| 学术论文: 主要在流体动力学及其相关物理模型所描述的非线性偏微分方程的正则性,衰减性,稳定性,和动力学性态等方面开展研究工作,在国内外重要期刊上先后发表学术论文近20篇,其中13篇进入SCI,3篇进入EI. 1. B.-Q. Dong and Z. -M. Chen, A remark on regularity criterion for the dissipative quasigeostrophic equations, J. Math. Anal. Appl. 329(2007) 1212-1217. 2. B.-Q. Dong and Z. -M. Chen, On upper and lower bounds of higher order derivatives for solutions to the micropolar fluid flows in R^2, J.Math. Anal. Appl. 334 (2007) 1386-1399. 3. B.-Q. Dong, Time decay rates of the isotropic non-Newtonian flows in R^n, Acta Math. Appl. Sinica, English Series 23 (2007) 99-106. 4. J. Chen, B.-Q. Dong and Z.-M Chen, Pullback attractors of non-autonomous micropolar fluid flows, J. Math. Anal.Appl. 336 (2009) 1384-1394. 5. J. Chen, Z. M Chen and B.-Q. Dong, Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains, Nonlinearity 20 (2007) 1619-1635. 6. B.-Q. Dong and Z. -M. Chen, Asymptotic stability of critical and super critical dissipative quasi geostrophic equation, Nonlinearity 19 (2006) 2919-2928. 7. B.-Q. Dong and Z. -M. Chen, Time decay rates of non-Newtonian flows in R^n_+, J. Math. Anal. Appl. 324 (2006) 820-833. 8. B.-Q. Dong and Z. -M. Chen, Asymptotic stability of non-Newtonian flows with large perturbation, Appl. Math. Computation 173 (2006) 243-250. 9. B.-Q. Dong and Y. S. Li, Large time behavior of the modified Navier-Stokes equation, Acta Math. Scientia, Series A 26 (2006) 498-505. 10. B.-Q. Dong, A note on L^2 decay of Ladyzhenskaya model, J.Partial Differential Equations 19 (2006)... 学术论文: 主要在流体动力学及其相关物理模型所描述的非线性偏微分方程的正则性,衰减性,稳定性,和动力学性态等方面开展研究工作,在国内外重要期刊上先后发表学术论文近20篇,其中13篇进入SCI,3篇进入EI. 1. B.-Q. Dong and Z. -M. Chen, A remark on regularity criterion for the dissipative quasigeostrophic equations, J. Math. Anal. Appl. 329(2007) 1212-1217. 2. B.-Q. Dong and Z. -M. Chen, On upper and lower bounds of higher order derivatives for solutions to the micropolar fluid flows in R^2, J.Math. Anal. Appl. 334 (2007) 1386-1399. 3. B.-Q. Dong, Time decay rates of the isotropic non-Newtonian flows in R^n, Acta Math. Appl. Sinica, English Series 23 (2007) 99-106. 4. J. Chen, B.-Q. Dong and Z.-M Chen, Pullback attractors of non-autonomous micropolar fluid flows, J. Math. Anal.Appl. 336 (2009) 1384-1394. 5. J. Chen, Z. M Chen and B.-Q. Dong, Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains, Nonlinearity 20 (2007) 1619-1635. 6. B.-Q. Dong and Z. -M. Chen, Asymptotic stability of critical and super critical dissipative quasi geostrophic equation, Nonlinearity 19 (2006) 2919-2928. 7. B.-Q. Dong and Z. -M. Chen, Time decay rates of non-Newtonian flows in R^n_+, J. Math. Anal. Appl. 324 (2006) 820-833. 8. B.-Q. Dong and Z. -M. Chen, Asymptotic stability of non-Newtonian flows with large perturbation, Appl. Math. Computation 173 (2006) 243-250. 9. B.-Q. Dong and Y. S. Li, Large time behavior of the modified Navier-Stokes equation, Acta Math. Scientia, Series A 26 (2006) 498-505. 10. B.-Q. Dong, A note on L^2 decay of Ladyzhenskaya model, J.Partial Differential Equations 19 (2006) 304-318. 11. B.-Q. Dong and Z. -M. Chen, Global attractors of two dimensional micropolar fluid flows in some unbounded domains, Appl. Math. Computation 182 (2006) 610-620 12. B.-Q. Dong and Z. -M. Chen, Remarks on upper and lower bounds of solutions to the Navier Stokes equations in R^2, Appl. Math. Computation 182 (2006) 553-558. 13. J. Chen, Z. -M. Chen and B.-Q. Dong, Existence of H^2 -global attractors of two dimensional micropolar fluid flows, J. Math. Anal. Appl. 322 (2006) 512-522. 14. B.-Q. Dong, Decay of solutions to equations modeling incompressible bipolar non-Newtonian fluids, Electron. J.Differential Equations 125 (2005) 1-13. 15. B.-Q. Dong and Y. S. Li, Sharp rate of decay for solutions to non Newtonian fluids in R^2, Acta Math. Sinica 48 (2005) 1065-1070. 16. B.-Q. Dong and Y. S. Li, Large time behavior to the system of incompressible non-Newtonian fluids in R^2, J. Math. Anal. Appl. 298 (2004) 667-676. 17. B.-Q. Dong, Asymptotic behavior of the nonlinear parabolic equations, J. Partial Differential Equations 17 (2004) 255-263. 18. B.-Q. Dong and Z. -M. Chen, Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components, J. Math. Anal. Appl. in press. 19 B.-Q. Dong and Jiang Wei, On the decay of higher order derivatives of solutions to Ladyzhenskaya model for incompressible viscous flows, Science in China Series A: Mathematics, in press. 20 B.-Q. Dong, Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows, submitted. |