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		题名	作者	年代	出处	被引量
	1	Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity显示文摘Under the assumptions that the initial density ρ0 is close enough to 1 and ρ0-1∈Hs+1(R2);u0∈Hs(R2)∩H_∈(R2) for s>2 and 0<ε<1;the authors prove the global existence and uniqueness of smooth solutions to the 2-D inhomogeneous Navier-Stokes equations with the viscous coefficient depending on the density of the fluid.Furthermore,the L2 decay rate of the velocity field is obtained.	Guilong GUI Ping ZHANG	2009	Chinese Annals of Mathematics,Series B2009，30，5：	2
	2	Lagrangian Approach to Global Well-Posedness of the Viscous Surface Wave Equations Without Surface Tension显示文摘In this paper,we revisit the global well-posedness of the classical viscous surface waves in the absence of surface tension effect with the reference domain being the horizontal infinite slab,for which the first complete proof was given in Guo-Tice[Anal.PDE 6,1429-1533(2013)]via a hybrid of Eulerian and Lagrangian schemes.The fluid dynamics are governed by the gravity-driven incompressible Navier-Stokes equations.Even though Lagrangian formulation is most natural to study free boundary value problems for incompressible flows,few mathematical works for global existence are based on such an approach in the absence of surface ten-sion effect,due to breakdown of Beale’s transformation.We develop a mathematical approach to establish global well-posedness based on the Lagrangian framework by analyzing suitable“good unknowns”associated with the problem,which requires no nonlinear compatibility conditions on the initial data.	Guilong Gui	2021	Peking Mathematical Journal2021，4，1：	2
	3	On the well-posedness problem and the scattering problem for DGH equation显示文摘	Tian Lixin Gui Guilong Liu Yue	2005	Comm Math Phy2005，257，3：	1
	4	On the Well-Posedness Problem and the Scattering Problem for the Dullin-Gottwald-Holm Equation 显示文摘	TIAN Lixin GUI Guilong LIU Yue	2005	Commun Math Phys2005，257，3：	1
	5	On the well-posedness problem and the scattering problem for the DullinGottwald-Holm equation显示文摘	Tian Lixin Gui Guilong	2005	Communications in Mathematical Physics2005，257，2：	1
	6	Wave-Breaking and Peakons for a Modified Camassa–Holm Equation显示文摘	Guilong Gui Yue Liu Peter J. Olver Changzheng Qu	2013	Communications in Mathematical Physics2013，，3：	1
	7	Wave-breaking and peakons for a modified Camassa-Holm equation显示文摘	Gui Guilong Liu Yue Olver P J	2013	Comm Math Phy2013，319，：	1

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