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Water‐Waves Problem with Surface Tension in a Corner Domain II : The Local Well‐Posedness
Author(s) -
Ming Mei,
Wang Chao
Publication year - 2021
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21916
Subject(s) - bounded function , domain (mathematical analysis) , surface tension , a priori and a posteriori , mathematics , work (physics) , mathematical analysis , physics , thermodynamics , philosophy , epistemology
Based on the a priori estimates in our previous work, we continue to investigate the water‐waves problem in a bounded two‐dimensional corner domain in this paper. We prove the local well‐posedness of the solution to the water‐waves system when the contact angles are less than π /16 . © 2020 Wiley Periodicals LLC
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