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EnglishThis paper is devoted to the compactness framework and the convergence theorem for the Lax– Friedrichs and Godunov schemes applied to a 2 × 2 system of non-strictly hyperbolic nonlinear conservation laws that arises from mathematical models for oil recovery. The presence of a degeneracy in the hyperbolicity of the system requires a careful analysis of the entropy functions, whose regularity is necessary to obtain the result. For this purpose, it is necessary to combine the classical techniques referring to a singular Euler– Poisson–Darboux equation with the compensated compactness method.
http://hdl.handle.net/11697/14191| Titolo: | Convergence of Lax–Friedrichs and Godunov schemes for a nonstrictly hyperbolic system of conservation laws arising in oil recovery |
| Autori interni: | SAMPALMIERI, ROSELLA COLOMBA RUBINO, BRUNO |
| Data di pubblicazione: | 2016 |
| Rivista: | CONTINUUM MECHANICS AND THERMODYNAMICS |
| Handle: | http://hdl.handle.net/11697/14191 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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