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The Asymptotic Behavior of the Hyperbolic Conservation Laws with Relaxation on the Quarter-Plane

โœ Scribed by Nishibata, Shinya; Yu, Shih-Hsien

Book ID
118200127
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
365 KB
Volume
28
Category
Article
ISSN
0036-1410

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๐Ÿ“œ SIMILAR VOLUMES

The Initial Boundary Value Problems for
The Initial Boundary Value Problems for Hyperbolic Conservation Laws with Relaxation
โœ Shinya Nishibata ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 655 KB

The hyperbolic conservation laws with relaxation appear in many physical models such as those for gas dynamics with thermo-non-equilibrium, elasticity with memory, flood flow with friction, traffic flow, etc.. The main concern of this article is the long-time effect of the relaxations on the boundar

Convergence of a continuous BGK model fo
Convergence of a continuous BGK model for conservation laws on the quarter plane
โœ D. Seghir ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 294 KB

we consider a scalar conservation law in the quarter plan. This equation is approximated in a kinetic BGK model with infinite set of velocities. The convergence is established in the general BV framework, without special restrictions on the flux nor on the equilibrium problem's data.

The effects of slope limiting on asympto
The effects of slope limiting on asymptotic-preserving numerical methods for hyperbolic conservation laws
โœ Ryan G. McClarren; Robert B. Lowrie ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 413 KB

Many hyperbolic systems of equations with stiff relaxation terms reduce to a parabolic description when relaxation dominates. An asymptotic-preserving numerical method is a discretization of the hyperbolic system that becomes a valid discretization of the parabolic system in the asymptotic limit. We