Abstract
In this paper, we are going to give the historical perspectives on the well-posedness theory for hyperbolic conservation laws. We will discuss the related issues of the notions of entropy, wave interactions, and nonlinear superpositions. We will also explain various nonlinear functionals which have been constructed to study the wave behaviours: the well-known Glimm’s functional for the study of wave interactions, and more recent ones for the study of L 1 topology.
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Liu, TP., Yang, T. (1999). Well-Posedness Theory for System of Hyperbolic Conservation Laws. In: Jeltsch, R., Fey, M. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8724-3_19
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DOI: https://doi.org/10.1007/978-3-0348-8724-3_19
Publisher Name: Birkhäuser, Basel
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