Selected talks. For an up-to-date list, see my CV.
2022
2022
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The stability of model shocks and the Landau law of decay
Simons Center for Geometry and Physics, Workshop on small scale dynamics in fluid motion
June 6, 2022
It is well-known that in three space dimensions, smooth solutions to the equations describing a compressible gas can break down in finite time. One type of singularity which can arise is known as a "shock", which is a hypersurface of discontinuity across which the integral forms of conservation of mass and momentum hold and through which there is nonzero mass flux. One can find approximate solutions to the equations of motion which describe expanding spherical shocks. We use these model solutions to construct global-in-time solutions to the irrotational compressible Euler equations with shocks. This is joint work with Igor Rodnianski
2020
2020
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Flexibility and Rigidity in Steady Fluid Motion
ICL/UCL joint Pure Analysis and PDE Seminar
Dec 11, 2020
Motivated by a conjecture by Grad about the steady MHD equations in three space dimensions, we discuss the possibility of smoothly deforming steady states of fluid models in the presence of symmetries.
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Approximate quasisymmetric equilibria sustained by a small force
Simons Collaboration on Hidden Symmetries and Fusion meeting
April 6, 2020