基本介紹
- 中文名：田如順
- 外文名：Tian, Rushun
- 畢業院校：美國猶他州立大學
- 代表作品：Bifurcations of elliptic systems with linear couplings
- 職稱：副教授
基本信息,教學活動,主要論著,科研項目,學術報告,
基本信息
職 稱： 副教授
學 位： 博士
畢業院校： 美國猶他州立大學
研究方向： 變分法
教學活動
2019.09-2020.01 高等數學A 本科生
2019.03-2019.06 常微分方程 本科生
2018.09-2019.01 高等數學3 本科生
2018.02-2018.06 高等數學2 本科生
2017.09-2018.01 高等數學1 本科生
2017.02-2017.07 常微分方程 本科生
2016.09-2017.01 高等數學3 本科生
2016.02-2016.07 高等數學2 本科生
2015.09-2016.01 高等數學1 本科生
主要論著
[15] Su, Jiabao; Tian, Rushun; Zhao, Leiga; Bifurcations of elliptic systems with linear couplings. Appl. Math. Lett. 100 (2020), 106042.
[14] Su, Jiabao; Tian, Rushun; Wang, Zhi-Qiang; Positive solutions of doubly coupled multicomponent nonlinear Schrodinger systems. Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 7, 2143–2161.
[13] Dai, Guowei; Tian, Rushun; Zhang, Zhitao; Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrodinger systems. Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 7, 1905–1927.
[12] Bartsch, Thomas; Tian, Rushun; Wang, Zhi-Qiang; Bifurcations for a coupled Schrodinger system with multiple components. Z. Angew. Math. Phys. 66 (2015), no. 5, 2109–2123.
[11] Tian, RuShun; Zhang, ZhiTao; Existence and bifurcation of solutions for a double coupled system of Schrodinger equations. Sci. China Math. 58 (2015), no. 8, 1607–1620.
[10] Tian, Rushun; Sun, Mingzheng; Zhao, Leiga; Applications of Morse theory to some nonlinear elliptic equations with resonance at zero. Nonlinear Anal. 113 (2015), 87–93.
[9] Nguyen, Nghiem V.; Tian, Rushun; Wang, Zhi-Qiang; Stability of traveling-wave solutions for a Schrodinger system with power-type nonlinearities. Electron. J. Differential Equations 2014, No. 217, 16 pp.
[8] Deconinck, Bernard; Sheils, Natalie E.; Nguyen, Nghiem V.; Tian, Rushun; On the spectral stability of solitary wave solutions of the vector nonlinear Schrodinger equation. J. Phys. A 46 (2013), no. 41, 415202, 21 pp.
[7] Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie; Global existence for a coupled system of Schrodinger equations with power-type nonlinearities. J. Math. Phys. 54 (2013), no. 1, 011503, 19 pp.
[6] Tian, Rushun; Wang, Zhi-Qiang; Bifurcation results of positive solutions for an indefinite nonlinear elliptic system II. Adv. Nonlinear Stud. 13 (2013), no. 1, 245–262.
[5] Tian, Rushun; Wang, Zhi-Qiang; Bifurcation results on positive solutions of an indefinite nonlinear elliptic system. Discrete Contin. Dyn. Syst. 33 (2013), no. 1, 335–344.
[4] Su, Jiabao; Tian, Rushun; Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on RN Proc. Amer. Math. Soc. 140 (2012), no. 3, 891–903.
[3] Li, Xiaoli; Su, Jiabao; Tian, Rushun; Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms. J. Math. Anal. Appl. 385 (2012), no. 1, 1–11.
[2] Tian, Rushun; Wang, Zhi-qiang; Multiple solitary wave solutions of nonlinear Schrodinger systems. Topol. Methods Nonlinear Anal. 37 (2011), no. 2, 203–223.
[1] Su, Jiabao, Tian Rushun; Weighted Sobolev embeddings and radial solutions of inhomogeneous quasilinear elliptic equations. Commun. Pure Appl. Anal. 9 (2010), no. 4, 885–904.
科研項目
2020.01 2022.12 Morse理論與橢圓型變分問題，參加 北京市教委重點項目
2018.01 2021.12 臨界點理論與變分問題（10771032），參加 國家自然科學基金--面上項目
2017.01 2019.12 幾類非線性橢圓型方程組的多解性問題研究（11601353，主持） 國家自然科學基金青年項目
2017.01 2018.12 幾類非線性方程組的多解問題研究（1174013，主持） 北京市自然科學基金青年項目
2014.06 2015.06 一類非線性薛丁格方程組駐波解的分歧現象研究（2014M550862, 主持） 中國博士後科學基金
學術報告
Normalized solutions for nonlinear Schrodinger systems
