研究成果
主持的项目:
1.国家自然科学基金青年基金:几类随机浅水波方程(组)的研究(11401532), 2015.1.1-2017.12.31.
2.浙江省自然科学基金青年基金:随机浅水波方程(组)的适定性和大偏差原理(LQ14A010015),2014.1.1-2016.12.31.
参加的项目:
1.国家自然科学基金面上项目:趋化性反应扩散系统的动力学性质及其应用研究(11671359),2017.1.1-2019.12.31
2.(3/5)国家自然科学基金青年基金:非线性阻尼波方程及其耦合系统解的性态研究(11501511),2016.1.1-2018.12.31.
3.(2/3)浙江省自然科学基金青年基金:含时空阻尼的非线性波方程解的扩散现象研究(LQ15A010012),2015.1.1-2017.12.31.
4.国家自然科学基金面上项目:Levy过程驱动随机系统的稳定、控制及应用研究(61374080), 2014.1.1-2017.12.31.
5.国家自然科学基金面上项目:与海啸相关的几个浅水波方程(组)的研究(11271192), 2013.1.1-2016.12.31.
发表论文:
1.Y. Chen, H.J. Gao, Hua Luo, On the stochastic two-component b-family system,Stochastic Analysis and Applications, 34(2016) 1025-1044.
2. Y. Chen, H.J. Gao, L.L. Fan, Well the small ti-posedness andme large deviations of the stochastic integrable equation governing short-waves in a long-wave mode, Nonlinear Analysis: Real World Applications 29 (2016) 38-57.
3.Y. Chen, H.J. Gao,Well-posedness and large deviations of the stochastic modified Camassa-Holm equation, Potential Analysis 45(2016)331–354.
4. Y. Chen, H.J. Gao, The Cauchy problem for the Hartree equations under random influences, J. Differential Equations 259(2015), 5192-5219.
5. Y. Chen, H.J. Gao, Global existence for the stochastic Degasperis-Procesi equation, Discrete Contin. Dyn. Syst 35(2015), 5171-5184. (201511)
6. Y. Chen, H.J. Gao, C.F. Sun, The stochastic fractional power dissipative equations in any dimension and applications, J.Math. Anal.Appl. 425(2015) 1240-1256.
5. Y. Chen, H.J. Gao, Maria J. Garrido-Atienza, B. Schmalfuss, Pathwise solutions of SPDEs driven by Holder-continuous integrators with exponent large than 1/2 and random dynamical systems, Discrete Contin. Dyn. Syst 34(2014), no. 1, 79-98.
6. Y. Chen, L. Shi, Well-posedness for the stochastic higher order modified Camassa–Holm equation, Nonlinear Analysis 102 (2014) 242-250.
7. Y. Chen, H.J. Gao, Y. Liu, On the Cauchy problem for the two-component Dullin-Gottwald-Holm system, Discrete Contin. Dyn. Syst 33(2013), no. 8, 3407-3441.
8. Y. Chen, Random attractors of a stochastic damped forced Ostrovsky equation, J.Math. Anal.Appl. 404(2013) 283-299.
9. Y. Chen, H.J. Gao, B.L. Guo, Well-posedness for stochastic Camassa-Holm equation, J. Differential Equations 253(2012), no. 8, 2353–2379.
10. Y. Chen, H.J. Gao, Auxiliary equation method for solving nonlinear Wick-type partial differential equations, Commun Nonlinear Sci Numer Simulat 16 (2011) 2421-2437.
11. Y. Chen, H.J. Gao, B.L. Guo, Existence of global solutions to stochastic partial differential equations with random initial conditions, (Chinese) Chinese Ann. Math. Ser. A 32 (2011),no. 5, 545-564; translation in Chinese J. Contemp. Math.32 (2011), no. 4, 327-346.