On the implosion of a compressible fluid. I: Smooth self-similar inviscid profiles

DOI10.4007/annals.2022.196.2.3zbMath1497.35384OpenAlexW4283695950MaRDI QIDQ2171418

Jérémie Szeftel, Frank Merle, Igor Rodnianski, Pierre Raphaël

Publication date: 9 September 2022

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2022.196.2.3

zbMATH Keywords

Euler equationsself-similar profile

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Self-similar solutions to PDEs (35C06) Euler equations (35Q31)

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Cites Work

• Large global solutions for energy supercritical nonlinear wave equations on \(\mathbb{R}^{3+1}\)
• On blow up for the energy super critical defocusing nonlinear Schrödinger equations
• On the implosion of a compressible fluid. II: Singularity formation
• The Existence of Bounded Solutions of a Semilinear Heat Equation
• On the Stability of Type I Blow Up For the Energy Super Critical Heat Equation
• Self-similar solutions of semilinear wave equations with a focusing nonlinearity
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