Reduction of balance laws to conservation laws by means of equivalence transformations (Q5397809)

scientific article; zbMATH DE number 6261228

Language	Label	Description	Also known as
English	Reduction of balance laws to conservation laws by means of equivalence transformations	scientific article; zbMATH DE number 6261228

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instance of

scholarly article

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title

Reduction of balance laws to conservation laws by means of equivalence transformations (English)

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published in

Journal of Mathematical Physics

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publication date

24 February 2014

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zbMATH Keywords

three independent variables

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/1.4799890

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cites work

Q4522341

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Q3945260

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

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Symmetry and integration methods for differential equations

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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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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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On Representations of *-Algebras in Mathematical Physics

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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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Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications

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Direct construction method for conservation laws of partial differential equations Part II: General treatment

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Q3867381

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Symmetries and exact solutions of the rotating shallow-water equations

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Properties and exact solutions of the equations of motion of shallow water in a spinning paraboloid

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Identifiers

zbMATH Open document ID

1284.35031

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DOI

10.1063/1.4799890

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5397809