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long Gui

Jiangsu University

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Featured researches published by long Gui.

Communications in Partial Differential Equations | 2007

On the Cauchy Problem for the Ostrovsky Equation with Positive Dispersion

Guilong Gui; Yue Liu

In this paper we mainly study the Cauchy problem for the Ostrovsky equation with positive dispersion in the Sobolev space H s of lower order s. Using the crucial bilinear estimates in the Fourier transform restriction spaces related to the Ostrovsky equation, we establish local well-posedness in H s with any and consequently global well-posedness due to the H 1 conservation law.

Journal of Functional Analysis | 2010

On the global existence and wave-breaking criteria for the two-component Camassa–Holm system

Guilong Gui; Yue Liu

Communications in Mathematical Physics | 2013

Wave-Breaking and Peakons for a Modified Camassa–Holm Equation

Guilong Gui; Yue Liu; Peter J. Olver; Changzheng Qu

Communications in Mathematical Physics | 2005

On the Well-Posedness Problem and the Scattering Problem for the Dullin-Gottwald-Holm Equation

Lixin Tian; Guilong Gui; Yue Liu

Mathematische Zeitschrift | 2011

On the Cauchy problem for the two-component Camassa–Holm system

Guilong Gui; Yue Liu

Indiana University Mathematics Journal | 2008

Global existence and blow-up phenomena for the peakon b-family of equations

Guilong Gui; Yue Liu; Lixin Tian

Journal of Differential Equations | 2013

On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity

Ying Fu; Guilong Gui; Yue Liu; Changzheng Qu

arXiv: Analysis of PDEs | 2011

On the Cauchy problem for the integrable Camassa-Holm type equation with cubic nonlinearity

Ying Fu; Guilong Gui; Yue Liu; Changzheng Qu

Journal of Differential Equations | 2008

On the Cauchy problem for the generalized shallow water wave equation

Lixin Tian; Guilong Gui; Yue Liu

Journal of Differential Equations | 2016

On 2-D Boussinesq equations for MHD convection with stratification effects

Dongfen Bian; Guilong Gui

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Yue Liu

University of Texas at Arlington

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Changzheng Qu

Ningbo University

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Lixin Tian

Jiangsu University

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Dongfen Bian

Beijing Institute of Technology

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Peter J. Olver

University of Minnesota

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