BV Estimates on Lax–Friedrichs' Scheme for a Model of Radiating Gas
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 533-539 |
| Journal / Publication | Applicable Analysis |
| Volume | 83 |
| Issue number | 5 |
| Publication status | Published - May 2004 |
Link(s)
Abstract
In this article, we give a uniform BV estimates and L <sup>1</sup> -stability of solutions to the Lax–Friedrichs' scheme for a model of radiating gas when the strict C–F–L (Courant–Friedrichs–Levy) condition is satisfied. This result implies that the approximate solutions generated by the Lax–Friedrichs' scheme converge to the solution given by the method of vanishing viscosity [C. Lattanzio and P. Marcati (2003). Global well-posedness and relaxation limits of a model for radiating gas. Journal of Differential Equations, 190, 439–465].
Research Area(s)
- Lax–Friedrichs' scheme, BV solution, L1-stability, Radiating gas, AMS Subject Classifications: 35L60, 35L65, 65N12
Citation Format(s)
BV Estimates on Lax–Friedrichs' Scheme for a Model of Radiating Gas. / YANG, Tong; ZHAO, Huijiang.
In: Applicable Analysis, Vol. 83, No. 5, 05.2004, p. 533-539.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
