Servicios Personalizados
Revista
Articulo
Indicadores
- Citado por SciELO
- Accesos
Links relacionados
- Citado por Google
- Similares en SciELO
- Similares en Google
Compartir
Revista Colombiana de Matemáticas
versión impresa ISSN 0034-7426
Rev.colomb.mat. v.41 n.1 Bogotá ene./jun. 2007
1University of Science and Technology of China, Department of Mathematics, Hefei 230026, China.
E-mail: yanjin@mail.ustc.edu.cn
2University of Science and Technology of China, Department of Mathematics, Hefei 230026, China.
E-mail: czx@mail.ustc.edu.cn
3University of Science and Technology of China, Department of Mathematics, Hefei 230026, China.
E-mail: mtao@mail.ustc.edu.cn
In this paper we use the Brouwer-Schauder's fixed point theorem to obtain the existence of local smooth viscosity solutions of the Cauchy problem for the parabolic system
Key words: Hyperbolic conservation laws, viscosity solution, Cauchy problem, a priori estimate.
2000 Mathematics Subject Classification. Primary: 35B40. Secondary: 35L65.
En este artículo usamos el teorema de punto fijo de Brouwer-Schauder para obtener la existencia de soluciones locales de viscosidad suave al problema de Cauchy para el sistema parabólico
Palabras clave: Leyes de conservación hiperbólica, soluciones de viscosidad, problema de Cauchy, estimación a priori.
Texto completo disponible en PDF
[1] Y. G. LU, Hyperbolic conservation laws and the compensated compactess method, Vol. 128, Chapman and Hall, New York, 2002. [ Links ]
[2] Y. G. LU, Convergence of the viscosity method for a nonstrictly hyperbolic system, Acta Math. Sci. 12 (1992), 349-360. [ Links ]
[3] A. Y. LEROUX, Numerical stability for some equations of gas dynamics, Mathematics of Computation 37 (1981), 435-446. [ Links ]
[4] J. SMOLLER, Shock waves and reaction-diffusion equations, Springer-Verlag, Berlin-Heidelberg-New York, 1983. [ Links ]