Recent Publications

1.     Z. Ding and G. Chen, Mathematical Analysis of the Effective Energy Potential of
the Helium Atom from Quantum Number D-Scaling, submitted.

2.     G. Chen, Z. Ding, A. Perronnet and Z. Zhang, Visualization and dimensional scaling
for some three-body problems in atomic and molecular quantum mechanics, submitted.

3.     G. Chen, Z. Ding, A. Perronnet, M. O. Scully, R. Xie and Z. Zhang, Some
fundamental mathematical properties in atomic and molecular quantum mechanics,
to appear in to “High dimensional PDEs in science and engineering”, edited by
A. Bandrauk, M. C. Delfour and C. Le Bris, Amer. Math. Soc., Providence, RI.

4.     G. Chen, Z. Ding, S. B. Hsu, M. Kim and J. Zhou, Mathematical Analysis of
the Bohr Atom Model, J. Math. Phys., 47, 022107 (2006), 23 pages.

5.     Z. Ding, G. Chen and S. Li, On positive solutions of the Elliptic sine-Gordon
equation, Comm. Pure Appl., 4(2005), pp. 283-294.

6.     G. Chen, Z. Ding, C. R. Hu, W. M. Ni and J. Zhou, A note on the elliptic sine-
Gordon equation, Contemporary Mathematics, 357(2004), pp. 49-67.

7.     Z. Ding, Traveling waves in a suspension bridge system, SIAM J. Math. Anal.,
35(2003), pp. 160-171.

8.     Z. Ding, Multiple periodic oscillations in a suspension bridge system, J. Math.
Anal. Appl., 269(2002), pp. 726-746.

9.     Z. Ding, Nonlinear periodic oscillations in a suspension bridge system under
periodic external aerodynamic forces, Nonlinear Analysis, 49(2002),
pp. 1079-1097.

10. Z. Ding,   On nonlinear oscillations in a suspension bridge system, Trans. Amer.
Math. Soc., 354(2002), pp. 265-274.  

 

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