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On renormalized dissipative solutions for conservation laws

✍ Scribed by Satoru Takagi

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
118 KB
Volume
63
Category
Article
ISSN
0362-546X

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✦ Synopsis

We introduce a new notion of renormalized dissipative solutions for a scalar conservation law u t + div F(u) = f with locally Lipschitz F and L 1 data, and prove the equivalence of such solutions and renormalized entropy solutions in the sense of BΓ©nilan et al. The structure of renormalized dissipative solutions is useful to deal with relaxation systems than the renormalized entropy scheme. As an application of our result, we prove the existence of renormalized dissipative solutions via relaxation.

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