Stationary Navier–Stokes Equation on Lipschitz Domains in Riemannian Manifolds with Nonvanishing Boundary Conditions

Martin Dindoš

doi:10.1007/978-1-4419-1343-2_5

Stationary Navier–Stokes Equation on Lipschitz Domains in Riemannian Manifolds with Nonvanishing Boundary Conditions

Martin Dindoš

https://doi.org/10.1007/978-1-4419-1343-2_5

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Publication Date: Nov 18, 2009

Citations: 19

Affiliation: Maxwell Institute for Mathematical Sciences, University of Edinburgh

#Lipschitz Domains In Riemannian Manifolds #Domains In Riemannian Manifolds + Show 8 more

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Abstract

AbstractIn the previous work, the author and M. Mitrea presented a method of solving the stationary Navier-Stokes equation on Lipschitz domains in Riemannian manifolds via the boundary integral technique, where only the vanishing Dirichlet boundary condition was considered. In this paper, more sophisticated estimates are developed, which allows us to consider arbitrary large (dim M ≤ 4) Dirichlet boundary data for this equation.KeywordsRiemannian ManifoldStokes EquationLipschitz DomainStokes ProblemStokes SystemThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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