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Analysis of some nonlinear PDEs from multi-scale geophysical applications

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If you have a question about this talk, please contact Carola-Bibiane Schoenlieb.

This talk is regarding PDE systems from geophysical applications with multiple time scales, in which linear skew-self-adjoint operators of size 1/epsilon gives rise to highly oscillatory solutions. Analysis is performed in justifying the limiting dynamics as epsilon goes to zero; furthermore, the analysis yields estimates on the difference between the multiscale solution and the limiting solution. We will introduce a simple yet effective time-averaging technique which is especially useful in general domains where Fourier analysis is not applicable.

This talk is part of the Applied and Computational Analysis series.

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