On renormalized dissipative solutions for conservation laws

研究成果: Article

抜粋

We introduce a new notion of renormalized dissipative solutions for a scalar conservation law ut+divF(u)=f with locally Lipschitz F and L1 data, and prove the equivalence of such solutions and renormalized entropy solutions in the sense of Bénilan 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.

元の言語English
ページ(範囲)e2483-e2489
ジャーナルNonlinear Analysis, Theory, Methods and Applications
63
発行部数5-7
DOI
出版物ステータスPublished - 2005 11 30

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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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