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Global Solvability of a Free Boundary Three-Dimensional Incompressible Viscoelastic Fluid System with Surface Tension |
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| Authors: | Li Xu Ping Zhang Zhifei Zhang |
| Institution: | 1. LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, CAS, Beijing, 100190, China 2. Academy of Mathematics and Systems Science, Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing, 100190, China 3. Department of Mathematics, Beijing University, Beijing, 100080, China |
| Abstract: | Motivated by Beale (Commun Pure Appl Math 34:359–392, 1981; Arch Ration Mech Anal 84:307–352, 1983/1984), we investigate the global well-posedness of a free boundary problem of a three-dimensional incompressible viscoelastic fluid system in an infinite strip and with surface tension on the upper free boundary, provided that the initial data is sufficiently close to the equilibrium state. |
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