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On a Galerkin‐averaging method for weakly non‐linear wave equations

M. S. Krol, W. Eckhaus

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Source: Crossref

Published: Sep 1, 1989

DOI: 10.1002/mma.1670110506

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Source abstract

Abstract Solutions of weakly non‐linear wave equations can be approximated using Galerkin's procedure combined with the averaging method. In this paper existence and uniqueness of solutions are proved in suitably chosen function spaces. Error‐estimates lead us to results on asymptotic validity of the approximations. Some applications are indicated.

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On a Galerkin‐averaging method for weakly non‐linear wave equations — Mathematical Frontier Network