Huashui Zhan, Jie Wen
In this article we study the electrorheological fluid equation
where is the distance from the boundary, , and . We show how the degeneracy of on the boundary affects the well-posedness of the weak solutions. In particular, the local stability of the weak solutions is established without any boundary value condition.
Submitted August 12, 2016. Published January 12, 2017.
Math Subject Classifications: 35L65, 35K85, 35R35.
Key Words: Electrorheological fluid equation; boundary degeneracy; Holder's inequality; local stability.
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| Huashui Zhan |
School of Applied Mathematics
Xiamen University of Technology
Xiamen, Fujian 361024, China
| Jie Wen |
School of Sciences
Xiamen, Fujian 361021, China
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