A “forward-in-time” quadratic potential for systems of conservation laws

  • Stefano ModenaEmail author
Part of the following topical collections:
  1. Hyperbolic PDEs, Fluids, Transport and Applications: Dedicated to Alberto Bressan for his 60th birthday


A quadratic interaction potential \(t \mapsto \Upsilon (t)\) for hyperbolic systems of conservation laws is constructed, whose value \(\Upsilon (\bar{t})\) at time \(\bar{t}\) depends only on the present and the future profiles of the solution and not on the past ones. Such potential is used to bound the change of the speed of the waves at each interaction.


Conservation laws Interaction estimates Quadratic potential 

Mathematics Subject Classification



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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität LeipzigLeipzigGermany

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