On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
By Yasunori Maekawa. 2012
250 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/93d5fa878ed09f48124272b8a262ca2ee4b80e79
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In Applied Mathematics
- Vlad Vicol
- Nader Masmoudi
- Yasunori Maekawa
- Igor Kukavica
- Davdi Gerard-Varet
- Fei Wang
- Peter Constantin
- Tak Kwong Wong
In Computational Mechanics
- Vlad Vicol
- Nader Masmoudi
- Davdi Gerard-Varet
- Igor Kukavica
- Yasunori Maekawa
- Fei Wang
- Peter Constantin
- Tak Kwong Wong
Citations in the corpus
- Well‐Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption (2020, background): “As for the Prandtl boundary layer, [25] gave a proof when the initial vorticity is supported away from the boundary for two-dimensional flow that was generalized to three dimensions in [11]; recently, there have also been some interesting works on the limit to steady flow in [21] over a moving plate”
- The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary (2019, methodology): “4 in [44]).”
- The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space (2017, methodology): “, [26]), the residual Green kernel can be explicitly defined by Rα(t, y; z) = 2e −α2νt(α2 + α∂z)(−∆ α )G(νt, y + z), (3.”
- Local‐in‐Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods (2012, background): “See also the recent work [23] for the case that the initial vorticity is located away from the boundary.”
- Gevrey stability of Prandtl expansions for 2-dimensional Navier–Stokes flows (2016, background): “Recently, the second author relaxed that result, treating the case of Sobolev data with vorticity away from the boundary [18].”
- On the inviscid limit of the Navier-Stokes equations (2014, background): “This result was established by Sammartino and Caflisch in [SC98b]; see also [Mae14] for a more recent result on vanishing viscosity limit in the analytic setting.”