Published

2006-01-01

Existence of global entropy solutions to a non-strictly hyperbolic system with a source

Keywords:

Entropy solution, Kinetic formulation, The maximum principle, 2000 Mathematics Subject Classification, Primary: 35D05 (en)

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Authors

  • University of Aeronautics & Astronautics, China

Abstract. In this paper we use the theory of compensated compactness coupled with some basic ideas of the Kinetic formulation to establish an existence theorem for global entropy solutions to the non-strictly hyperbolic system with a source.

                 ρ t + (ρ u)x   = U (ρ,u,x,t)

  ut + (u2/2 + P (ρ))x     =  V (ρ,u,x,t)

En este artículo usamos la teoría de la compacidad compensada asociada con algunas ideas básicas de formulación Kinetica para establecer un teorema de existencia para soluciones de entropía global del sistema no estrictamente hiperbólico con fuente.

               ρ t + (ρ u)x   = U (ρ,u,x,t)

ut + (u2/2 + P (ρ))x     =  V (ρ,u,x,t)

References

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How to Cite

APA

Rei-Fang. (2006). Existence of global entropy solutions to a non-strictly hyperbolic system with a source. Revista Colombiana de Matemáticas, 40(1), 53–64. https://revistas.unal.edu.co/index.php/recolma/article/view/94671

ACM

[1]
Rei-Fang 2006. Existence of global entropy solutions to a non-strictly hyperbolic system with a source. Revista Colombiana de Matemáticas. 40, 1 (Jan. 2006), 53–64.

ACS

(1)
Rei-Fang. Existence of global entropy solutions to a non-strictly hyperbolic system with a source. rev.colomb.mat 2006, 40, 53-64.

ABNT

REI-FANG. Existence of global entropy solutions to a non-strictly hyperbolic system with a source. Revista Colombiana de Matemáticas, [S. l.], v. 40, n. 1, p. 53–64, 2006. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/94671. Acesso em: 22 jan. 2025.

Chicago

Rei-Fang. 2006. “Existence of global entropy solutions to a non-strictly hyperbolic system with a source”. Revista Colombiana De Matemáticas 40 (1):53-64. https://revistas.unal.edu.co/index.php/recolma/article/view/94671.

Harvard

Rei-Fang (2006) “Existence of global entropy solutions to a non-strictly hyperbolic system with a source”, Revista Colombiana de Matemáticas, 40(1), pp. 53–64. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/94671 (Accessed: 22 January 2025).

IEEE

[1]
Rei-Fang, “Existence of global entropy solutions to a non-strictly hyperbolic system with a source”, rev.colomb.mat, vol. 40, no. 1, pp. 53–64, Jan. 2006.

MLA

Rei-Fang. “Existence of global entropy solutions to a non-strictly hyperbolic system with a source”. Revista Colombiana de Matemáticas, vol. 40, no. 1, Jan. 2006, pp. 53-64, https://revistas.unal.edu.co/index.php/recolma/article/view/94671.

Turabian

Rei-Fang. “Existence of global entropy solutions to a non-strictly hyperbolic system with a source”. Revista Colombiana de Matemáticas 40, no. 1 (January 1, 2006): 53–64. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/94671.

Vancouver

1.
Rei-Fang. Existence of global entropy solutions to a non-strictly hyperbolic system with a source. rev.colomb.mat [Internet]. 2006 Jan. 1 [cited 2025 Jan. 22];40(1):53-64. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/94671

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