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.
机构:
Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R ChinaCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Jiu, Quansen
Lopes Filho, Milton C.
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机构:
Univ Fed Rio de Janeiro, Inst Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, RJ, BrazilCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Lopes Filho, Milton C.
Niu, Dongjuan
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机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R ChinaCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
Niu, Dongjuan
Nussenzveig Lopes, Helena J.
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机构:
Univ Fed Rio de Janeiro, Inst Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, RJ, BrazilCapital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
机构:
Wuhan Univ Technol, Dept Math, Sch Sci, Wuhan 430070, Peoples R ChinaWuhan Univ Technol, Dept Math, Sch Sci, Wuhan 430070, Peoples R China
Ding, Min
Zhu, Shengguo
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机构:
Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R ChinaWuhan Univ Technol, Dept Math, Sch Sci, Wuhan 430070, Peoples R China
Zhu, Shengguo
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,
2017,
107
(03):
: 288
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314