A MIXED PROBLEM FOR THE BIHARMONIC EQUATION IN A WEDGE WITH APPLICATION TO DISSIPATING LINEAR WAVES ON A PLANE BEACH

被引：5

作者：

EHRENMARK, UT

机构：

[1] Department of Computing and Information Systems, City of London Polytechnic, London EC3

来源：

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 1992年 / 45卷

关键词：

D O I：

10.1093/qjmam/45.3.407

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Infinitesimal waves on the uncontaminated surface of a viscous fluid over a plane beach can be described asymptotically in the near field by biharmonic stream functions. First-order solutions are established for the mixed homogeneous problem in a wedge-shaped domain where conditions of zero velocity are met on one side of the wedge and conditions of zero stress are met on the other. Computations indicate that classical series expansions have more limited applicability as the wedge angle decreases.

引用

页码：407 / 433

页数：27

共 19 条

[1]

Ditkin V. A., 1965, INTEGRAL TRANSFORMS

[2] ON VISCOUS WAVE MOTION OVER A PLANE BEACH [J].