Gui-Qiang G. Chen's main research areas lie in nonlinear partial differential equations (PDEs), nonlinear analysis, and their connections/applications to mechanics, geometry, other areas of mathematics and science. His recent research interests include nonlinear hyperbolic conservation laws, nonlinear PDEs of mixed type, shock wave theory, and related free boundary problems, singular limit problems, nonlinear stability/instability problems, weak convergence methods, and other nonlinear problems/methods. His research interests also include measure-theoretical analysis, geometric PDEs, stochastic PDEs, statistical physics, and numerical analysis.
研究方向
Navier-Stokes equation solutionsComputational Fluid Dynamics and AerodynamicsAdvanced Mathematical Physics ProblemsGeometric Analysis and Curvature FlowsFluid Dynamics and Turbulent Flows