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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