@Article{JPDE-20-203,
author = {Baoquan  Yuan  and Jia Yuan },
title = {The Dissipative Quasi-geostrophic Equation in Spaces Admitting Singular Solutions},
journal = {Journal of Partial Differential Equations},
year = {2007},
volume = {20},
number = {3},
pages = {203--219},
abstract = {<p>This paper studies the Cauchy problem of the dissipative quasi-geostrophic equation in pseudomeasure space PM^{n+1-2α}(\mathbb{R}^n) or Lorentz space L\frac{n}{2α-1, ∞}(\mathbb{R}^n), which admit the singular solutions. The global well-posedness is established provided initial data θ_0(x) are small enough in these spaces. Moreover, the asymptotic stability of solutions in pseudomeasure space is proved. In particular, if the initial data are homo-geneous functions of degree 1 - 2α, the self-similar solutions are also obtained.</p>},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5303.html}
}