Dissipative Quasi-Geostrophic Equations with Lp Data
| dc.contributor.author | Wu, Jiahong | |
| dc.date.accessioned | 2020-06-30T17:47:13Z | |
| dc.date.available | 2020-06-30T17:47:13Z | |
| dc.date.issued | 2001-08-03 | |
| dc.description.abstract | We seek solutions of the initial value problem for the 2D dissipative quasi-geostrophic (QG) equation with Lp initial data. The 2D dissipative QG equation is a two dimensional model of the 3D incompressible Navier-Stokes equations. We prove global existence and uniqueness of regular solutions for the dissipative QG equation with sub-critical powers. For the QG equation with critical or super-critical powers, we establish explicit global Lp bounds for its solutions and conclude that any possible finite time singularity must occur in the first order derivative. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wu, J. (2001). Dissipative quasi-geostrophic equations with Lp data. <i>Electronic Journal of Differential Equations, 2001</i>(56), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/11927 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | 2D quasi-geostrophic equation | |
| dc.subject | Initial-value problem | |
| dc.subject | Existence | |
| dc.subject | Uniqueness | |
| dc.title | Dissipative Quasi-Geostrophic Equations with Lp Data | en_US |
| dc.type | Article |