Reduction of balance laws in \((3+1)\)-dimensions to autonomous conservation laws by means of equivalence transformations (Q404861)

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English	Reduction of balance laws in \((3+1)\)-dimensions to autonomous conservation laws by means of equivalence transformations	scientific article

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instance of

scholarly article

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title

Reduction of balance laws in \((3+1)\)-dimensions to autonomous conservation laws by means of equivalence transformations (English)

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published in

Acta Applicandae Mathematicae

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publication date

4 September 2014

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full work available at URL

https://arxiv.org/abs/2107.14144

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zbMATH Keywords

systems of balance laws

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equivalence transformations

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derivation of autonomous and homogeneous conservation laws

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MaRDI publication profile

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

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Q4849745

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Q4486431

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Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering

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Applications of symmetry methods to partial differential equations

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Exact solutions to the equations of ideal gas dynamics by means of the substitution principle

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

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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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Unsteady solutions of Euler equations generated by steady solutions

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When Nonlinear Differential Equations are Equivalent to Linear Differential Equations

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

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Linearization procedure of nonlinear first order system of partial differential equations by means of canonical variables related to Lie groups of point transformations

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When nonautonomous equations are equivalent to autonomopus ones

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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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Reduction of nonhomogeneous quasilinear 2×2 systems to homogeneous and autonomous form

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Lie symmetries of differential equations: classical results and recent contributions

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Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)

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Equivalence groups for balance equations

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Generalization of the Equivalence Transformations

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Equivalence transformations and symmetries for a heat conduction model

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Equivalence groups for first-order balance equations and applications to electromagnetism

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Equivalence transformations of quasilinear first order systems and reduction to autonomous and homogeneous form

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Reduction of balance laws to conservation laws by means of equivalence transformations

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Identifiers

zbMATH Open document ID

1304.35414

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DOI

10.1007/s10440-014-9929-5

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:404861