人物經歷
數學與統計學院碩士導師。
研究方向
偏微分方程的控制理論;對代數學亦有濃厚興趣,
國家自然科學基金青年基金,定常Navier-Stokes方程的形狀最優設計問題。
主要貢獻
1.Gengshen Wang, Lijuan Wang and Donghui Yang, Shape Optimization of exterior domain Stationary Navier-Stokes Equations, SIAM.J.Control Optim., 45, 2(2006), 532-547.
2.G.Wang, L.Wang, and Donghui Yang,Shape Optimization of Stationary Navier-Stokes Equations, in: "Control Theory and Related Topics", 323-337, World Sci.Publ., Hackensack, NJ, 2007.
3.Gengshen Wang and Donghui Yang, Decomposition of vector-valued divergence free Sobolev functions and shape optimization for stationary Navier-Stokes equations, Communication in Partial Differential Equations, 33(2008), 429-449.
4.Donghui Yang, Shape Optimization of Stationary Navier-Stokes Equation overclasses of Convex Domains, Nonlinear Analysis: Theory, Methods & Applications, 71(2009), 6202-6211.
5.Bao-Zhu Guo and Donghui Yang, Some Compact Classes of Open Sets under Hausdorff Distance and Application to Shape Optimization, SIAM J.Control Optim., 50(2012), 222-242.
6.Donghui Yang and G.L.Zhang, Proper seminorms of quaternions, J.Math.(Chinese, Wuhan), 25, 1(2005), 91-94.