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Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model - MaRDI portal

Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model (Q2682687)

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English	Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model	scientific article

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scholarly article

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Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model (English)

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Pabitra Kumar Pradhan

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Journal of Mathematical Analysis and Applications

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publication date

1 February 2023

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zbMATH Keywords

Chaplygin gas

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Lie symmetries

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optimal systems

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conservation laws

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discontinuity waves

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jmaa.2022.126912

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On the evolution of weak discontinuities in a state characterized by invariant solutions

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Application of Lie groups to compressible model of two-phase flows

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Applications of symmetry methods to partial differential equations

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On the evolution law of weak discontinuities for hyperbolic quasi-linear systems

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Riemann problem for the isentropic Chaplygin gas Cargo-LeRoux model

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A note on optimal systems for the heat equation

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Reduction to autonomous form by group analysis and exact solutions of axisymmetric MHD equations

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How to build up variable transformations allowing one to map nonlinear hyperbolic equations into autonomous or linear ones

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A direct algorithm of one-dimensional optimal system for the group invariant solutions

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CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

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Nonlinear self-adjointness and conservation laws

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Group classification and conservation laws of anisotropic wave equations with a source

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Group analysis of dynamics equations of self-gravitating polytropic gas

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On the existence of solution, Lie symmetry analysis and conservation law of magnetohydrodynamic equations

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Exact solutions to the unsteady equations of perfect gases through Lie group analysis and substitution principles

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Exact solutions to the ideal magneto-gas-dynamics equations through Lie group analysis and substitution principles

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Group theoretic method for analyzing interaction of a discontinuity wave with a strong shock in an ideal gas

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Lie symmetries and exact solutions of shallow water equations with variable bottom

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Interaction of a characteristic shock with a weak discontinuity in a non-ideal gas

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Symmetry analysis and exact solutions of magnetogasdynamic equations

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Symmetry analysis and optimal systems of generalized Chaplygin gas equations with a source term

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Group classification for isothermal drift flux model of two phase flows

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Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model

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Codimension two Lie invariant solutions of the modified Khokhlov–Zabolotskaya–Kuznetsov equation

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Multidimensional shock interaction for a Chaplygin gas

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Nonclassical symmetry analysis, conservation laws of one-dimensional macroscopic production model and evolution of nonlinear waves

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Lie symmetry analysis of the Heisenberg equation

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Identifiers

10.1016/j.jmaa.2022.126912

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2682687

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