In this paper we study an evolution free boundary problem for the two-dimensional Stokes system in the case in which the free boundary intersects the solid boundary of a container. We prove existence and uniqueness of solutions for this problem in suitable classes of functions and under suitable smallness conditions for the initial data. For these solutions the contact point moves with an uniform velocity with respect to the container.
机构:
Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R ChinaJinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
Liu, Shuangqian
Yin, Haiyan
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Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R ChinaJinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
Yin, Haiyan
Zhu, Changjiang
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South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R ChinaJinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
机构:
Waseda Univ, Dept Math Sci, Sch Sci & Engn, Shinjyuku Ku, Tokyo 1698555, JapanWaseda Univ, Dept Math Sci, Sch Sci & Engn, Shinjyuku Ku, Tokyo 1698555, Japan