Systems of quasilinear conservation laws and algorithmization of variational principles

DOI10.1134/S0965542515090122zbMath1336.35235MaRDI QIDQ901861

N. E. Zubov

Publication date: 6 January 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

discontinuous solutionscharacteristicsnumerical algorithmRankine-Hugoniot relationsHopf equation

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Variational principles of physics (49S05)

Related Items (1)

On the variational approach to systems of quasilinear conservation laws

Cites Work

• On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory
• Non-oscillatory central differencing for hyperbolic conservation laws
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• The partial differential equation u_t + uu_x = μ_xx
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