呂中學,江蘇師範大學數學與統計學院教授、博士、碩士生導師,江蘇省“青藍工程”中青年學術帶頭人、江蘇省教學委員會常務理事。
基本介紹
- 中文名:呂中學
- 職業:教師
- 專業方向:非線性Schrödinger方程組、積分方程組以及自由不連續問題
- 教學職稱:教授
- 任職院校:江蘇師範大學
人物經歷,研究方向,學術成果,
人物經歷
先後到美國、台灣等境外高校訪問研究。
研究方向
非線性Schrödinger方程組
積分方程組
自由不連續問題
學術成果
在Pacific Journal of Mathematics、Disc. & Cont. Dynamics Sys.、Nonlinear Anal.等數學雜誌上發表SCI論文40餘篇。先後主持國家自然科學基金項目和省部級項目3項,指導研究生和本科生論文獲江蘇省優秀論文獎多項。
主持項目:
1.國家自然科學基金(11271166):幾個非線性 Schrodinger 方程組模型及相關問題研究。
2.江蘇省自然科學基金(BK2010172):多組份非線性Schrodinger方程組及其在Bose-Einstein 凝聚中的套用。
3.江蘇省高校自然科學基金 (07KJD110206):信息和材料科學中的自由不連續問題研究。
發表論文:
1.Lü, Yingshu; Lü, Zhongxue, Some properties of solutions to the weighted Hardy-Littlewood-Sobolev type integral system. Discrete Contin. Dyn. Syst.36 (2016), no. 7, 3791–3810. SCI
2.Chen, Wu; Lü, Zhongxue, Existence and nonexistence of positive solutions to an integral system involving Wolff potential. Commun. Pure Appl. Anal.15 (2016), no. 2, 385–398. SCI
3.Fang, Guo-bei; Lü, Zhong-xue, Existence and uniqueness of positive solutions to three coupled nonlinear Schrödinge requations. Acta Math. Appl. Sin. Engl.Ser.31(2015), no.4, 1021–1032. SCI
4.Yin, Hui; Lü, Zhongxue, Positive solutions to integral systems with weight and Bessel potentials. J. Math. Anal.Appl.418 (2014), no. 1, 264–282. SCI
5.Lü, Zhongxue; Liu, Zuhan; Qiu, Zhijing Necessary conditions and sufficient conditions for global existence for two-components nonlinear Schrödinger equations in the super critical case. J. Math. Anal.Appl.413 (2014), no.2, 752–762.SCI
6.Chen, Huan; Lü, Zhongxue, The properties of positive solutions to an integral system involving Wolff potential. Discrete Contin.Dyn. Syst.34 (2014), no.5, 1879–1904. SCI
7.Chen, Huan; Lü, Zhongxue, Positive solutions to involving Wolff potentials.Commun. Pure Appl. Anal.13 (2014), no.2, 773–788. SCI
8.Lü, Zhongxue; Liu, Zuhan, Note on the ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction. Bull. Korean Math. Soc.50(2013),no. 5, 1441 –1450. SCI
9.Lei, Yutian; Lü, Zhongxue, Axisymmetry oflocally bounded solutions to an Euler-Lagrange system of the weightedHardy-Littlewood-Sobolev inequality. Discrete Contin. Dyn. Syst.33 (2013), no.5, 1987–2005. SCI
10.Luo, Wei; Lü, Zhongxue; Liu, Zuhan, On the groundstate of spin-1 Bose-Einstein condensates with an external Ioffe-Pitchardmagnetic field. Bull. Aust. Math. Soc.86(2012), no. 3, 356–369. SCI
11.Lü, Zhong-Xue; Liu, Zuhan; Yao, Changcheng,L2-concentration of blow-up solutions for two-couplednonlinear Schrödinger equations with harmonic potential. Indian J. Pure Appl. Math.43 (2012),
no.1, 49–70. SCI
12.Zhang, Shan; Liu, Zuhan; Lü, Zhongxue, Local well-posedness for the nonlinear Schrödinger equation with harmonic potentialin Hs. Bull. Korean Math. Soc.48 (2011),no. 6, 1291–1302. SCI
13.Lü,Zhongxue; Liu, Zuhan, Sharp thresholds of Bose-Einstein condensates with anangular momentum rotational term. J. Appl. Math. Inform.29 (2011), no. 3-4, 901–908. SCI
14.Lü, Zhongxue; Liu, Zuhan, L2-concentrationof blow-up solutions for two-coupled nonlinear Schrödinger equations. J.Math. Anal. Appl.380 (2011), no. 2, 531–539. SCI
15.Lü Zhongxue; Gao Youcai;Wei Yuxiang, Note on the Carleman's inequality and Hardy'sinequality. Comput. Math. Appl.59 (2010), no. 1,94–97. SCI
16.Lü Zhongxue;Liu Zuhan, Sharp thresholds of two-components Bose-Einstein condensates. Comput.Math. Appl.58 (2009), no. 8,1608–1614. SCI
17.Lü, Zhong-Xue; Yang, Xiao-Ping,Existence of free discontinuity problems in SBD(Ω). Nonlinear Anal.71 (2009), no. 1-2, 332–340. SCI
18.Lü,Zhongxue, On sharp inequalities of Simpson type and Ostrowski type in twoindependent variables. Comput. Math. Appl.56 (2008), no. 8,2043–2047. SCI
19.Lü, Zhongxue; Yang,Xiaoping, A relaxation result of functionals in the space SBD(Ω). ActaMath. Sci. Ser. B Engl. Ed.28 (2008), no. 4, 770–778. SCI
20.Lü, Zhong-xue; Yang,Xiao-ping; Zheng, Min-ling, A lowersemicontinuity result for some integral functionals in the space SBD. ActaMath. Appl. Sin. Engl. Ser.24 (2008), no. 2, 297–304. SCI