Particle dynamics inside shocks in Hamilton-Jacobi equations

The characteristic curves of a Hamilton-Jacobi equation can be seen as action-minimizing trajectories of fluid particles. For non-smooth 'viscosity' solutions, which give rise to discontinuous velocity fields, this description is usually pursued only up to the moment when trajectories hit...

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Veröffentlicht in:	Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2010-04, Vol.368 (1916), p.1579-1593
Hauptverfasser:	Khanin, Konstantin, Sobolevski, Andrei
Format:	Artikel
Sprache:	eng
Schlagworte:	Burger equation Control Theory Convex Sets And Geometric Inequalities Flow velocity Hamilton Jacobi equation Hamiltonian Formulations Lagrangian function Mathematics Momentum Shock Wave Interactions And Shock Effects Singularity Theory Trajectories Uniqueness Velocity Viscosity
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