CAJ | 학술논문

目的讨论不可压缩非牛顿粘性流体流动Dirichlet边值问题周期解的存在性. 此问题是在研究聚合物加工中提出来的,它描述了缝模中不可压缩非牛顿粘性流体非定常流动的规律. 方法应用单调算子理论和Schauder不动点定理进行研究. 结果与结论在合理的条件下,证明了方程组周期解的存在性定理.
목적토론불가압축비우돈점성류체류동Dirichlet변치문제주기해적존재성. 차문제시재연구취합물가공중제출래적,타묘술료봉모중불가압축비우돈점성류체비정상류동적규률. 방법응용단조산자이론화Schauder불동점정리진행연구. 결과여결론재합리적조건하,증명료방정조주기해적존재성정리.
Aim To discuss the existence of periodic solutions for the first boundary problem of incompressible non-Newtonian fluids, a problem arising from polymer processing and concerned with the first initial-boundary value problem of nonstationary flow of the non-Newtonian viscous incompressible fluids through slit dice. Methods The monotone operator theory and Schauder s fixed point theorem were used. Results and Conclusion The existence theorem of periodic solutions of a Dirichlet problem is proved under reasonable conditions.