Blowup for projected 2-dimensional rotational \(\mathrm{C}^2\) solutions of compressible Euler equations

DOI10.1007/s00021-019-0458-xzbMath1431.35118OpenAlexW2972431298MaRDI QIDQ2007767

Manwai Yuen

Publication date: 22 November 2019

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-019-0458-x

zbMATH Keywords

initial value problemblowupcompressible Euler equationsrotational solutionsfunctional methodnon-vacuum

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) General theory of rotating fluids (76U05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items

Blowup of regular solutions and \(C^1\) solutions for free boundary problem of Euler-Poisson equations with repulsive force in \({\mathbb{R}}^n \) ⋮ Unnamed Item ⋮ Blowup for projected 2-dimensional \(C^2\) solutions of compressible Euler equations with Coriolis force ⋮ Blow-up for compressible Euler system with space-dependent damping in 1-D

Cites Work

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• Irrotational blowup of the solution to compressible Euler equation
• Blowup for the Euler and Euler-Poisson equations with repulsive forces
• On the formation of shocks to the compressible Euler equations
• Formation of singularities in three-dimensional compressible fluids
• The mathematical theory of dilute gases
• Blowup for regular solutions and \(C^1\) solutions of Euler equations in \(\mathbb{R}^N\) with a free boundary
• Shock formation in solutions to the \(2D\) compressible Euler equations in the presence of non-zero vorticity
• Formation of singularities in the Euler and Euler-Poisson equations
• Compressible flow with damping and vacuum
• Blowup for irrotational \(C^1\) solutions of the compressible Euler equations in \(\mathbb{R}^N\)
• Singularities of solutions to compressible Euler equations with vacuum
• Spreading of the free boundary of an ideal fluid in a vacuum
• Wave Motion
• Compressible Flow and Euler's Equations
• Expansion of a compressible gas in vacuum
• Sur la solution à support compact de l’equation d’Euler compressible