Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions
By Dragos Iftimie, Franck Sueur. 2011
192 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/6e704db298c4dd233cc361363a372b560fc7b612
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In Applied Mathematics
- Nader Masmoudi
- Frédéric Rousset
- Tak Kwong Wong
- Zhouping Xin
- Aibin Zang
- Lizhen Wang
- Toan T. Nguyen
- Trinh T. Nguyen
In Computational Mechanics
- Nader Masmoudi
- Frédéric Rousset
- Tak Kwong Wong
- Zhouping Xin
- Aibin Zang
- Lizhen Wang
- Toan T. Nguyen
- Trinh T. Nguyen
Citations in the corpus
- Local‐in‐Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods (2012, background): “Let us also mention that when considered in the whole space [28, 12, 19] or with other boundary conditions such as Navier boundary condition [32, 11, 2, 20] or incoming flow [30], the convergence problem becomes simpler since there is no boundary layer or the boundary layer is stable.”
- Uniform Regularity for the Navier–Stokes Equation with Navier Boundary Condition (2010, background): “Note that the rigorous constuction of such expansions have been performed in [16] where it was also proven that the remainder is indeed O(ε) in L2.”
- The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space (2017, background): “2); see, for instance, [21, 28, 9], and also the review papers [3, 27].”
- Vanishing Viscous Limits for 3D Navier–Stokes Equations with a Navier-Slip Boundary Condition (2012, background): “d be influenced by the amplitude of the slip length. It should be noted that the approach in [33] can yield easily the leading profile expansion of boundary layers not only in L∞(0,T;L2(Ω)) as given in [14], but even in 3 L∞((0,T)×Ω). More recently, Masmoudi and Rousset [21] proved that the solutions ”