Remarks on Boundary Layer Expansions

Remarks on Boundary Layer Expansions

3 Boundary layer sizes and equations 17 3.1 Definitions and hypothesis (H4) . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2 Solvability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.2.1 Order zero operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.2.2 Operators with constant coefficients . . . . . . . . . . . . . . . . . . . 19 3...

Some Remarks on the Flat Plate Boundary Layer*

On the Arctic Boundary Layer On the Arctic Boundary Layer

The boundary layer is the part of the atmosphere that is in direct contact with the ground via turbulent motion. At mid-latitudes the boundary layer is usually one or a few kilometers deep, while in the Arctic it is much more shallow, typically a few hundred meters or less. The reason is that here the absolute temperature increases in the lowest kilometer, making the boundary layer semi-permane...

Remarks on Liouville theory with boundary

The bootstrap for Liouville theory with conformally invariant boundary conditions will be discussed. After reviewing some results on one-and boundary two-point functions we discuss some analogue of the Cardy condition linking these data. This allows to determine the spectrum of the theory on the strip, and illustrates in what respects the bootstrap for noncompact conformal field theories with b...

Remarks on an overdetermined boundary value problem

We modify and extend proofs of Serrin’s symmetry result for overdetermined boundary value problems from the Laplace-operator to a general quasilinear operator and remove a strong ellipticity assumption in [9] and a growth assumption in [5] on the diffusion coefficient A, as well as a starshapedness assumption on Ω in [4]. Mathematics Subject Classification (2000). 35J65, 35B35