Similarity method for the study of strong shock waves in magnetogasdynamics

DOI10.1186/s13661-014-0142-2zbMath1304.35527OpenAlexW2150635204WikidataQ59321561 ScholiaQ59321561MaRDI QIDQ477301

Rajan Arora, Sanjay Yadav, Mohd. Junaid Siddiqui

Publication date: 3 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0142-2

zbMATH Keywords

Lie groupshock wavessimilarity solutionsmagnetogasdynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Applications of Lie groups to the sciences; explicit representations (22E70) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (3)

Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation ⋮ Shock waves propagation under the influence of magnetic field ⋮ Propagation of blast waves in a non-ideal magnetogasdynamics

Uses Software

• Mathematica

Cites Work

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• Similarity methods for differential equations
• Similarity solutions for converging shocks in a relaxing gas
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• Similarity Solutions for Strong Shocks in an Ideal Gas
• Symmetry analysis and exact solutions of magnetogasdynamic equations
• Similarity Solutions for Reactive Shock Hydrodynamics
• The converging shock wave from a spherical or cylindrical piston
• An analytic description of converging shock waves
• On one-dimensional planar and nonplanar shock waves in a relaxing gas
• SIMILARITY SOLUTIONS FOR STRONG SHOCKS IN A NON-IDEAL GAS
• Similarity solutions for the flow into a cavity
• Propagation of a blast wave in uniform or non-uniform media: a uniformly valid analytic solution
• Similarity Solution for Cylindrical Magnetohydrodynamic Blast Waves
• Symmetries and differential equations

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