain; three-dimensional Bénard problem; three-dimensional Navier-Stokes equations; multi-valued nonautonomous dynamical system},

language = {eng},

pages = {1-9, electronic only},

title = {Global φ-attractor for a modified 3D Bénard system on channel-like domains},

url = {http://eudml.org/doc/266645},

volume = {1},

year = {2014},

}

TY - JOUR

AU - O.V. Kapustyan

AU - A.V. Pankov

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

JO - Nonautonomous Dynamical Systems

PY - 2014

VL - 1

SP - 1

EP - 9, electronic only

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/266645

ER -

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