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2 results

  • The Global Attractor of a Damped, Forced Hirota Equation in H1

  • Boling Guo, Zhaohui Huo
  • Journal:
    Canadian Mathematical Bulletin / Volume 53 / Issue 2 / 01 June 2010
    Published online by Cambridge University Press:
    20 November 2018, pp. 295-310
    Print publication:
    01 June 2010
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  • The existence of the global attractor of a damped forced Hirota equation in the phase space ${{H}^{1}}\left( \mathbb{R} \right)$ is proved. The main idea is to establish the so-called asymptotic compactness property of the solution operator by energy equation approach.

  • LOW-REGULARITY SOLUTIONS FOR THE OSTROVSKY EQUATION

  • Zhaohui Huo, Yueling Jia
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 49 / Issue 1 / February 2006
    Published online by Cambridge University Press:
    02 February 2006, pp. 87-100
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  • The well-posedness of the Ostrovsky equation is considered. Local well-posedness for data in $\tilde{H}^s(\mathbb{R})$ $(s\geq-\frac{1}{8})$ and global well-posedness for data in $\tilde{L}^{2}(\mathbb{R})$ are obtained.