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1 . H. Gao and J . E . M . Rivera, Global existence and decay for the semilinear
thermoelastic contact problem, J. Differential Equations , Vol 186(2002),
52--68.
2 . H. Gao and C. Bu, Dirichlet inhomogeneous boundary value problem for the n+1
complex Ginzburg-Landau equation, J. Differential Equations, 198 (2004),
176--195.
3 . C. Sun, H. Gao, J. Duan and B. Schmalfuss, Rare Events in the Boussinesq
System with Fluctuating Dynamical Boundary Conditions, J. Differential Equations
, 248 (2010), no. 6, 1269–1296.
4. F. Guo, H. Gao and Y. Liu, Existence of permanent and breaking waves for the
periodic Degasperis- Procesi equation with linear dispersion, Journal für reine
und angewandte Mathematik, Volume 2011, Issue 657, Pages 199–223.
5 . Y.Chen , H. Gao and B. Guo, Well posedness for stochastic Camassa-Holm
equation, J. Differential Equations , 253( 2012), 2353–2379.
6 . F. Guo , H. Gao and Y. Liu, On the wave-breaking phenomena for the
two-component Dullin- Gottwald-Holm system, J. Lond. Math. Soc. (2) , 86 (2012),
no. 3, 810–834.
7. H. Gao, F. Liang and B. Guo , Stochastic wave equations with nonlinear
damping and source terms, Infinite Dimensional Analysis, Quantum Probability and
Related Topics , 16 (2013), no. 2, 1350013, 29 pp.
8 . Y. Han , F. Guo and H. Gao, On solitary waves and wave-breaking phenomena
for a generalized two-component integrable Dullin-Gottwald-Holm system, J.
Nonlinear Sci. , 23 (2013), no. 4, 617–656.
9 . H. Gao, M. J. Garrido-Atienza and B. Schmalfuss, Random attractors for
stochastic evolution equations driven by fractional Brownian motion, SIAM J.
Math. Anal., 46 (2014), no. 4, 2281–2309.
10. J. Fan, H. Gao and B. Guo, Uniqueness of Weak Solutions to the 3D Ginzburg–
Landau Superconductivity Model , International Mathematics Research Notices ,
2015(2015), 1239-12.
11 . Y. Chen and H. Gao, The Cauchy problem for the Hartree equations under
random influences, J. Differential Equations , 259(2015), 5192-5219.
12. L. Fan, H. Gao and Y. Liu, On the rotation-two-component Camassa-Holm system
modelling the equatorial water waves, Advances in Mathematics, 291 (2016),
59–89.
13.Y. Chen and H. Gao, Well-posedness and Large Deviations of the Stochastic
Modified Camassa-Holm Equation , Potential Analysis ， 45 (2016), 331–354 .
14. L. Fan and H. Gao, Instability of equatorial edge waves in the background
flow , Proc eed ings of the AMS ， 145 (2017), 765–778.
15. Y. Chen and H. Gao, Well-posedness and large deviations for a class of SPDEs
with Levy noise, J. Differential Equations , 263(2017), 5216-5252.
16 .M. Chen, L. Fan, H. Gao ang Y. Liu, B reaking waves and solitary waves to
the Rotation-Two- Component Camassa-Holm System, S IAM Journal on Mathematical
Analysi s, 49(2017), 3573-3602.
17. Lin Lin and H. Gao, A Stochastic Generalized Ginzburg- Landau Equation
Driven by Jump Noise, J. Theoretical Probab. , 32(2019), 460–483.
18. G. Lv, H. Gao, J. Wei and J. Wu, BMO and Morrey-Campanato estimates for
stochastic convolutions and Schauder estimates for stochastic parabolic
equations, J. Differential Equations , 266(2019), 2666–2717.
19. H. Gao and H. Liu, Well-posedness and invariant measures for a class of
stochastic 3D Navier-Stokes equations with damping driven by jump noise, J.
Differential Equations , 267 (2019), 5938–5975.
20. J. Wei, J. Duan, H. Gao and G. Lv, Stochastic strong solution for stochastic
transport equations, Stochastics and Partial Differential Equations: Analysis
and Computations ， 9 (2021), no. 1, 105–141.
21. H. Gao, M. J. Garrido-Atienza, A. Gu, K. Lu and B. Schmalfuss, Rough path
theory to approximate random dynamical systems, SIAM J. Appl. Dynamical Sys., 20
(2021), 997–1021.
22. B. Wang and H. Gao, Exponential stability of solutions to stochastic
differential equations driven by G-Levy process, Appl. Math. Optim., 83 (2021),
1191–1218.
23. Y. Chen, J. Duan and H. Gao, Wave-breaking and moderate deviations of the
stochastic Camassa-Holm with pure jump noise, Physica D, 424 (2021), Paper No.
132944, 12 pp.
2 4. H. Gao and Y. Shi, Averaging principle for a stochastic coupled fast-slow
atmosphere-ocean model, J. Diff erential Equations , 298 (2021), 248–297.
25. L. Fan, H. Gao and H. Li, On the Geophysical Green-Naghdi system, J.
Nonlinear Sci. , 32(2022), no.2, Paper No. 21.
26. Q. Xiao and H. Gao, Stochastic attractor bifurcation of the one-dimensional
Swift-Hohenberg equation with multiplicative noise, J. Differential Equations ,
336 (2022), 565–588.
27. L. Fan, R. Liu and H. Gao, Hamiltonian model for coupled surface and
internal waves over currents and uneven bottom, Phys. D , 443(2023), Paper No.
133558, 18pp.
28. Q. Cao, H. Gao and B. Schmalfuss, Wong-Zakai type approximations of rough
random dynamical systems by smooth noise, J. Differential Equations , 358
(2023), 218–255.
29. Y. Chen, J. Duan and H. Gao, Well-posedness and wave-breaking for the
stochastic rotation-two-component Camassa–Holm system , Ann Appl Probab ,
34(2023), 2734-2785.
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