论文标题
具有多值的Oldroyd模型存在强大的解决方案
Existence of strong solutions for the Oldroyd model with multivalued right-hand side
论文作者
论文摘要
研究了耦合系统的初始值问题。该系统由差分包含和微分方程组成，并建模Oldroyd类型的粘弹性流体的流体流动。差分包含的设定值右侧满足一定的可测量性，连续性和生长条件。使用Kakutani的固定点定理的概括，并应用了单价值情况下的结果，显示了对耦合系统的局部存在（以及小数据的全局存在）。
The initial value problem for a coupled system is studied. The system consists of a differential inclusion and a differential equation and models the fluid flow of a viscoelastic fluid of Oldroyd type. The set-valued right-hand side of the differential inclusion satisfies certain measurability, continuity and growth conditions. The local existence (and global existence for small data) of a strong solution to the coupled system is shown using a generalisation of Kakutani's fixed-point theorem and applying results from the single-valued case.
