Solvability of the Navier-Stokes System with L{sup 2} Boundary Data
Journal Article
·
· Applied Mathematics and Optimization
- Department of Mathematics, University of Zagreb, Bijenicka 30, 10000 Zagreb (Croatia)
We prove the existence of the very weak solution of the Dirichlet problem for the Navier-Stokes system with L{sup 2} boundary data. Under the small data assumption we also prove the uniqueness. We use the penalization method to study the linearized problem and then apply Banach's fixed point theorem for the nonlinear problem with small boundary data. We extend our result to the case with no small data assumption by splitting the data on a large regular and small irregular part.
- OSTI ID:
- 21064272
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 3 Vol. 41; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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