On the Glimm Functional for general hyperbolic systems

Fabio Ancona; Andrea Marson

doi:10.3934/proc.2011.2011.44

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2011, Volume 2011: 44-53. Doi: 10.3934/proc.2011.2011.44 open access

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On the Glimm Functional for general hyperbolic systems

Fabio Ancona^1, and
Andrea Marson^1,

1.
Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, I-35121, Padova

Received: June 30, 2010

Revised: July 31, 2011

Published: August 2017

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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.

Keywords:

Nonlinear hyperbolic systems,
interaction potential.

Mathematics Subject Classification: Primary: 35L40; Secondary: 35L65.

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