Diffusive BGK Approximations for Nonlinear Multidimensional Parabolic
F. Bouchut, F.R. Guarguaglini, and R. Natalini
We introduce a class of discrete velocity BGK type
approximations to multidimensional scalar nonlinearly diffusive
conservation laws. We prove the well-posedness of these models,
a priori bounds and kinetic entropy inequalities that allow
to pass to the limit towards the unique entropy solution
to the diffusive but possibly degenerate equation, recently
obtained by Carrillo. Examples of such BGK models are provided.
- Available as PostScript.
- F. Bouchut,
- F.R. Guarguaglini,
- R. Natalini,
- Publishing information:
- Quaderno IAC n. 10/1999
- Submitted by:
January 13 2000.
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Last modified: Thu Jan 13 17:02:41 2000