杨军 English Version (英文版)
职称教授
办公室六号楼M514
邮箱jyang@mail.ccnu.edu.cn


个人简介


开设课程
数学分析、常微分方程、实变函数、泛函分析、微分几何、 高等代数、高等几何 非线性偏微分方程、非线性分析

研究方向
非线性偏微分方程, 非线性分析

教育经历
1995年9月-1999年6月，湖南师范大学数学系（数学教育，理学学士）1999年9月-2002年7月，中国科学院数学与系统科学研究院（基础数学，硕士）2004年8月-2007年7月，香港中文大学数学系（数学，数学哲学博士）

工作经历
2007年9月-2014年2月：深圳大学数学与计算科学学院 讲师2014年2月-至今： 华中师范大学数学与统计学学院 教授

研究成果
1. Wei Juncheng and Yang Jun, Concentration on lines for a singularly perturbed Neumann problem in two-dimensional domains, Indiana University Mathematical Journa l, 56 (2007), no. 6, 3025-3074.Wei Juncheng and Yang Jun, Toda system and interior clustering line concentration for a singular perturbed Neumann problem in two dimensional domains, Discrete and Continuous Dynamical Systems - Series A，22 (2008), no. 3, 465-508.Wei Juncheng and Yang Jun, Solutions with transition layer and spike in an inhomogeneous phase transition model, Journal of Differential Equations, 246 (2009), no.9, 3642-3667.del Pino Manuel, Kowalczyk Michal, Wei Juncheng and Yang Jun, Interface foliation of a minimal submanifold on Riemannian manifolds with positive Ricci curvature, Geometric and Functional Analysis， 20 (2010), no. 4, 918-957.Wei Juncheng and Yang Jun, Toda system and cluster phase transition layers in an inhomogeneous phase transition model, Asymptotic Analysis, 69 (2010), no.3-4, 175-218.
Wang Liping, Wei Juncheng and Yang Jun, On Ambrosetti-Malchiodi-Ni Conjecture for General Hypersurfaces, Communications in Partial Differential Equations, 36 (2011) 12, 2117–2161.Yang Jun, Coexistence phenomenon of concentration and transition of an inhomogeneous phase transition model on surfaces, Discrete and Continuous Dynamical Systems - Series A, 30 (2011), no. 3, 965-994.Wei Juncheng and Yang Jun, Vortex rings pinning for the Gross-Pitaevskii equation in three dimensional space, SIAM Journal on Mathematical Analysis, 44 (2012), No. 6, 3991–4047.Yang Jun and Yang Xiaolin, Clustered interior phase transition layers for an inhomogeneous Allen-Cahn equation on higher dimensional domain, Communications on Pure and Applied Analysis, 12 (2013), no. 1, 303-340.Lin Tai-chia, Wei Juncheng and Yang Jun, Vortex rings for the Gross-Pitaevskii equation in $R^3$，Journal de Mathématiques Pures et Appliquées, 100 (2013), 69–112.Guo Ying and Yang Jun, Concentration on surfaces for a singularly perturbed Neumann problem in three-dimensional domains, J. Differential Equations, 255 (2013) 2220–2266.Ao Weiwei and Yang Jun, Layered solutions with concentration on lines in three-dimensional domains, Analysis and Applications, 12 (2014), no. 2, 161-194.Yang Jun, Vortex structures for Klein-Gordon equation with Ginzburg-Landau nonlinearity, Discrete and Continuous Dynamical Systems - Series A, 34 (2014), no. 5, 2359 - 2388.Musso Monica and Yang Jun, Curve like concentration layers for singularly perturbed nonlinear problem with critical exponents, Communications in Partial Differential Equations, 39 (2014), no. 6, 1048-1103.Wei Juncheng and Yang Jun, Traveling vortex helices for Schr\"odinger Map equations, Transactions of the American Mathematical Society, 368 (2016), no. 4, 2589-2622.

研究项目
2013年度国家自然科学基金面上项目2010年度国家自然科学基金青年基金项目2010年度广东省自然科学基金博士科研启动项目

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