Invariant and partially-invariant solutions of the equations describing a non-stationary and isentropic flow for an ideal and compressible fluid in (3 + 1) dimensions

DOI10.1088/0305-4470/29/8/019zbMath0914.35096OpenAlexW2120097059MaRDI QIDQ4229780

L. Lalague, A. Michel Grundland

Publication date: 26 April 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/29/8/019

zbMATH Keywords

invariant solutionscompressible fluidisentropic flowsymmetry reduction methoddouble wavespartially-invariant solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Geometric theory, characteristics, transformations in context of PDEs (35A30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Solutions to PDEs in closed form (35C05)

Related Items (6)

Computation of partially invariant solutions for the Einstein Walker manifolds' identifying equations ⋮ Supersymmetric version of the Euler system and its invariant solutions ⋮ Partially invariant solutions of models obtained from the Nambu–Goto action ⋮ Rank-\(k\) solutions of hydrodynamic-type systems ⋮ Multi-dimensional quasi-simple waves in weakly dissipative flows ⋮ One class of regular partially invariant solutions of the Navier-Stokes equations

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