Introduction to PDEs and Waves in Atmosphere and Ocean

By Andrew J. Majda. 2003

823 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/20a0b6da7597474d7c273ac4d5afdb03725a2c03

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In Oceanography

Citations in the corpus

Challenges in Climate Science and Contemporary Applied Mathematics (2012, background): “In climate atmosphere ocean science, it is often useful [86, 80, 85] to consider the turbulent dynamical system from (2.”
Equatorial Wave–Current Interactions (2019, background): “These physical motivations prompted an intensive research activity, with the available studies of equatorial ocean waves falling into one of the following categories: (I) observational data and/or numerical simulations (see the discussion in [20]); (II) linear wave perturbations of a depth-dependent”
Initial Boundary Value Problem for Two-Dimensional Viscous Boussinesq Equations (2011, background): “The Boussinesq system is potentially relevant to the study of atmospheric and oceanographic turbulence, as well as other astrophysical situations in which rotation and stratification play a dominant role (see for example [16,18]).”
The Fujita–Kato approach to the Navier–Stokes equations in the rotational framework (2010, neutral): “[4,15] and [5].”
A review of numerical methods for nonlinear partial differential equations (2012, background): “…W ) forward and backward diﬀerences There is a whole library of such modern recipes (called limiters ), which enable one to reconstruct W ( t n , x ) from its cell averages in the “direction of smoothness”, while preserving the nonoscillatory behavior of the underlying exact solution w n ( t, x ).”
Global regularity results for the 2D Boussinesq equations with vertical dissipation (2011, neutral): “[19,21]).”
Global Well-Posedness of the 2D Boussinesq Equations with Vertical Dissipation (2015, background): “, Majda [19], Pedlosky [21] and Vallis [23].”
Global regularity for the 2D Boussinesq equations with partial viscosity terms (2006, background): “The Boussinesq system has important roles in the atmospheric sciences(See e.g. [7]).”
L∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^\infty $$\end{document} Ill-Posedness for a Class of Equations Ari (2019, methodology): “This system originally appeared as a model in atmospheric science [10,33] but is also seen as a good model for the 3d Euler equation since the quantity ∇⊥θ obeys a system very similar to the 3d vorticity equation.”