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Local well-posedness for the 2D non-dissipative quasi-geostrophic equation in Besov spaces

✍ Scribed by Henggeng Wang; Houyu Jia

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 476 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.07.035

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## Abstract In this paper, we consider local well‐posedness and ill‐posedness questions for the fractal Burgers equation. First, we obtain the well‐posedness result in the critical Sobolev space. We also present an unconditional uniqueness result. Second, we show the ill‐posedness from the point of