Vlad Vicol - On Stable Implosions @IhesFr

Uploaded January 2026 | Updated September 2026, 2 weeks ago

We exhibit a new class of self-similar implosion solutions for the full compressible Euler equations. For any value of the adiabatic exponent, we construct a sequence of implosion profiles that are smooth before collapse and have an explicit similarity exponent. The first profile in this sequence (the ''ground state'') possesses remarkable stability properties, even outside of spherical symmetry. This is joint work with J. Chen (U Chicago) and S. Shkoller (UC Davis).

Vlad Vicol (NYU)

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