(1) 主持国家自然科学基金（10301026）非线性发展方程的低正则适定性 （ 2003--2005）

(2) 主研国家杰出青年基金（10225102）非线性波动方程的整体解 （2002-2005）

(3) 主研国家自然科学基金（71003082/G0302）基于多方交易行为分析的供应链金融集成风险管理研究 (2011-2012）

(4) 主研国家自然科学基金（61203156）基于实际结构特征的耦合复杂系统网络上渗流理论及级联失效行为 (2013-2015）

(5 )主研国家自然科学基金 (11701477) 弹性动力学方程组解的性质研究 (2018-2020)

(6) 主研国家自然科学基金（）区域奇异摄动对无穷维随机动力系统动力学行为影响的研究(2019-2022)

主要论文目录

(1) Scattering for semilinear wave equations with small data in high space dimensions, J. Partial Differential Equations, 12 (1999), No: 1, 26—40

(2) A singular perturbation problem for semilinear wave equations with small parameter, Discrete Contin. Dynam. Systems, 5 (1999), No: 3, 473--488.

(3) On the diffusion phenomenon for quasilinear hyperbolic waves I, l Chinese Ann. Math. Ser. B, 21 (2000), No: 1, 63--70. (with A. J. Milani).

(4) On the diffusion phenomenon for quasilinear hyperbolic waves II, Bull. Sci. Math., 124 (2000), No: 5, 415--433. (with A. J. Milani).

(5) $L^1$ estimates for dissipative wave equations, Math. Methods in Appl. Sci., 24 (2001), No: 5, 319--338. (with A. J. Milani).

(6) Remarks on the lifespan for the solution to nonlinear wave equations in three space dimensions, Acta Mathematica Scientia, 23 (2003), No: 1, 16-22.(with F.~Liu).

(7) On the Cauchy problem for Klein-Gordon Schr\"odinger systems with rough data, Discrete and Continuous Dynamical Systems, Vol 12, No.2, 2005, 233-242.

(8) The self-similar solutions to some nonlinear integro-differential equation corresponding to fractional order time derivative, Acta Mathematica Sinica, English Serires, Published online: Sept, 5, 2005.(with C.~Miao).

(9) Global existence for semilinear wave equations in exterior domain, Acta Mathematica Scientia (in Chinese), 2007. (with H. Wu)

(10) Davey—Stewartson系统在低能量空间中的整体适定性，数学年刊，2009。(with N. Yang)

(11) Global well-posedness results for Davey-Stewartson systems below the nergy norm, Chinese Journal of Contemporary Mathematics, 2009. (with N. Yang)

(12) Expontential attractor and its fractal dimension for a second order lattice dynamical system, Journal of Mathematical Analysis and Applications, 2009.(with X. M. Fan)

(13) Existence and uniqueness for strong solutions of the generlaized MHD eqautions, Nonlinear Functional Analysis and Applications, Vol. 14, 3(2009), 439-452. (with X. K. Luo)

(14) Limiting profile of the blow-up solutions of the fourth-order nonlinear Schrodinger equation, Dyn. Partial Differ. Equ, 2010 (with Shihui Zhu, Jian Zhang)

(15) L pc-concentration of blow-up solutions for the biharmonic nonlinear Schr?dinger equation, Applicable Analysis, 2010 (with Shihui Zhu, Jian Zhang).

(16) Biharmonic nonlinear Schrodinger equation and the profile decomposition, Nonlinear Analysis, 2011. (with Shihui Zhu, Jian Zhang).

(17) Blow-up of the rough solution to the fourth-order nonlinear Schrodiner equation, Nonlinear Analysis, 2011. (with Shihui Zhu, Jian Zhang)

(18) PL^n∩PL^p 空间中MHD方程组强解的存在唯一性及衰减性质，数学学报， Vol. 54, 1(21011), 31-40. (with X. K. Luo)

(19) Global existence of solutions for damped wave equations with nonlinear memory，Applicable Analysis 92(2013) 1691-1703.

(20) Global Analysis for Rough Solutions to the Davey-Stewartson System，Abstract and Applied Analysis,2013.

(21) 一类弱耗散Camassa-Holm 方程Cauchy问题在Besov 空间解的局部适定性，数学年刊 34A(2013) 415-428.

(22)Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System，Journal of Applied Mathematics，Volume 2014, Article ID 613851, 12 pages. (with Feng. Zhang, Yonghong Wu).

(23) The Cauchy Problem for a Weakly Dissipative 2-Component Camassa-Holm System, Mathematical Problems in Engineering,Volume 2014 , Article ID 801941, 16 pages.(with Sen Ming, Yonghong Wu).

(24)Blow-up criteria for the inhomogeneous nonlinear Schr?dinger equation, Journal of Inequalities and Applications, 2014:55, 8 pages. (with Shihui Zhu).

(25)Asymptotic behaviors of solutions to the dissipative 2-component Degasperis-Procesi dissipative 2-component Degasperis-Procesi system,Boundary Value Problems,2014(with Sen Ming).

(26) 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(with Shihui Zhu).

(27) The modified Quantum Wigner system in weighted $L^2$-space, Bulletin of the Australian Mathematical Society 95(2017) 73-83 (with Bin Li).

(28) THE CAUCHY PROBLEM FOR THE LIQUID CRYSTALS SYSTEM IN THE CRITICAL BESOV SPACE WITH NEGATIVE INDEX, Czechoslovak Mathematical Journal 67(142)(2017),37-55,.2017 (with Sen Ming).

(29) Limiting Behavior of Rough Blow-up Solutions to the Davey-Stewartson System,Chinese Journal of Contemporary Mathematics,2017.(with Shihui Zhu).

(30) Global existence and blow-up for semilinear wave equations with variable coefficients, Chinese Ann. Math. Ser. B,2017.(with Lei Qian).

(31) The Wigner-Poisson-X_{\alpha} system in Wiener algebra, Computers and mathematics with Applcations 73(2017) 1987-1995, (with Bin Li).

(32) Regularity of random attractors for fractional stochastic reaction–diffusion equations on R^n, J. DifferentialEquations,2018, https://doi.org/10.1016/j.jde.2018.02.0110022-0396, (with AnhuiGu, DingshiLi, BixiangWang).

(33)  Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations，Nonlinear Analysis: Real World Applications, 62(2021),103360. （Sen Ming, HanYang, Xiongmei Fan, JiangyanYao）

(34)  Blow-up and lifespan estimates of solutions to the weakly coupled system of semilinear Moore–Gibson–Thompson equations, Math Meth Appl Sci. 2021;44:10972–10992. （Sen Ming, HanYang, Xiongmei Fan）

(35) Formation of singularity of solutions to the Cauchy problem for semilinear Moore-Gibson-Thompson equations, Communications on Pure and Applied Analysis 2022,21(5), 1773–1792. （Sen Ming, HanYang, Xiongmei Fan）

(36) Local and global existence in Lp for the inhomogeneous nonlinear Schrödinger equation, Math Meth Appl Sci. 2022;45:3497–3513. (Deng Wang, Han Yang)

(37) Global well-posedness for the fourth-order Hartree-type Schrodinger equation with Cauchy data in L p, Mathematical Control and Related Fields, 2024, 14(2), 533-550.  (jin Xie, Deng Wang, Han Yang)

(38) Lifespan estimates of solutions to the weakly coupled system of semilinear wave equations with space dependent dampings, COMMUN. MATH. SCI. 2024, 22(2), 375-393. （Sen Ming, HanYang, Xiongmei Fan）