Symmetries of conservation laws
Copyright policy )Symmetries of conservation laws
We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves. We show that these shock waves are solutions in the sense of 1-strong association. Also, we compute all project able symmetry groups and show that they are 1-strongly associated, hence transform existing solutions in the sense of 1-strong association into other solutions.
- University of Novi Sad Serbia
infinitesimal generator, Generalized solutions to partial differential equations, 35L65;35D99;46F30;58D19, solution in the sense of association, 35D99, Riemann problem, symmetry group, Invariance and symmetry properties for PDEs on manifolds, Mathematics - Analysis of PDEs, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), singular shock wave, 58D19, Hyperbolic conservation laws, 35L65, conservation law, FOS: Mathematics, 46F30, Geometric theory, characteristics, transformations in context of PDEs, Analysis of PDEs (math.AP)
infinitesimal generator, Generalized solutions to partial differential equations, 35L65;35D99;46F30;58D19, solution in the sense of association, 35D99, Riemann problem, symmetry group, Invariance and symmetry properties for PDEs on manifolds, Mathematics - Analysis of PDEs, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), singular shock wave, 58D19, Hyperbolic conservation laws, 35L65, conservation law, FOS: Mathematics, 46F30, Geometric theory, characteristics, transformations in context of PDEs, Analysis of PDEs (math.AP)
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