Volume no :2, Issue no: 1, August (2009)

Journal of Pure and Applied Mathematics: Advances and Applications

ADMISSIBLE WEAK SOLUTION OF A CONSERVATION LAW BY GLIMM METHOD AND THE POLYGONAL APPROXIMATIONS OF SOLUTIONS

Author's: Ricardo E. Ferreira and Cezar I. Kondo
Pages: [33] - [48]
Received Date: June 30, 2009
Submitted by:

Abstract

In this paper, we propose an alternative construction based on the Glimm’s random choice method [4] and the polygonal approximations of solutions by Dafermos [3] to get an admissible weak solution to the single conservation law.

Keywords

conservation law, polygonal approximations of solutions, Glimm’s random choice method.