Oseen flows and Muckenhoupt weights

Speaker(s)

Miroslav Krbec

Affiliation

Czech Academy of Sciences

Date

April 19, 2007, 12:30 p.m.

Room

room 2100

Seminar

Seminar of Mathematical Physics Equations Group

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We shall consider time-periodic Oseen flows around a rotating body and establish weighted apriori estimates in L^q -spaces with weights of Muckenhoupt type. After a time-dependent change of coordinates the problem is reduced to a stationary Oseen equation with an additional term in the equation of momentum and can be handled with tools as variants of Muckenhoupt weights, weighted Littlewood-Paley decompositions, maximal operators, and anisotropic factorization theorems.

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