Asymptotic expansions for the system of Beltrami equations

M. M. Sirazhudinov^ab, S. E. Pastukhova^c, S. P. Dgamaludinova<sup>ad

a</sup> Daghestan State University, Makhachkala
^b Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
^c Moscow Institute of Radio-Engineering, Electronics and Automation
^d Daghestan State Univercity of National Economy

Abstract: This paper presents estimates for the difference between the exact solution of the Riemann-Hilbert problem for the Beltrami equations with periodic coefficient, which depends on small parameter, and its approximation. For the first time to the issues of homogenization of the Beltrami equations asymptotic expansion method is involved.

Keywords: Beltrami equation, homogenization, method of asymptotic expansions.

UDC: 517.946

Received: 27.10.2013
Revised: 29.05.2014
Accepted: 30.05.2014

DOI: 10.31029/demr.1.4

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