学术论文

[1] Shihui Zhu,  Existence of Stable Standing Waves for the Fractional Schrodinger Equations with Combined Nonlinearities, Journal of Evolution Equations, 2016.8, accepted.

[2] Shihui Zhu,  On the Blow-up Solutions for the  Nonlinear Fractional Schrodinger Equation, Journal of Differential Equations, 261(2), (2016), 1506-1531.

[3] Shihui Zhu, On the Davey-Stewartson System with Competing Nonlinearities, Journal of Mathematical Physics, 57,  (2016), 031501.

[4] Shihui Zhu, Existence and Uniqueness of Global Weak solutions of the Camassa-Holm Equation with a Forcing, Discrete and Continuous Dynamical Systems-Series A, 36(9), (2016), 5201-5221.

[5] Jian Zhang, Shihui Zhu, Stability of standing waves for the nonlinear fractional Schr\"{o}dinger equation, Journal of Dynamics and Differential Equations, accepted,DOI 10.1007/s10884-015-9477-3.

[6] Shihui Zhu, Blow-up Dynamics of L2 Solutions for the Davey–Stewartson System, Acta Mathematica Sinica, English Series, 31(3), (2015), 411–429.

[7] Shihui Zhu, Sharp energy criteria of blow-up for the energy-critical Klein-Gordon equation, Journal of Inequalities and Applications, 383, (2015), 1-9.

[8] Shihui Zhu, Han Yang and Jian Zhang, Blow-up rate, mass concentration and asymptotic profile of blow-up solutions for the nonlinear inhomogeneous Schrodinger equation, Applied Mathematics and Computation, 242, (2014), 889-897.  

[9] Shihui Zhu, Blow-up solutions for the inhomogeneous Schrodinger equation with L2 supercritical nonlinearity, Journal of Mathematical Analysis and Applications, 409(2), (2014), 760-776.

[10] Shihui Zhu, Jian Zhang,  Limiting behavior of blow-up solutions of the NLSE with a Stark potential, Acta Mathematica Scientia, 32B(3), (2012), 1181-1192.

[11] Jian Zhang, Shihui  Zhu, Blow-up profile to solutions of NLS with oscillating nonlinearities, Nonlinear Differ. Equ. Appl., 19(2), (2012), 219-234.

[12] Jian Zhang, Shihui Zhu,Sharp blow-up criteria for the Davey-Stewartson system inR3, Dynamics of Partial Differential Equations, 8(3), (2011), 239-260.

[13] Shihui, Zhu, Jian Zhang, Han Yang, Biharmonic nonlinear Schrodinger equation and the profile decomposition, Nonlinear Analysis, 74(17), (2011), 6244-6255.

[14] Shihui, Zhu, Jian, Zhang, On the concentration properties for the nonlinear Schrodinger equation with a Stark potential,  Acta Mathematica Scientia, 31B(5), (2011), 1923-1938.

[15] Shihui Zhu, Han Yang, Jian Zhang, Blow-up of rough solutions to the fourth-order nonlinear Schrodinger equation, Nonlinear Analysis, 74(17), (2011), 6186-6201.

[16] Shihui  Zhu, Jian Zhang, Han Yang, Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrodinger equation, Dynamics of Partial Differential Equations,  7(2), (2010), 187-205.

[17] Shihui  Zhu, Jian Zhang, Han Yang, Lpc-concentration of blow-up solutions for the biharmonic nonlinear Schrodinger equation, Applicable Analysis, 89(12), (2010), 1827-1835.

[18] Shihui Zhu, Jian Zhang, Profiles of  blow-up solutions for the Gross-Pitaevskii equation, Acta Mathematica Applicatae Sinica (English Series), 26(4), (2010), 597-606.

[19] Shihui Zhu, Xiaoguang Li, Sharp upper and lower bounds on the blow-up rate for nonlinear Schrodinger equation with potential, Applied Mathematics and Computation, 190(2), (2007), 1267-1272.

   [20] 朱世辉, 张健, 李晓光, Gross-Pitaevskii方程爆破解的极限图景, 中国科学 A: 数学, 38(9), (2008), 1008-1020. (English Version: Shihui Zhu, Jian Zhang  and Xiaoguang Li , Limiting profile of blow-up solutions for the Gross-Pitaevskii equation, Science in China Series A: Mathematics, 52(5), (2009), 1017-1030.)



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