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Technical Nonlinear Functional Analysis and Its Applications, Part 2

Posted on 2010-04-22




Name:Technical Nonlinear Functional Analysis and Its Applications, Part 2
ASIN/ISBN:0821814729
Publisher:Amer Mathematical Society
Publish Date:edition 1986
Pages:577 pages
File size:50.59 Mb
Publisher: Amer Mathematical Society
ISBN: 0821814729
Publish Date: edition 1986
File Type: PDF
Pages: 577 pages
File Size: 50,59 mb
   Technical Nonlinear Functional Analysis and Its Applications, Part 2

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Nonlinear Functional Analysis and Its Applications, Part 2

Abstract. We consider the Euler and the Navier-Stokes equations in Jt2 lor an incompressible nuid. It is shown that the solution u( I) e H$ (Jil) e1ists ror all time if ufO) e III (tt2 ) with div u(O) - 0, where I is any rea] number such that s > 2. Moreover. the Navier-Stokes now converses in CaO. T); H') to the Euler now as the viscosity teDds

to zero for each T > o.

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