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June  2005, 4(2): 295-309. doi: 10.3934/cpaa.2005.4.295

On homogenization of nonlinear hyperbolic equations

Y. Efendiev 1, and  B. Popov 1,

1. 

Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, United States

Received  July 2004 Revised  January 2005 Published  March 2005

In this paper we study homogenization of nonlinear hyperbolic equations. The weak limit of the solutions is investigated by approximating the flux functions with piecewise linear functions. We study mostly Riemann problems for layered velocity fields as well as for the heterogeneous divergence free velocity fields.
Keywords: Homogenization, nonlinear, Riemann, hyperbolic.
Mathematics Subject Classification: 35B40.
Citation: Y. Efendiev, B. Popov. On homogenization of nonlinear hyperbolic equations. Communications on Pure & Applied Analysis, 2005, 4 (2) : 295-309. doi: 10.3934/cpaa.2005.4.295
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