Uniqueness in MHD in divergence form: Right nullvectors and well-posedness

DOI10.1063/1.1510174zbMath1060.76134arXivastro-ph/9804139OpenAlexW2134409840MaRDI QIDQ4832849

Maurice H. P. M. van Putten

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/astro-ph/9804139

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Magnetohydrodynamics and electrohydrodynamics (76W05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

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Cites Work

• Approximate Riemann solvers, parameter vectors, and difference schemes
• Maxwell's equations in divergence form for general media with applications to MHD
• A numerical implementation of MHD in divergence form
• On the properties of Alfvén waves in relativistic magnetohydrodynamics.
• The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
• Convex covariant entropy density, symmetric conservative form, and shock waves in relativistic magnetohydrodynamics
• A TWO-DIMENSIONAL BLAST WAVE IN RELATIVISTIC MAGNETOHYDRODYNAMICS
• A Two-Dimensional Numerical Implementation of Magnetohydrodynamics in Divergence Form
• Systems of Conservation Equations with a Convex Extension

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