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Convergence of a continuous BGK model for conservation laws on the quarter plane

โœ Scribed by D. Seghir

Book ID
104349644
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
294 KB
Volume
16
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Convergence of a discrete-velocity model
Convergence of a discrete-velocity model for the Boltzmann-BGK equation
โœ L Mieussens ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 825 KB

We prove the convergence of a conservative and entropic discrete-velocity model for the Bathnagar-Gross-Krook (BGK) equation. In this model, the approximation of the Maxwellian is based on a discrete entropy minimization principle. The main difficulty, due to its implicit definition, is to prove tha