On Kato's conditions for vanishing viscosity

By James P. Kelliher. 2007

106 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c5386345a571e2f2e7841970b59c792f24ed0dff

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space (2017, background): “See also its many variants: for instance, [3, 5, 6, 7, 24], among others.”
Recent progresses in boundary layer theory (2015, unknown): “, [10, 15, 24, 28, 80, 82, 84, 86, 96, 100, 109, 111, 112, 125, 131].”
Gevrey stability of Prandtl expansions for 2-dimensional Navier–Stokes flows (2016, methodology): “;L2(Ω)) if and only if convergence holds in L2(Ω) at time 0 and ν Z T 0 Z d(x,∂Ω)≤ν |∇uν|2 → 0, ν→ 0 that is the production of enstrophy in a layer of size νnear the boundary goes to zero with ν. See [12] for reﬁnements. The most popular model for the boundary layer was introduced by Ludwig Prandtl ”
On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane (2012, background): “On the other hand, the necessary and sufficient condition for theL(2) convergence of the Navier-Stokes flows to the Euler flows was given by [25], which was extended by several authors [26, 27, 53, 55].”
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,”
Local‐in‐Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods (2012, background): “This criterion was extended in different directions (see [29, 31, 14]).”