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DOI: 10.23671/VNC.2012.14.11001

Asymptotic integration of the linear parabolic problem with the high frequency coefficients in the critical case

Gusachenko V. V. , Levenshtam, V. B.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 4.
Abstract:
A concrete (illustrative) example of the linear parabolic problem with two independent variables and high-frequency coefficients in time is considered. The corresponding stationary homogeneous averaged problem is degenerate. Using the method developed recently for an ordinary differential equations [1] and the method of boundary layer a full formal asymptotics of the periodic solution in time is constructed.
Keywords: parabolic problem, high-frequency coefficient, averaged problem, full asymptotics
Language: Russian Download the full text  
For citation: Gusachenko V. V., Levenshtam V. B. Asymptotic integration of the linear parabolic problem with the high frequency coefficients in the critical case. Vladikavkazskij matematicheskij zhurnal [Vladikavkaz Math. J.], 2012, vol. 14, no. 4, pp.19-23. DOI 10.23671/VNC.2012.14.11001


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