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==Invitation== <table border="1" align="center" width="65%" cellpadding="8"> <tr> <td align="left"> On 8 May 2023, Stephen Sorokanich sent the following email to Joel: "<font color="darkgreen">Dr. Cohl and I are wondering if you would like to join our discussion of …"</font> <div align="center">{{ LL96bfigure }}</div> "<font color="darkgreen">This paper is very interesting to us because the authors consider Eulerian perturbations to the steady-state S-type ellipsoid velocity and pressure fields. The resulting linear equations in the Eulerian frame seem ideal for us to compare with our current finite element simulations of the nonlinear system. This is the only paper I've found by Lebovitz and Lifschitz where the stability analysis is carried out in an Eulerian frame. There's some nice analysis in the paper too. The linearized equations are solved using the "geometrical-optics approximation," which reduces the 3-dimensional linearized Euler equations to a system of ordinary differential equations. These solutions are used to draw conclusions for the stability of the S-type ellipsoids. Maybe there are other approximations to this system?</font>" NOTE from Joel: The referenced paper is obviously related to the companion publication … <div align="center">{{ LL96figure }}</div>We have already prepared a [[ThreeDimensionalConfigurations/Stability/RiemannEllipsoids#Euler_Equation|MediaWiki chapter]] whose focus is on this "{{ LL96hereafter }}" publication. </td> </tr> </table>
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