Construction of autonomous conservation laws (Q404876)

scientific article; zbMATH DE number 6339976

Language	Label	Description	Also known as
English	Construction of autonomous conservation laws	scientific article; zbMATH DE number 6339976

Statements

instance of

scholarly article

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title

Construction of autonomous conservation laws (English)

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published in

Acta Applicandae Mathematicae

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publication date

4 September 2014

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zbMATH Keywords

Lie point symmetries of differential equations

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balance laws

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autonomous conservation laws

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full work available at URL

https://doi.org/10.1007/s10440-014-9918-8

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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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Symmetry groups and group invariant solutions of 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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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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Continuous symmetries and conserved currents

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Symmetries and exact solutions of the rotating shallow-water equations

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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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Bundle methods for sum-functions with ``easy'' components: applications to multicommodity network design

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Identifiers

zbMATH Open document ID

1305.35095

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Mathematics Subject Classification ID

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10.1007/S10440-014-9918-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:404876