Convergence of a continuous BGK model for initial boundary-value problems for conservation laws

We consider a scalar conservation law in the quarter plane. This equation is approximated in a continuous kinetic Bhatnagar-Gross-Krook (BGK) model. The convergence of the model towards the unique entropy solution is established in the space of functions of bounded variation, using kinetic entropy i...

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Bibliographic Details
Main Author: Driss Seghir
Format: Article
Language:English
Published: Texas State University 2001-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2001/72/abstr.html