Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics
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Fast Singular Oscillating Limits and Global Regularity for the 3D Primitive Equations of Geophysics
Anatoli Babin, Alex Mahalov, Basil Nicolaenko (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Fast singular oscillating limits of the three-dimensional "primitive" equations of geophysical fluid flows are analyzed. We prove existence on infinite time intervals of regular solutions to the 3D "primitive" Navier-Stokes equations for strong stratification (large stratification parameter N). This uniform existence is proven for periodic or stress-free boundary conditions for all domain aspect ratios, including the case of three wave resonances which yield nonlinear " dimensional" limit equations...
Flowing over backward-facing steps with a cavity.
Kamenetskij, E. S. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
Currently displaying 1 – 3 of 3
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