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Abstract:
Complex fluid phenomena in engineering or geosciences typically involve a wide range of temporal and spatial scales, and these scales interact with each other in a highly nonlinear fashion. A proper understanding of these phenomena is only possible through a combination of theoretical, numerical, and/or experimental techniques. First, there is the fundamental issue of well-posedness of the mathematical models for these phenomena. The theoretical analysis of these models often leans on the asymptotic technique to isolate the predominant scale from the rest of the system. For the nonlinear systems governing the fluid flows, analytic solutions are almost certainly off the table, and thus the numerical approximation and the analysis of the numerical schemes are of vital importance for both theoretical and practical reasons. This session brings together experts from areas such as theoretical PDEs, fluid dynamics, geosciences, scientific computing, etc, to exchange ideas and share experiences in tackling these hard problems.
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