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On the hydrostatic limit of the Euler-Boussinesq equations

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  • UserLucas Ertzbischoff, Imperial College London
  • ClockMonday 11 March 2024, 14:00-15:00
  • HouseMR13.

If you have a question about this talk, please contact Amelie Justine Loher .

I will talk about the hydrostatic approximation of the 2d Euler-Boussinesq system, describing the evolution of an inviscid stratified fluid where the vertical length scale is much smaller than the horizontal one. Even though of importance in oceanography, the justification of the hydrostatic limit in this context has remained an open problem. I will discuss some recent results showing that some instability mechanisms may prevent this limit to hold. I will also try to provide some key features of the associated equations and highlight several related challenges.

This is joint work with R. Bianchini (CNR Rome) and M. Coti Zelati (Imperial College London).

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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