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Global well-posedness for the critical dissipative (2010).
| Content Provider | CiteSeerX |
|---|---|
| Abstract | Key Words: the critical quasi-geostrophic equations, the Littlewood-Paley decomposition, Besov spaces, scaling invariant spaces In this paper, we study the critical dissipative quasi-geostrophic equations in scaling invariant spaces. We prove that there exists a global in time solution for small data θ0 ∈ L ∞ ∩ ˙ H 1 such that R(θ0) ∈ L ∞ , where R is a Riesz transform. As a corollary, we prove that if in addition, θ0 ∈ ˙ B 0 ∞,q, 1 ≤ q < 2, is small enough, then θ ∈ ˜ L ∞ t ˙B 0 ∞,q ∩ ˜ L 1 t ˙ B 1 ∞,q. 1 |
| File Format | |
| Publisher Date | 2010-01-01 |
| Access Restriction | Open |
| Subject Keyword | Critical Dissipative Global Well-posedness Invariant Space Critical Dissipative Quasi-geostrophic Equation Littlewood-paley Decomposition Time Solution Critical Quasi-geostrophic Equation Riesz Transform Besov Space Key Word Small Data |
| Content Type | Text |
