Renormalization group method applied to the primitive equations

DOI10.1016/j.jde.2003.10.011zbMath1080.35090OpenAlexW2053382961MaRDI QIDQ705972

Djoko Wirosoetisno, Madalina Petcu, Roger M. Temam

Publication date: 16 February 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.10.011

zbMATH Keywords

energy estimateserror estimatesvariational formulationexistence of global solutionsprimitive equations of the ocean

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Asymptotic expansions of solutions to PDEs (35C20) Stratification effects in viscous fluids (76D50) Meteorology and atmospheric physics (86A10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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A general analytical approximation for nonlinear vibrations analysis of continuous systems using renormalization group method ⋮ First and second order approximations for a nonlinear wave equation ⋮ Numerical simulations of solutions of a two-level averaged Navier-Stokes system ⋮ Averaging method applied to the three-dimensional primitive equations ⋮ Singular perturbed renormalization group theory and its application to highly oscillatory problems ⋮ On the backward uniqueness of the primitive equations ⋮ First order approximation for quadratic dispersive equations by the renormalization group approach ⋮ Singularly Perturbed Renormalization Group Method and Its Significance in Dynamical Systems Theory ⋮ On the renormalization group approach to perturbation theory for PDEs ⋮ Renormalization group method for solving initial value problem of slow‐fast system ⋮ Renormalization group approach to boundary layer problems ⋮ Vortices in stably-stratified rapidly rotating Boussinesq convection ⋮ Renormalization group and fractional calculus methods in a complex world: a review ⋮ Simple viscous flows: From boundary layers to the renormalization group

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