Lie-group theoretic method for analyzing interaction of discontinuous waves in a relaxing gas

DOI10.1007/S00033-006-3087-1zbMath1124.35004OpenAlexW2146193407WikidataQ115389301 ScholiaQ115389301MaRDI QIDQ885802

J. Jena

Publication date: 14 June 2007

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-006-3087-1

zbMATH Keywords

similarity solutioninteraction of shock waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) First-order hyperbolic systems (35L40)

Related Items (9)

Interaction of an acceleration wave with a strong shock in reacting polytropic gases ⋮ Evolution and interaction of a characteristic shock with an acceleration wave in a reacting gas ⋮ Self-similar solutions in a plasma with axial magnetic field (\(\theta\)-pinch) ⋮ Existence and interaction of acceleration wave with a characteristic shock in transient pinched plasma ⋮ Lie group of transformations to study anisotropic diffusion of scalar images ⋮ Evolution of \(C^1\)-wave and its collision with the blast wave in one-dimensional non-ideal gas dynamics ⋮ Interaction of a characteristic shock with a weak discontinuity in a relaxing gas ⋮ INTERACTION OF A SINGULAR SURFACE WITH A STRONG SHOCK IN THE INTERSTELLAR GAS CLOUDS ⋮ Lie group transformations for self‐similar shocks in a gas with dust particles

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