ON A BOUNDARY-VALUE PROBLEM IN THE THEORY OF LINEAR WATER-WAVES

被引：5

作者：

WECK, N

机构：

[1] Universität Gesamthochschule Essen, Fachbereich Mathematik, Essen, D-4300

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1990年 / 12卷 / 05期

关键词：

D O I：

10.1002/mma.1670120504

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A body Ω floating in a fluid is subjected to small periodic displacement. Under idealized conditions the resulting wave pattern can be described by a linear boundary value problem for the Laplacian in an unbounded domain with a non‐coercive boundary condition on part of the boundary. Nevertheless uniqueness can be shown if Ω is confined to certain subsets of the fluid which can be described explicitly. This extends a result of V. G. Maz'ja saying that uniqueness holds provided that the exterior normal for ∂Ω avoids certain directions. Copyright © 1990 John Wiley & Sons, Ltd

引用

页码：393 / 404

页数：12

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