Nielsen方程的半负定矩阵的广义梯度系统表示  

A semi-negative definite matrix generalized gradient system representation for Nielsen equations

作　　者：尹明旭 陈向炜 YIN Mingxu;CHEN Xiangwei(Collge of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,China;Collge of Electronic and Electrical Engineering,Shangqiu Normal University,Shangqiu,476000,China)

机构地区：[1]苏州科技大学数学科学学院,江苏苏州215009 [2]商丘师范学院电子电气工程学院,河南商丘476000

出　　处：《商丘师范学院学报》2022年第6期43-48,共6页Journal of Shangqiu Normal University

基　　金：国家自然科学基金资助项目(11372169)。

摘　　要：研究非定常Nielsen方程的具有半负定矩阵的广义梯度系统表示以及解的稳定性.首先给出三种广义梯度系统及其性质.其次,给出完整和非完整系统非定常Nielsen方程转化成具有半负定矩阵的广义梯度系统的条件以及稳定性判据;最后分别列举两类非定常Nielsen方程的算例验证结果的应用并通过数值模拟验证结论准确性.A semi-negative definite matrix generalized gradient system representation for Nielsen equations and the stability of the solution is studied.Firstly, three generalized gradient systems and their properties are obtained.Secondly, the conditions for transforming the unsteady Nielsen equations into a generalized gradient system with a semi-negative definite matrix and the stability criteria are given Finally, examples of two types of unsteady Nielsen equations are listed to verify the application of the results, and the accuracy of the conclusions is verified by numerical simulation.

关 键 词：NIELSEN方程 非完整系统 广义梯度系统 稳定性 数值模拟 

分 类 号：O316[理学—一般力学与力学基础]