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Boundary layer methods in fluid mechanics - Lecture 3

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Authors : Dalibard, Anne-Laure (Author of the conference)
CIRM (Publisher )

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Abstract : The purpose of these lectures is to present general methods to construct boundary layers both in linear and nonlinear contexts. 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 semilinear problems, adding for instance a convection term to the previous examples. Eventually, we will introduce some tools for the study of the Prandtl equation.

Keywords : boundary layers; fluid mechanics

MSC Codes :
35Q35 - PDEs in connection with fluid mechanics
76D10 - Boundary-layer theory
35Q86 - PDEs in connection with geophysics

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 22/04/2022
    Conference Date : 04/04/2022
    Subseries : Research School
    arXiv category : Analysis of PDEs ; Mathematical Physics ; Classical Analysis and ODEs
    Mathematical Area(s) : PDE
    Format : MP4 (.mp4) - HD
    Video Time : 01:31:46
    Targeted Audience : Researchers ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2022-04-07_Dalibard_part3.mp4

Information on the Event

Event Title : Jean-Morlet Chair 2022 - Research School: Mathematical Advances in Geophysical Flows / Chaire Jean-Morlet 2022 - Ecole : Avancées mathématiques dans les flux géophysiques
Event Organizers : Hieber, Matthias ; Monniaux, Sylvie
Dates : 04/04/2022 - 06/04/2022
Event Year : 2022
Event URL : https://www.chairejeanmorlet.com/2575.html

Citation Data

DOI : 10.24350/CIRM.V.19904603
Cite this video as: Dalibard, Anne-Laure (2022). Boundary layer methods in fluid mechanics - Lecture 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19904603
URI : http://dx.doi.org/10.24350/CIRM.V.19904603

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