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  • Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Volume 131, Issue 1
  • February 2001, pp. 1-26

Global BV solutions and relaxation limit for a system of conservation laws

  • Debora Amadori (a1) and Graziano Guerra (a2)
  • DOI: http://dx.doi.org/10.1017/S0308210500000767
  • Published online: 11 July 2007
Abstract

We consider the Cauchy problem for the (strictly hyperbolic, genuinely nonlinear) system of conservation laws with relaxation Assume there exists an equilibrium curve A(u), such that r(u,A(u)) = 0. Under some assumptions on σ and r, we prove the existence of global (in time) solutions of bounded variation, uε, υε, for ε > 0 fixed.

As ε → 0, we prove the convergence of a subsequence of uε, υε to some u, υ that satisfy the equilibrium equations

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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