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Boundary layer methods in semilinear fluid equations

[Moved Online] Connections Workshop: Mathematical problems in fluid dynamics January 20, 2021 - January 22, 2021

January 20, 2021 (08:00 AM PST - 09:00 AM PST)
Speaker(s): Anne-Laure Dalibard (Université de Paris VI (Pierre et Marie Curie))
Location: MSRI: Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Boundary Layer Methods In Semilinear Fluid Equations


The purpose of these lectures is to present general methods to construct boundary layers both in linear and nonlinear contexts. We will focus on semilinear cases (and therefore we will not address the Prandtl equation in these lectures). We will explain how the boundary layer sizes and profiles can be predicted in linear cases, together with some decay estimates. We will illustrate this method with several explicit examples: Ekman layers, reflection of internal waves in a stratified fluid… We will also tackle some semilinear problems, adding for instance a convection term to the previous examples.

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Boundary Layer Methods In Semilinear Fluid Equations

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