We study the behavior of a fluid submitted to a traction in a thin basin with vanishing isotropic viscosity. The model we get links horizontal velocity and pressure limits. We give the exact solution in a particular case and a variational formulation in the general case.
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Shanghai Inst Technol, Sch Sci, Shanghai 200235, Peoples R ChinaShanghai Inst Technol, Sch Sci, Shanghai 200235, Peoples R China
Geng, Yongcai
Li, Yachun
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Shanghai Jiao Tong Univ, Sch Math Sci, MOE LSC, Shanghai 200240, Peoples R China
Shanghai Jiao Tong Univ, SHL MAC, Shanghai 200240, Peoples R ChinaShanghai Inst Technol, Sch Sci, Shanghai 200235, Peoples R China
Li, Yachun
Zhu, Shengguo
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Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
Univ Oxford, Math Inst, Oxford OX2 6GG, EnglandShanghai Inst Technol, Sch Sci, Shanghai 200235, Peoples R China
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Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R ChinaSichuan Univ, Dept Math, Chengdu 610064, Peoples R China
He, Lin
Wang, Yong
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Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R ChinaSichuan Univ, Dept Math, Chengdu 610064, Peoples R China