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A remark on characterization of entropy solutions

✍ Scribed by Dalibor Pražák


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
213 KB
Volume
53
Category
Article
ISSN
0898-1221

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✦ Synopsis


Colombeau's algebra of generalized functions is used to study the solutions to a single hyperbolic conservation law. In a simple setting of travelling shocks, we formulate a new interesting necessary and sufficient condition for the solution to be entropic.


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Remark on positive solutions of discrete
✍ Jaromír Baštinec; Josef Diblík 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 111 KB

Sufficient conditions are formulated to guarantee the existence of a positive solution if k → +∞.