On homogenization of nonlinear hyperbolic equations

Y. Efendiev; B. Popov

doi:10.3934/cpaa.2005.4.295

On homogenization of nonlinear hyperbolic equations

Y. Efendiev^*, B. Popov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English (US)
Pages (from-to)	295-309
Number of pages	15
Journal	Communications on Pure and Applied Analysis
Volume	4
Issue number	2
DOIs	https://doi.org/10.3934/cpaa.2005.4.295
State	Published - Jun 2005
Externally published	Yes

Keywords

Homogenization
Hyperbolic
Nonlinear
Riemann

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2005.4.295

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title = "On homogenization of nonlinear hyperbolic equations",

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.",

keywords = "Homogenization, Hyperbolic, Nonlinear, Riemann",

author = "Y. Efendiev and B. Popov",

year = "2005",

month = jun,

doi = "10.3934/cpaa.2005.4.295",

language = "English (US)",

volume = "4",

pages = "295--309",

journal = "Communications on Pure and Applied Analysis",

issn = "1534-0392",

publisher = "American Institute of Mathematical Sciences",

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T1 - On homogenization of nonlinear hyperbolic equations

AU - Efendiev, Y.

AU - Popov, B.

PY - 2005/6

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N2 - 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.

AB - 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.

KW - Homogenization

KW - Hyperbolic

KW - Nonlinear

KW - Riemann

UR - http://www.scopus.com/inward/record.url?scp=33746492782&partnerID=8YFLogxK

U2 - 10.3934/cpaa.2005.4.295

DO - 10.3934/cpaa.2005.4.295

M3 - Article

AN - SCOPUS:33746492782

SN - 1534-0392

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SP - 295

EP - 309

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 2

ER -

On homogenization of nonlinear hyperbolic equations

Abstract

Keywords

ASJC Scopus subject areas

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