57 citations · 106 across the 17 of their papers we have counts for
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Lagrangian approach to global well-posedness of the viscous surface wave equations without surface tension
Guilong Gui
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 i…
Semiclassical limit of Gross-Pitaevskii equation with Dirichlet boundary condition
Guilong Gui, Ping Zhang
In this paper, we justify the semiclassical limit of Gross-Pitaevskii equation with Dirichlet boundary condition on the 3-D upper space under the assumption that the leading order…
Global well-posedness for the 2-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces
Hammadi Abidi, Guilong Gui
Without any smallness assumption, we prove the global unique solvability of the 2-D incompressible inhomogeneous Navier-Stokes equations with initial data in the critical Besov spa…
Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations
Guilong Gui, Chao Wang, Yuxi Wang
In this paper, we consider the 3-D motion of viscous gas with the vacuum free boundary. We use the conormal derivative to establish local well-posedness of this system. One of impo…