On the formation of shocks to the compressible Euler equations

DOI10.4310/CMS.2009.v7.n3.a6zbMath1183.35225OpenAlexW1993778640MaRDI QIDQ1049719

Seung-Yeal Ha, Donghao Chae

Publication date: 13 January 2010

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2009.v7.n3.a6

zbMATH Keywords

blow-upshock wavecompressible Euler equationsparticle trajectoryvacuum boundary

Mathematics Subject Classification ID

Attractors (35B41) Gas dynamics (general theory) (76N15) A priori estimates in context of PDEs (35B45) 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) Euler equations (35Q31)

Related Items (11)

Blowup phenomena for the \(N\)-dimensional compressible Euler equations with damping ⋮ Blowup for irrotational \(C^1\) solutions of the compressible Euler equations in \(\mathbb{R}^N\) ⋮ A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid ⋮ Blowup for regular solutions and \(C^1\) solutions of Euler equations in \(\mathbb{R}^N\) with a free boundary ⋮ On well-posedness and singularity formation for the Euler-Riesz system ⋮ Blow-up phenomena for compressible Euler equations with non-vacuum initial data ⋮ Blowup for the Euler and Euler-Poisson equations with repulsive forces ⋮ Blowup for projected 2-dimensional \(C^2\) solutions of compressible Euler equations with Coriolis force ⋮ Blowup phenomenon for the initial-boundary value problem of the non-isentropic compressible Euler equations ⋮ Singularities of solutions to the compressible Euler equations and Euler-Poisson equations with damping ⋮ Blowup for projected 2-dimensional rotational \(\mathrm{C}^2\) solutions of compressible Euler equations

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