On  homogenization of nonlinear  hyperbolic equations

Y. Efendiev; B. Popov

doi:10.3934/cpaa.2005.4.295

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2005, Volume 4, Issue 2: 295-309. Doi: 10.3934/cpaa.2005.4.295

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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

Received: June 30, 2004

Revised: December 31, 2004

Published: May 2005

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Abstract

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.

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Mathematics Subject Classification: 35B40.

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