Global large, smooth solutions of the 2D surface quasi‐geostrophic equations. (29th March 2021)

• Record Type: Journal Article
• Authors: Zhang, Huali; Li, Jinlu
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 13(2021)
• Page Start: 10076
• Page End: 10083
• Publication Date: 2021-03-29
• Subjects: global smooth solutions -- large initial data -- SQG equation -- supercritical dissipation; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7392
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we prove the global regularity of smooth solutions to 2D surface quasi‐geostrophic (SQG) equations with supercritical dissipation for a class of large initial data, where the velocity and temperature can be arbitrarily large in spaces L ∞ ( ℝ 2 ) and H 3 ( ℝ 2 ) . This result can be seen as an improvement work of Liu et al (2019) for it's without any smallness hypothesis of the L ∞ ( ℝ 2 ) norm of the initial data.