Life-span of classical solutions for one-dimensional hydromagnetic flow

DOI10.1007/s10483-007-0412-xzbMath1231.76352OpenAlexW2014015766MaRDI QIDQ940272

Fa-Gui Liu

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0412-x

zbMATH Keywords

Cauchy problemclassical solutionlife-spanhydromagnetic flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Analysis of the stability of the Riemann problem for a simplified model in magnetogasdynamics

Cites Work

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• On reactive shock in magnetogasdynamic flow
• On the formation of singularities in magnetohydrodynamic waves
• Cauchy problem for quasilinear hyperbolic systems
• Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data
• Formation of Singularities in One-Dimensional Hydromagnetic Flow
• Blow up of periodic solutions to quasilinear hyperbolic systems