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Convergence of the Fractional Step Method for a 2 × 2 Nonstrictly Hyperbolic System of Conservation Laws

✍ Scribed by Bruno Rubino

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
331 KB
Volume
197
Category
Article
ISSN
0022-247X

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✦ Synopsis

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-Friedrichs or the fractional Godunov scheme. For this purpose we use the methods of the theory of compensated compactness.

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