Lie group analysis and Riemann problems for a \(2\times 2\) system of balance laws

DOI10.1016/j.ijengsci.2011.10.010zbMath1423.35248OpenAlexW1979400031WikidataQ115352257 ScholiaQ115352257MaRDI QIDQ1659810

Fiammetta Conforto, Salvatore Iacono, Cecilia Spinelli, Francesco Olivieri

Publication date: 23 August 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2011.10.010

zbMATH Keywords

numerical integrationbalance lawsRiemann problemLie symmetriesapproximate Lie symmetries

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (4)

Lie group analysis and propagation of weak discontinuity in one-dimensional ideal isentropic magnetogasdynamics ⋮ Imploding shocks in real reacting gases with dust particles ⋮ Evolution of \(C^1\)-wave and its collision with the blast wave in one-dimensional non-ideal gas dynamics ⋮ Analysis of \((3 + 1)\)-dimensional unsteady gas flow using optimal system of Lie symmetries

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