Variational principles for advection-diffusion problems

被引：1
|
作者：
Auchmuty, Giles [1 ]
机构：
[1] Univ Houston, Dept Math, Houston, TX 77204 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 06期
关键词：
Advection-diffusion equations; Mixed boundary conditions; Variational principles; BOUNDARY-VALUE-PROBLEMS; EIGENPROBLEMS;
D O I：
10.1016/j.camwa.2017.09.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Variational principles for linear and semilinear advection-diffusion problems with velocity field given by potential flow are described and analyzed. Mixed Dirichlet and prescribed flux conditions are treated. Existence and uniqueness results are proved and equivalent integral operator equations are found. A positive multiplier function related to the potential of the flow is used to change the system to divergence form. The dependence of the solution on inhomogeneous flux boundary data is determined. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1882 / 1886
页数：5
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