SMOOTH SELF-SIMILAR IMPLODING PROFILES TO 3D COMPRESSIBLE EULER

Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gomez-Serrano

Research output: Contribution to journalArticlepeer-review

Abstract

The aim of this note is to present the recent results by Buckmaster, Cao-Labora, and Gómez-Serrano [Smooth imploding solutions for 3D compressible fluids, Arxiv preprint arXiv:2208.09445, 2022] concerning the existence of “imploding singular-ities” for the 3D isentropic compressible Euler and Navier-Stokes equations. Our work builds upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [Invent. Math. 227 (2022), pp. 247-413; Ann. of Math. (2) 196 (2022), pp. 567-778; Ann. of Math. (2) 196 (2022), pp.

Original languageEnglish (US)
Pages (from-to)517-532
Number of pages16
JournalQuarterly of Applied Mathematics
Volume81
Issue number3
DOIs
StatePublished - 2023

ASJC Scopus subject areas

  • Applied Mathematics

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