2019
Том 71
№ 11

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Analysis of dissipative structures based on the gauss variational principle

Hafiychuk V. V., Lubashevsky I.O.

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Abstract

The Gauss variational principle is suggested as a method of finding the solutions of dissipative systems. Using as an example a system of two reaction-diffusion equations, approximate solutions are found for the case of auto-solitons and periodic dissipative structures.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 9, pp 1085-1090.

Citation Example: Hafiychuk V. V., Lubashevsky I.O. Analysis of dissipative structures based on the gauss variational principle // Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1186–1192.

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