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EnglishWe study the existence of solutions to the Cauchy problem for a non-homogeneous nonstrictly hyperbolic system of 2 x 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. (C) 1996 Academic Press, Inc.
http://hdl.handle.net/11697/17772| Titolo: | Convergence of the fractional step method for a 2 x 2 nonstrictly hyperbolic system of conservation laws |
| Autori interni: | RUBINO, BRUNO |
| Data di pubblicazione: | 1996 |
| Rivista: | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Abstract: | We study the existence of solutions to the Cauchy problem for a non-homogeneous nonstrictly hyperbolic system of 2 x 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. (C) 1996 Academic Press, Inc. |
| Handle: | http://hdl.handle.net/11697/17772 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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