Ricerche di Matematica

, Volume 55, Issue 1, pp 79–92 | Cite as

Continuous solutions for balance laws 

  • Constantine M. Dafermos


The paper employs the method of characteristics to show that continuous solutions of scalar conservation laws do not incur entropy production and to recover, in a direct and elementary way the (known) properties of solutions to the Hunter-Saxton equation.

Keywords: Balance laws, Characteristics, Hunter-Saxton equation

Mathematics Subject Classification (2000): 35L65, 35Q58


Weak Solution Continuous Solution Admissible Solution Lebesgue Point Continuation Argument 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Constantine M. Dafermos
    • 1
  1. 1.Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, RI 02912 

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