The book is

Initial-Boundary Value Problems and the Navier-Stokes Equations
Heinz-Otto Kreiss and Jens Lorenz
Academic Press

Note that the credentials of Professor Kreiss are well known in both the theoretical study of PDE’s and in numerical analysis. It was my privilege to have him as a mentor.

Jerry

I have made my case quite clear. If one reads my comments and looks at the QJRMS manuscript as I have indicated, one can see there are serious problems with the continuum equations and their numerical approximations. (dynamical cores). No amount of wordsmithing can overcome these problems.

I will come back to this thread to answer a few more questions. But the mathematical analysis of the frequencies, the demonstrations of the
problems with the continuum systems using convergent numerical solutions
on the Exponential thread, and the dynamical core manuscript itself
should make the issues very clear.

Jerry

A referee is not required when the facts are presented openly.
I await your answers to the specific questions that you said I did not
state specifically ( only all thru this thread and the Exponential Growth in Physical Systems threads).

Jerry

please answer the very specific mathematical questions I asked you ….

1) Compute the frequencies or read our reference on the computation of frequencies for a realistic atmospheric state.

2) What is the impact of those complex frequencies on the hydrostatic and nonhydrostatic continuum equations.

3) What is the impact of those complex frequencies on a numerical model of the atmosphere.

2) Clearly state the impact of an incorrect spatial spectrum due to incorrect dissipative operators on the tuning that is required to make the spatial spectrum appear realistic.

3) The atmosphere receives information from above any artificial lid in a numerical model. How is that info transmitted when the numerical model has an artificial boundary at a predetermined height, i.e. there is no flow of information from above the artificial lid.

4) The equations of motion change nature at higher altitudes, e.g. they change to the plasma equations. Is this change taken into account.

…
Jerry

SM- Jerry, please be more moderate in your tone.

hmmm preview doesn’t show image?

She floats like a butterly but stings like a hornet. Lucky I had side bets.