Guilong Gui

Xiangtan University — China

Mathematics · Physical Sciences

24h-index2.1kcitations62works1.62yr avg
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Research Topics

Advanced Mathematical Physics Problems(52), Navier-Stokes equation solutions(36), Nonlinear Waves and Solitons(24), Computational Fluid Dynamics and Aerodynamics(15), Nonlinear Photonic Systems(15)

Publications62 total

Global stability of the compressible viscous surface waves in an infinite layer
Pure and Applied Analysis·2025
Global refined Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes equations with large density
Communications in Partial Differential Equations·2025· 4 cited
Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations
Journal of Mathematical Fluid Mechanics·2025· 3 cited
Global well-posedness of 3-D density-dependent incompressible MHD equations with variable resistivity
arXiv (Cornell University)·2025Open Access
Energy conservation for compressible fluid systems with Korteweg stress tensors
Journal of Differential Equations·2025· 1 cited
Global refined Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes equations with large density
arXiv (Cornell University)·2024Open Access
Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion
Journal of Differential Equations·2024
Low mach Number Limit of the Viscous and Heat Conductive Flow with general pressure law on torus
arXiv (Cornell University)·2024Open Access
On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces
Journal of Differential Equations·2024· 8 cited
Construction of low regularity strong solutions to the viscous surface wave equations
arXiv (Cornell University)·2024Open Access
On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces
arXiv (Cornell University)·2023· 1 citedOpen Access
Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion
arXiv (Cornell University)·2023Open Access
Low Regularity Global Well-Posedness of Axisymmetric Mhd Equations with Vertical Dissipation and Magnetic Diffusion
SSRN Electronic Journal·2023Open Access
Global stability of the compressible viscous surface waves in an infinite layer
arXiv (Cornell University)·2022· 2 citedOpen Access
Semiclassical Limit of Gross--Pitaevskii Equation with Dirichlet Boundary Condition
SIAM Journal on Mathematical Analysis·2022· 3 cited
Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces
Archive for Rational Mechanics and Analysis·2021· 22 cited
On a two dimensional nonlocal shallow-water model
Advances in Mathematics·2021· 12 cited
Lagrangian Approach to Global Well-Posedness of the Viscous Surface Wave Equations Without Surface Tension
Peking Mathematical Journal·2020· 28 cited
Lagrangian approach to global well-posedness of the viscous surface wave equations without surface tension
arXiv (Cornell University)·2019· 3 citedOpen Access
Semiclassical limit of Gross-Pitaevskii equation with Dirichlet boundary condition
arXiv (Cornell University)·2019Open Access
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Frequent Co-authors

Yue Liu(12), Hammadi Abidi(8), Lixin Tian(7), Changzheng Qu(3), Ping Zhang(3), Xiaolian Ai(3), Ping Zhang(3), Ying Fu(2), Yue Liu(2), Ping Zhang(2), Robin Ming Chen(2), Yue Liu(2), Min Zhu(2), Yancan Li(2), Peter J. Olver(1), Ping Zhang(1), Ting Luo(1), Junwei Sun(1), Dongfen Bian(1), Yue Liu(1)