2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102129This paper was withdrawn by arXiv admin because it plagiarizes "Jiahong Wu The two-dimensional quasi-geostrophic equation with critical or supercritical dissipation 2005 Nonlinearity 18 139-154."This paper has been withdrawnAnalysis of PDEs35K22, 35Q35, 76U05Dissipative quasi-geostrophic equations with initial datatext