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Artifical and physical viscosity solutions for a hyperbolic conservation system |
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| Authors: | Yunguang Lu Mauricio Sepúlveda |
| Affiliation: | 1. Deparatmento de y Matemática Estadística , Universidad Nacional de Colombia , Bogotá , Colombia E-mail: yglu@mathematicas.unal.edu.co;2. Deparatmento de Ingeniería Matemática , Facultad de Ciencias Físicas y Matemáticas , Casilla 160-C, Concepción , Chile E-mail: macuricio@ing-mat.udec.cl |
| Abstract: | In this paper, a new maximum principle is introduced to study positive lower bounds of the density both for the artificial viscosity solutions and for the physical viscosity solutions of a 'hyperbolic conservationsystem derived from the Broadwell model and the global existence of theseviscosity solutions is obtained. We give some simple numerical results fordiscontinuous initial data. |
| Keywords: | Eular equations artificial and physical viscosity invariant regions and maximum principle existence of global solution |