On the nature of initial-boundary value solutions for dispersive equations

被引：20

作者：

Flyer, N

Fornberg, B

机构：

[1] Natl Ctr Atmospher Res, Boulder, CO 80305 USA

[2] Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2003年 / 64卷 / 02期

关键词：

time-space corner singularities; dispersive equations; initial-boundary value problems;

D O I：

10.1137/S0036139902415853

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If the initial and boundary data for a partial differential equation (PDE) do not obey an infinite set of compatibility conditions, singularities will arise in its solutions. For dissipative equations, these singularities are well localized in both time and space, and an effective numerical remedy is available for accurate computation of initial transients. This study analyzes the nature of similar corner discrepancies for dispersive equations, such as u(t) - u(xxx) = 0 and iu(t) - u(xx) = 0.

引用

页码：546 / 564

页数：19

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