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Convergence of approximate solutions of the Cauchy problem for a 2 × 2 nonstrictly hyperbolic system of conservation laws

✍ Scribed by N.Luis E. León

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
245 KB
Volume
103
Category
Article
ISSN
0377-0427

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✦ Synopsis

A convergence theorem for the vanishing viscosity method and for the Lax-Friedrichs schemes, applied to a nonstrictly hyperbolic and nongenuinely nonlinear system is established. Using the theory of compensated compactness we prove convergence of a subsequence in the strong topology. (~) 1999 Elsevier Science B.V. All rights reserved.

📜 SIMILAR VOLUMES

Convergence of the Fractional Step Metho
Convergence of the Fractional Step Method for a 2 × 2 Nonstrictly Hyperbolic System of Conservation Laws
✍ Bruno Rubino 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 331 KB

We study the existence of solutions to the Cauchy problem for a non-homogeneous nonstrictly hyperbolic system of 2 ϫ 2 conservation laws, satisfying the Lax entropy inequality. We obtain the convergence and the consistency of the approximating sequences generated by either the fractional Lax-Friedri