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Instability and Non-uniqueness for the Euler and Navier-Stokes Equations

By Maria Colombo

Appears in collection : Advances in Nonlinear Analysis and Nonlinear Waves, a conference in honor of Frank Merle

The incompressible Navier-Stokes and Euler equations are fundamental PDEs in mathematical fluid dynamics and their well-posedness theory is nowadays largely open. The past decade has seen a surprising and remarkable progress, through various different attempts, in describing some non-unique solutions of these PDEs. The talk will survey some of the recent contributions in this direction, including works in collaboration with Albritton and Brué which show that Leray-Hopf solutions of the forced Navier-Stokes equations are not unique.

Information about the video

  • Date of recording 5/23/23
  • Date of publication 5/29/23
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4


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