D. Cao, Y. Su,D. Zhang,Construction of multi-bubble blow-up solutions to the
L2
-critical half-wave equation. J. Lond. Math. Soc. (2) 110 (2024), no. 3,Paper No. e12974, 59 pp.
Y. Li, P. Qu, Z. Zeng,D. Zhang,Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: beyond the Lions exponent.J. Math. Pures Appl. （9）190 (2024),Paper No. 103602, 64 pp.
V. Barbu, M. Röckner,D. Zhang,Recent progress on multi-bubble blow-ups and multi-solitons to (stochastic) focusing nonlinear Schrödinger equations. Vietnam J. Math. 52 (2024), no. 3,567–596.
Y. Li, Z. Zeng,D. Zhang, Sharp non-uniqueness of weak solutions to 3D magnetohydrodynamic equations: beyond the Lions exponent. J. Funct. Anal. 287 (2024), no 7, Paper No. 110528. 84 pp.
M. Röckner, Y. Su,D. Zhang, Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equation, Trans. Amer. Math. Soc. 377 (2024), no. 1, 517-588.
D. Zhang, Stochastic nonlinear Schrödinger equations in the defocusing mass and energy critical cases, Ann. Appl. Probab. 33, 5 (2023), 3652-3705.
M. Röckner, Y. Su,D. Zhang, Multi solitary waves to stochastic nonlinear Schrödinger equations, Probab. Theory Related Fields 186 (2023), 813-876.
D. Cao, Y. Su,D. Zhang, On uniqueness of multi-bubble blow-up solutions and multi-solitons to L2-critical nonlinear Schroedinger equations, Arch. Ration. Mech. Anal. 247 (2023), no. 1, Paper No. 4.
Y. Su,D. Zhang, Construction of minimal mass blow-up solutions to rough nonlinear Schroedinger equations. J. Funct. Anal. 284 (2023), no. 5, Paper No. 109796, 61 pp.
D. Zhang, Strichartz and local smoothing estimates for stochastic dispersive equations with linear multiplicative noise. SIAM J. Math. Anal. 54 (2022), no. 6, 5981--6017.
C. Fan, Y. Su,D. Zhang, A note on log-log blow up solutions for stochastic nonlinear Schroedinger equations. Stoch. Partial Differ. Equ. Anal. Comput. 10 (2022), no. 4, 1500--1514.
Y. Li, Z. Zeng,D. Zhang, Non-uniqueness of weak solutions to 3D magnetohydrodynamic equations. J. Math. Pures Appl. (9) 165 (2022), 232--285.
D. Zhang, Optimal bilinear control of stochastic nonlinear Schroedinger equations: mass-(sub)critical case. Probab. Theory Related Fields, 178 (2020), no. 1-2, 69-120.
V. Barbu, M. Roeckner,D. Zhang, Optimal control of nonlinear stochastic differential equations on Hilbert spaces. SIAM J. Control Optim. 58 (2020), no. 4, 2383-2410.
D. Zhang, Gaussian fluctuations and moderate deviations of eigenvalues in unitary invariant ensembles, J. Theoret. Probab. 32 (2019), no. 4, 1647-1687.
S. Herr, M. Roeckner,D. Zhang, Scattering for stohastic nonlinear Schroeidnger equations, arXiv: 1804.10429, Comm. Math. Phys. 368 (2019), no. 2, 843-884.
V. Barbu, M. Roeckner,D. Zhang, Optimal bilinear control of nonlinear stochastic Schroedinger equations driven by linear multiplicative noise, Ann. Probab. 46 (2018), no. 4, 1957-1999.
D. Zhang, Recent progress on stochastic nonlinear Schroedinger equations. Stochastic partial differential equations and related fields, 279-289, Springer Proc. Math. Stat., 229, Springer, Cham, 2018.
V. Barbu, M. Roeckner,D. Zhang, The stochastic nonlinear Schroedinger equations: no blow-up in the non-conservative case, J. Differential Equations 263 (2017), no. 11, 7919-7940.
D. Zhang, Tridiagonal Random Matrix: Gaussian fluctuations and deviations. J. Theoret. Probab. 30 (2017), no. 3, 1076-1103.
V. Barbu, M. Roeckner,D. Zhang, The stochastic logarithmic Schroedinger equation, J. Math. Pures Appl. (9) 107 (2017), no. 2, 123-149.
V. Barbu, M. Roeckner,D. Zhang, Stochastic nonlinear Schroedinger equations, Nonlinear Analysis, 136 (2016), 168-194.
D. Zhang, Gaussian fluctuations of eigenvalues in log-gas ensemble: bulk case I. Acta Math. Sin. (Engl. Ser.) 31 (2015), no.9, 1487-1500.
D. Han,D. Zhang, Limiting spectral distribution of random birth-death Q matrices (in Chinese). Sci. Sin. Math. 45 (2015), 539-558, doi: 10.1360/N012015-00065.
V. Barbu, M. Roeckner, D. Zhang, Stochastic nonlinear Schroedinger equations with linear multiplicative noise: the rescaling approach. J. Nonlinear Sci. 24 (2014), no.3, 383-409.
