Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417987 | Journal of Mathematical Analysis and Applications | 2015 | 18 Pages |
Abstract
In this paper, we study the sub-critical dissipative quasi-geostrophic equations (Sα). We prove that there exists a unique local-in-time solution for any large initial data θ0 in the space X1â2α(R2) defined by (1). Moreover, we show that (Sα) has a global solution in time if the norms of the initial data in X1â2α(R2) are bounded by 1/4. Also, we prove a blow-up criterion of the local-in-time solution of (Sα).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jamel Benameur, Moez Benhamed,