The well‐posedness of the double‐diffusive convection system in a bounded domain. (26th April 2018)

• Record Type: Journal Article
• Authors: Chen, Fei; Guo, Boling; Zeng, Lan
• Other Names: Aristidou Andreas guestEditor.; Hildenbrand Dietmar guestEditor.; Staples George Stacey guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 11(2018)
• Page Start: 4327
• Page End: 4336
• Publication Date: 2018-04-26
• Subjects: double‐diffusive convection -- initial and boundary value problem -- well‐posedness; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4895
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we consider the well‐posedness of the initial and boundary value problem for the double‐diffusive convection system in a bounded domain Ω ⊂ R 3 . We first prove the local existence of the unique strong solution with large initial data in H 0 1 ( Ω ) and then extend it to a global one provided the L 2 norm of the initial data is small.