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.identifier.citation | Wu, J. (2001). Dissipative quasi-geostrophic equations with Lp data. Electronic Journal of Differential Equations, 2001(56), pp. 1-13. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/11927 | |
| 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. | en_US |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| 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 | en_US |
| dc.subject | Initial-value problem | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Uniqueness | en_US |
| dc.title | Dissipative Quasi-Geostrophic Equations with Lp Data | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
