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姓 名: |
郭玉劲 |
性 别: |
男 |
职 务: |
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职 称: |
研究员 |
通讯地址: |
武汉市武昌区小洪山西30号 |
邮政编码: |
430071 |
电子邮件: |
yjguo@wipm.ac.cn |
电 话: |
027--87198691 |
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简历: |
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郭玉劲,男,博士,研究员,博士生导师。2000--2003年, 师从于华中师范大学邓引斌教授,获得硕士学位(数学);2003--2007年,师从于加拿大皇家科学院院士、加拿大英属哥伦比亚大学Nassif Ghoussoub教授,获得博士学位(数学);2007--2011年,任美国明尼苏达大学Dunham Jackson助理教授;2011--2012年,任加拿大康科迪亚大学LTA助理教授;2012年8月全职回国,工作于中国科学院武汉物理与数学研究所。 先后在微机电系统(MEMS)中的偏微分方程、电磁学中的涡旋问题、玻色-爱因斯坦凝聚(BEC)中的泛函问题等领域做出过一系列有意义的科研成果。出版一部英文研究专著“美国Courant研究所讲义系列之二十”,并在Comm. Pure Appl. Math.以及Proc. Royal Soc. London Ser. A、Poincaré Anal. Non Linéaire等国际期刊上发表二十余篇学术论文。美国数学会网络系统MathSciNet.org显示(截至2016年4月),学术论文已被Arch. Rational Mech. Anal.、Comm. Math. Phys, Adv. in Math.等国际期刊引用的总次数达到420余次(其中论文单篇最高被引85次)。应邀为J. Funct. Anal.、Proc. Royal Soc. London Ser. A以及SIAM J. Math. Anal.等二十多个国际期刊审稿。 |
研究领域: |
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量子多体(物理)系统中的各类变分问题、微机电系统(MEMS)及其它各种物理现象中的偏微分方程问题。 |
代表论著: |
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(英文研究专著) P. Esposito, N. Ghoussoub, and Yujin Guo, Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS, Courant Lecture Notes in Math. 20, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2010. 1. P. Esposito, N. Ghoussoub, and Yujin Guo, Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinear -rity, Comm. Pure Appl. Math. 60 (2007), 1731--1768. 2. N. Ghoussoub and Yujin Guo, On the partial differential equations of electrostatic MEMS devices: stationary case, SIAM J. Math. Anal. 38 (2007), 423--1449. 3. Yujin Guo and X. Y. Zeng, Ground states of pseudo-relativistic Boson stars under the critical stellar mass, Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (6) (2017), 1611--1632. 4. Yujin Guo, C. S. Lin and J. C. Wei, Local uniqueness and refined spike profiles of ground states for two-dimensional attractive Bose-Einstein condensates, SIAM J. Math. Anal. 49 (5) (2017), 3671--3715. 5. Yujin Guo, X. Y. Zeng and H. S. Zhou, Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials, Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), 809--828. 6. Y. B. Deng, Yujin Guo and L. Lu, On the collapse and concentration of Bose- Einstein condensates with inhomogeneous attractive interactions, Calculus of Variations and PDEs 54 (2015), 99--118. 7. Yujin Guo and R. Seiringer, On the mass concentration for Bose-Einstein condensa -tes with attractive interactions, Lett. Math. Phys. 104 (2014), 141--156. 8. Yujin Guo and G.-F. Zheng, Classification and refined singularity of positive solutions for nonlinear Maxwell equations arising in mesoscopic electromagnetism, J. Funct. Anal. 266 (2014), 177--198. 9. Yujin Guo, Dynamical solutions of singular wave equations modeling electrostatic MEMS, SIAM J. Appl. Dynamical Systems 9 (2010), 1135--1163. 10. Yujin Guo, Z. G. Pan and M. J. Ward, Touchdown and pull-in voltage behavior of a MEMS device with varying dielectric properties, SIAM J. Appl. Math. 66 (2005), 309--338. |
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