107 citations · 745 across the 77 of their papers we have counts for
79 papers
New Approach for Vorticity Estimates of Solutions of the Navier-Stokes Equations
Gui-Qiang G. Chen, Zhongmin Qian
We develop a new approach for regularity estimates, especially vorticity estimates, of solutions of the three-dimensional Navier-Stokes equations with periodic initial data, by exp…
Partial Differential Equations of Mixed Type: Analysis and Applications
Gui-Qiang G. Chen
Partial differential equations (PDEs) are at the heart of many mathematical and scientific advances. While great progress has been made on the theory of PDEs of standard types duri…
Global Spherically Symmetric Solutions of the Multidimensional Full Compressible Navier-Stokes Equations with Large Data
Gui-Qiang G. Chen, Yucong Huang, Shengguo Zhu
We establish the global-in-time existence of solutions of the Cauchy problem for the full Navier-Stokes equations for compressible heat-conducting flow in multidimensions with init…
Two-Dimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems
Gui-Qiang, G. Chen
We are concerned with global solutions of multidimensional Riemann problems for nonlinear hyperbolic systems of conservation laws, focusing on their global configurations and struc…
Isothermal Limit of Entropy Solutions of the Euler Equations for Isentropic Gas Dynamics
Gui-Qiang G. Chen, Fei-Min Huang, Tian-Yi Wang
We are concerned with the isothermal limit of entropy solutions in , containing the vacuum states, of the Euler equations for isentropic gas dynamics. We prove that the e…
Multidimensional Transonic Shock Waves and Free Boundary Problems
Gui-Qiang G. Chen, Mikhail Feldman
We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics. In this exp…