Article
Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics
Author/s | Azérad, Pascal
Guillén González, Francisco Manuel ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2001 |
Deposit Date | 2016-05-16 |
Published in |
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Abstract | Geophysical fluids all exhibit a common feature: their aspect ratio (depth to horizontal width) is very small. This leads to an asymptotic model widely used in meteorology, oceanography, and limnology, namely the hydrostatic ... Geophysical fluids all exhibit a common feature: their aspect ratio (depth to horizontal width) is very small. This leads to an asymptotic model widely used in meteorology, oceanography, and limnology, namely the hydrostatic approximation of the time-dependent incompressible Navier–Stokes equations. It relies on the hypothesis that pressure increases linearly in the vertical direction. In the following, we prove a convergence and existence theorem for this model by means of anisotropic estimates and a new time-compactness criterium. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | UC 815
![]() MAR98-0486 ![]() |
Citation | Azérad, P. y Guillén González, F.M. (2001). Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics. SIAM Journal on Mathematical Analysis, 33 (4), 847-859. |
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