A differentiation index for partial differential-algebraic equations

被引：52
作者：
Martinson, WS
Barton, PI
机构：
[1] Cargill Inc, Proc Dev Grp, Minneapolis, MN 55440 USA
[2] MIT, Dept Chem Engn, Cambridge, MA 02139 USA
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2000年 / 21卷 / 06期
关键词：
index; consistent initialization; Cauchy data; partial differential equations; differentiation index; Navier-Stokes equations;
D O I：
10.1137/S1064827598332229
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A differentiation index for nonlinear partial differential-algebraic equations is presented. Determination of the differentiation index with respect to a direction in the space of independent variables uncovers all equations that must be satis ed by Cauchy data on the hyperplane orthogonal to that direction. This index is thus a generalization of the differentiation index of differential-algebraic equations. The motivation for this work is consistent initialization of partial differential-algebraic systems. The analysis is demonstrated through several examples, including some taken from fluid dynamics and chemical engineering.
引用
收藏
页码：2295 / 2315
页数：21
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