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A mixed problem for the steady Navier–Stokes equations

✍ Scribed by A. Russo; G. Starita

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
502 KB
Volume
49
Category
Article
ISSN
0895-7177

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✦ Synopsis

We consider a mixed boundary problem for the Navier-Stokes equations in a bounded Lipschitz two-dimensional domain: we assign a Dirichlet condition on the curve portion of the boundary and a slip zero condition on its straight portion. We prove that the problem has a solution provided the boundary datum and the body force belong to a Lebesgue's space and to the Hardy space respectively.

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