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Keywords:
Colombeau algebra; generalized sign; conservation law; entropy condition
Colombeau algebra; generalized sign; conservation law; entropy condition
Summary:
A generalized concept of sign is introduced in the context of Colombeau algebras. It extends the sign of the point-value in the case of sufficiently regular functions. This concept of generalized sign is then used to characterize the entropy condition for discontinuous solutions of scalar conservation laws.
References:
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