Shock formation for the 3d Euler equations

Abstract: In this talk, I will discuss the shock formation process for the 3d compressible Euler equations, in which sounds waves interact with entropy waves to produce vorticity. Smooth solutions form a generic stable shock with explicitly computable blowup time, location, and direction. Our method establishes the asymptotic stability of a generic shock profile in modulated self-similar variables, controlling the interaction of three distinct wave families.

This is based on joint work with T. Buckmaster and S. Shkoller.

dynamical systems

Audience: researchers in the topic

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Bremen Online Dynamics Seminar

Series comments: Talks are approx. 55 min plus discussion. Talks are not recorded.

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