Geodesic
Asymptotic expansions for the system of Beltrami equations
Daghestan Electronic Mathematical Reports, Tome 1 (2014), pp. 79-83

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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. 
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     title = {Asymptotic expansions for the system of {Beltrami} equations},
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M. M. Sirazhudinov; S. E. Pastukhova; S. P. Dgamaludinova. Asymptotic expansions for the system of Beltrami equations. Daghestan Electronic Mathematical Reports, Tome 1 (2014), pp. 79-83. http://geodesic.mathdoc.fr/item/DEMR_2014_1_a3/