Water‐Waves Problem with Surface Tension in a Corner Domain II: The Local Well‐Posedness

Water‐Waves Problem with Surface Tension in a Corner Domain II: The Local Well‐Posedness

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 Peri...

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Veröffentlicht in:Communications on pure and applied mathematics 2021-02, Vol.74 (2), p.225-285
Hauptverfasser: Ming, Mei, Wang, Chao
Format: Artikel
Sprache:eng
Schlagworte:
Contact angle
Domains
Surface tension
Well posed problems
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Zusammenfassung: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
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.21916