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Global existence for the 2D Kuramoto-Sivashinsky equation

[Moved Online] Recent Developments in Fluid Dynamics April 12, 2021 - April 30, 2021

April 22, 2021 (08:00 AM PDT - 08:50 AM PDT)
Speaker(s): Anna Mazzucato (Pennsylvania State University)
Location: MSRI: Online/Virtual
Tags/Keywords
  • Kuramoto-Sivashinsky

  • global existence

  • long-wave instability

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Abstract

I will present recent results concerning global existence for the Kuramoto-Sivashinsky equation (KSE) in 2 space dimensions with and without growing modes. The KSE is a model of long-wave instability in dissipative systems. This is joint work with David Ambrose (Drexel).

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