Redistribution of damping in hyperbolic systems of conservation laws
Constantine M. Dafermos
Atti della Accademia Peloritana dei Pericolanti: Classe di Scienze Fisiche, Matematiche e Naturali · 2013
doi:10.1478/aapp.91s1a7 (opens in a new tab)
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Abstract
By a change of variables that redistributes damping among the equations of systems of balance laws in one space dimension, it is demonstrated that dissipation induced by friction, viscosity or other physical mechanism, manifested in the decay of “entropy” functionals of quadratic order, also controls the total variation of solutions.
Abstract licence: CC BY
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