The existence of a global attractor for the forced critical surface quasi-geostrophic Equation in L2.

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Dai, Mimi

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Workshop on Fluids (IV: 2014: IMPA, Rio de Janeiro, Brazil)

Publication details: Rio de Janeiro: IMPA, 2014.Description: video onlineSubject(s):

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We prove that the critical surface quasi-geostrophic equation driven by a force f possesses a compact global attractor in L² ( T² ) provided f E Lp ( T² ) for some p > 2.

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The Fourth Workshop on Fluids and PDE was held at the National Institute of Pure and Applied Mathematics (IMPA) in Rio de Janeiro, Brazil, from Monday 26 May to Friday 30 May 2014. This workshop is held every two to three years in Brazil. The fourth edition of the workshop was the closing event of a Thematic Program on Incompressible Fluids Dynamics, to be held at IMPA next Spring. Hence, the focus of the workshop will be incompressible fluid mechanics .

We prove that the critical surface quasi-geostrophic equation driven by a force f possesses a compact global attractor in L² ( T² ) provided f E Lp ( T² ) for some p > 2.

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