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Asymptotic expansions for the system of Beltrami equations
M. M. Sirazhudinovab, S. E. Pastukhovac, S. P. Dgamaludinovaad a 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.
Received: 27.10.2013 Revised: 29.05.2014 Accepted: 30.05.2014
Citation:
M. M. Sirazhudinov, S. E. Pastukhova, S. P. Dgamaludinova, “Asymptotic expansions for the system of Beltrami equations”, Daghestan Electronic Mathematical Reports, 2014, no. 1, 79–83
Linking options:
https://www.mathnet.ru/eng/demr6 https://www.mathnet.ru/eng/demr/y2014/i1/p79
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Abstract page: | 147 | Full-text PDF : | 49 | References: | 48 |
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