Advisors Profs, Tom Manteuffel, Steve Mccormick, Advisor Prof, Andrew Majda
In preparation H.R. MacMillan, M.A. Case, M.J. McConnell. “A multiscale model linking DNA damage response to neural progenitor cell decisions and the generation of neuronal variability.” M.J....
We continue our study on mathematical justification of the emergence of large scale coherent structure in a two dimensional fluid system under small scale random bombardments. We treat the case of...
We rigorously justify the so-called one and one-half layer quasigeostrophic model from the two layer model as the ratio of the depth of the bottom layer over that of the top layer approaches...
The dynamics of equatorial long waves: a singular limit with fast variable coefficients (2006)
Dutrifoy, Alexandre, Majda, Andrew
At the equator, the Coriolis force from rotation vanishes identically so that multiple time scale dynamics for the equatorial shallow water equation naturally leads to singular limits of symmetric...
Introduction to PDEs and Waves for the Atmosphere and Ocean (2003)
Contenido: Introducción: Algunas cuestiones notables del flujo estratificado; Lineal y no lineal inestabilidad de flujos estratificados con gran estratificación; Teoría de rotaciones bajas del...
A Mathematical Framework for Quantifying Predictability Through Relative Entropy (2002)
Cai, David, Kleeman, Richard, Majda, Andrew
Kleeman has recently demonstrated that the relative entropy provides a significant measure of the information content of a prediction ensemble compared with the climate record in several simplified...
Monotone Difference Approximations for Scalar Conservation Laws. (2002)
Crandall,Michael G., Majda,Andrew
A complete self-contained treatment of the stability and convergence properties of conservation form, monotone difference approximations to scalar conservation laws in several space variables is...
Compressible and Incompressible Fluids, (2002)
Klainerman,Sergiu, Majda,Andrew
Prepared in cooperation with California Univ., Berkeley.
Stable Viscosity Matrices for Systems of Conservation Laws. (2002)
Many equations of mathematical physics take the form of nonlinear hyperbolic systems of conservation laws. With small dissipative effects neglected, typically smooth solutions must develop...
Stable viscosity matrices for systems of conservation laws (1985)
Majda, Andrew, Pego, Robert L.
A natural class of appropriate viscosity matrices for strictly hyperbolic systems of conservation laws in one space dimension, u1 + f(u)x = 0, u[epsilon]Rm, is studied. These matrices are admissible...
Incluye bibliografía e índice
The existence of multi-dimensional shock fronts / Andrew Majda (1983)
Incluye bibliografía
The stability of multi-dimensional shock fronts / Andrew Majda (1983)
Incluye bibliografía
Statistical equilibrium predictions of jets and spots on Jupiter
Turkington, Bruce, Majda, Andrew, Haven, Kyle, DiBattista, Mark
An equilibrium statistical theory of coherent structures is applied to midlatitude bands in the northern and southern hemispheres of Jupiter. The theory imposes energy and circulation constraints on...
The inverse problem for convex bodies
A completely rigorous study of the high frequency asymptotics for the scattering matrix in the exterior of convex bodies is developed. These results are then applied to a variety of inverse problems...
Absorbing boundary conditions for numerical simulation of waves
Engquist, Björn, Majda, Andrew
In practical calculations, it is often essential to introduce artificial boundaries to limit the area of computation. Here we develop a systematic method for obtaining a hierarchy of local boundary...
Statistical equilibrium predictions of jets and spots on Jupiter
Turkington, Bruce, Majda, Andrew, Haven, Kyle, DiBattista, Mark
An equilibrium statistical theory of coherent structures is applied to midlatitude bands in the northern and southern hemispheres of Jupiter. The theory imposes energy and circulation constraints on...
The inverse problem for convex bodies
A completely rigorous study of the high frequency asymptotics for the scattering matrix in the exterior of convex bodies is developed. These results are then applied to a variety of inverse problems...
Absorbing boundary conditions for numerical simulation of waves
Engquist, Björn, Majda, Andrew
In practical calculations, it is often essential to introduce artificial boundaries to limit the area of computation. Here we develop a systematic method for obtaining a hierarchy of local boundary...