Vanishing viscosity plane parallel channel flow and related singular perturbation problems
By A. Mazzucato, Michael Taylor. 2008
76 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1f3dcf71ecfdd281261397025bc9ceecca3c4b8f
How researchers see this paper
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In Applied Mathematics
- Nader Masmoudi
- Yasunori Maekawa
- Toan T. Nguyen
- Davdi Gerard-Varet
- Trinh T. Nguyen
- Vlad Vicol
- James P. Kelliher
- Roger Temam
In Mathematical Physics
- Yasunori Maekawa
- Nader Masmoudi
- Toan T. Nguyen
- Davdi Gerard-Varet
- Trinh T. Nguyen
- Roger Temam
- Vlad Vicol
- Igor Kukavica
Citations in the corpus
- The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space (2017, methodology): “When only data with Sobolev regularity are assumed, except for data with special symmetry data with special symmetry ([30, 13] and the references therein), the asymptotic expansions (1.”
- Boundary layer associated with the Darcy–Brinkman–Boussinesq model for convection in porous media (2011, background): “There is an abundant literature on boundary layer associated with incompressible flows and the related question of vanishing viscosity (see for instance [2, 6, 46, 47, 9, 39, 14, 22, 45, 19, 20, 7, 27, 68, 30, 3, 4, 32, 29, 65, 1, 66, 21, 55, 56, 51, 53, 54, 59, 23, 8, 25, 18, 26, 18, 26, 37, 5, 15,”
- Gevrey stability of Prandtl expansions for 2-dimensional Navier–Stokes flows (2016, background): “One can also mention the works [17, 20], where convergence is shown to hold under low regularity, but under stringent structural conditions on both the boundary layer solution and the perturbations.”
- The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary (2019, unknown): “[4, 27, 32, 41, 42, 45, 48, 49] and references therein.”