Long time decay to the solution to the 2D-DQG Equation

Jamel Benameur; Moez Benhamed

Long time decay to the solution to the 2D-DQG Equation

Analysis of PDEs 2015-05-26 v2

Authors: Jamel Benameur , Moez Benhamed

Abstract

In \cite{JAMH1}, we prove the well posedness of the quasi-geostrophic equation $(QG)_{\alpha}\;,1/2<\alpha\leq 1$ , in the space introduced by Z. Lei and F. Lin in \cite{ZY1}. In this chapter we discuss the long time behaviour. Mainly, we prove that $\|\theta\|_{{\mathcal X}^{1-2\alpha}}$ decays to zero as time goes to infinity.

Keywords

quasi-geostrophic equation long time decay well-posedness asymptotic behavior dissipative systems

Cite

@article{arxiv.1408.5501,
  title  = {Long time decay to the solution to the 2D-DQG Equation},
  author = {Jamel Benameur and Moez Benhamed},
  journal= {arXiv preprint arXiv:1408.5501},
  year   = {2015}
}

Comments

3 pages. arXiv admin note: text overlap with arXiv:0710.5201 by other authors

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