Well-posedness of quasi-geostrophic equations with data in Besov-QQ spaces

By wavelets and multi-resolution analysis, we convert the bilinear estimate on tent spaces associated with Besov-QQ spaces Ḃp,pγ1,γ2(Rn) to the estimates of the numerical quantities. As an application, we get the well-posedness of the quasi-geostrophic equations with initial data in Ḃp,pγ1,γ2(R2).