In this note we discuss the features of a quadratic interaction potential for first order hyperbolic systems in one space dimension, aiming to suggest the need of defining a non local functional depending on the global wave structure of the solution in order to obtain a quadratic Glimm type functional for general hyperbolic systems.
On the Glimm functional for general hyperbolic systems
ANCONA, FABIO;MARSON, ANDREA
2011
Abstract
In this note we discuss the features of a quadratic interaction potential for first order hyperbolic systems in one space dimension, aiming to suggest the need of defining a non local functional depending on the global wave structure of the solution in order to obtain a quadratic Glimm type functional for general hyperbolic systems.
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