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1. Reduction of PDEs on Unbounded Domains. Application: Unsteady Water-Waves Problem.

Author

Haragus, M.

Subjects
*NONLINEAR wave equations, *WATER waves, *GRAVITY waves, *HILBERT space
Abstract

Attempts to find a reduced equation for nonlinear water waves travelling on the free surface of an inviscid fluid layer, under the influence of gravity waves. Background on literature regarding the water-wave problem; Construction of a general reduction method for equations in a cylindrical domain; Condition for maximal regularity for differential equations in Hilbert spaces.

Published
1998

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