Stochastic Partial Differential Equations: An Introduction W Liu, M Röckner Springer, 2015 | 586 | 2015 |
SPDE in Hilbert space with locally monotone coefficients W Liu, M Röckner Journal of Functional Analysis 259 (11), 2902-2922, 2010 | 198 | 2010 |
Random attractors for a class of stochastic partial differential equations driven by general additive noise B Gess, W Liu, M Röckner Journal of Differential Equations 251 (4-5), 1225-1253, 2011 | 148 | 2011 |
Large deviations for stochastic evolution equations with small multiplicative noise W Liu Applied Mathematics and Optimization 61 (1), 27, 2010 | 133 | 2010 |
Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise Z Brzeźniak, W Liu, J Zhu Nonlinear Analysis: Real World Applications 17, 283-310, 2014 | 127 | 2014 |
Local and global well-posedness of SPDE with generalized coercivity conditions W Liu, M Röckner Journal of differential equations 254 (2), 725-755, 2013 | 103 | 2013 |
High order conservative Lagrangian schemes with Lax–Wendroff type time discretization for the compressible Euler equations W Liu, J Cheng, CW Shu Journal of Computational Physics 228 (23), 8872-8891, 2009 | 93 | 2009 |
Harnack inequality and applications for stochastic evolution equations with monotone drifts W Liu Journal of Evolution Equations 9 (4), 747, 2009 | 84 | 2009 |
Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients W Liu, M Röckner, X Sun, Y Xie Journal of Differential Equations 268 (6), 2910-2948, 2020 | 83 | 2020 |
Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems A Guillin, W Liu, L Wu, C Zhang The Annals of Applied Probability 32 (3), 1590-1614, 2022 | 63 | 2022 |
Harnack inequality and strong Feller property for stochastic fast-diffusion equations W Liu, FY Wang Journal of mathematical analysis and applications 342 (1), 651-662, 2008 | 62 | 2008 |
Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives W Liu, M Röckner, JL da Silva arXiv preprint arXiv:1708.05649, 2017 | 61 | 2017 |
Well-posedness of stochastic partial differential equations with Lyapunov condition W Liu Journal of Differential Equations 255 (3), 572-592, 2013 | 57 | 2013 |
Random attractors for locally monotone stochastic partial differential equations B Gess, W Liu, A Schenke Journal of Differential Equations 269 (4), 3414-3455, 2020 | 49 | 2020 |
Large and moderate deviation principles for McKean-Vlasov SDEs with jumps W Liu, Y Song, J Zhai, T Zhang Potential Analysis 59 (3), 1141-1190, 2023 | 45 | 2023 |
Existence and uniqueness of solutions to nonlinear evolution equations with locally monotone operators W Liu Nonlinear Analysis: Theory, Methods & Applications 74 (18), 7543-7561, 2011 | 42 | 2011 |
Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs W Hong, S Li, W Liu Journal of Differential Equations 316, 94-135, 2022 | 40 | 2022 |
Long-time behaviors of mean-field interacting particle systems related to McKean–Vlasov equations W Liu, L Wu, C Zhang Communications in Mathematical Physics 387 (1), 179-214, 2021 | 39 | 2021 |
Maximal inequalities and exponential estimates for stochastic convolutions driven by Lévy-type processes in Banach spaces with application to stochastic quasi-geostrophic equations J Zhu, Z Brzeźniak, W Liu SIAM Journal on Mathematical Analysis 51 (3), 2121-2167, 2019 | 37 | 2019 |
Large deviation principles for the stochastic quasi-geostrophic equations W Liu, M Röckner, XC Zhu Stochastic Processes and their Applications 123 (8), 3299-3327, 2013 | 36 | 2013 |