Existence of global entropy solutions to a non-strictly hyperbolic system with a source.
Yan, Rei-Fang (2006)
Revista Colombiana de Matemáticas
Similarity:
Yan, Rei-Fang (2006)
Revista Colombiana de Matemáticas
Similarity:
Alberto Bressan (2002)
Journées équations aux dérivées partielles
Similarity:
This paper provides a survey of recent results concerning the stability and convergence of viscous approximations, for a strictly hyperbolic system of conservation laws in one space dimension. In the case of initial data with small total variation, the vanishing viscosity limit is well defined. It yields the unique entropy weak solution to the corresponding hyperbolic system.
Myriam Lecumberry (2005)
Journées Équations aux dérivées partielles
Similarity:
After a short introduction on micromagnetism, we will focus on a scalar micromagnetic model. The problem, which is hyperbolic, can be viewed as a problem of Hamilton-Jacobi, and, similarly to conservation laws, it admits a kinetic formulation. We will use both points of view, together with tools from geometric measure theory, to prove the rectifiability of the singular set of micromagnetic configurations.
Filipa Caetano (2004)
Revista Matemática Complutense
Similarity:
Following the ideas of D. Serre and J. Shearer (1993), we prove in this paper the existence of a weak solution of the Cauchy problem for a given second order quasilinear hyperbolic equation.
Ammar, Kaouther (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Olivier Glass (2005)
Journées Équations aux dérivées partielles
Similarity:
Liu, Mingbin, Cheng, Zhixin (2007)
Revista Colombiana de Matemáticas
Similarity:
Marie-Josée Jasor, Laurent Lévi (2003)
Annales mathématiques Blaise Pascal
Similarity:
We establish a singular perturbation property for a class of quasilinear parabolic degenerate equations associated with a mixed Dirichlet-Neumann boundary condition in a bounded domain of , . In order to prove the -convergence of viscous solutions toward the entropy solution of the corresponding first-order hyperbolic problem, we refer to some properties of bounded sequences in together with a weak formulation of boundary conditions for scalar conservation laws.