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arxiv: 1712.04761 · v1 · pith:KFMZT6FVnew · submitted 2017-12-13 · 🧮 math.AP

Maximal dissipation principle for the complete Euler system

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keywords completeeulermaximalsolutionssystemconceptconstitutivedata
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We introduce the concept of maximal dissipative measure-valued solution to the complete Euler system. These are solutions that maximize the entropy production rate. We show that these solutions exist under fairly general hypotheses imposed on the data and constitutive relations.

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