Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise. Zbl 1329.60220
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2014
|
Three-dimensional Navier-Stokes equations driven by space-time white noise. Zbl 1336.60127
Zhu, Rongchan; Zhu, Xiangchan |
|
2015
|
Lattice approximation to the dynamical \(\Phi_{3}^{4}\) model. Zbl 1393.82014
Zhu, Rongchan; Zhu, Xiangchan |
|
2018
|
Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications. Zbl 1405.60096
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2017
|
Sub and supercritical stochastic quasi-geostrophic equation. Zbl 1322.60121
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2015
|
On ill- and well-posedness of dissipative martingale solutions to stochastic 3D Euler equations. Zbl 1509.60120
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2022
|
Ergodicity for the stochastic quantization problems on the 2D-torus. Zbl 1376.81045
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2017
|
The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple. Zbl 1267.60074
Röckner, Michael; Zhu, Rong-Chan; Zhu, Xiang-Chan |
|
2012
|
Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness. Zbl 1514.35317
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2023
|
Wong-Zakai approximation and support theorem for SPDEs with locally monotone coefficients. Zbl 1516.35578
Ma, Ting; Zhu, Rongchan |
|
2019
|
Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise. Zbl 1514.35316
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2023
|
Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions. Zbl 1322.60122
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2015
|
Random attractor associated with the quasi-geostrophic equation. Zbl 1368.60069
Zhu, RongChan; Zhu, XiangChan |
|
2017
|
Stochastic heat equations with values in a manifold via Dirichlet forms. Zbl 1445.60048
Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan |
|
2020
|
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity. Zbl 1455.35174
Liang, Siyu; Zhang, Ping; Zhu, Rongchan |
|
2021
|
Dirichlet form associated with the \(\Phi_3^4\) model. Zbl 1415.60082
Zhu, Rongchan; Zhuï, Xiangchan |
|
2018
|
Study of anomalous wave propagation and reflection in semi-infinite elastic metamaterials. Zbl 1454.74069
Zhu, R.; Liu, X. N.; Huang, G. L. |
|
2015
|
Approximating 3D Navier-Stokes equations driven by space-time white noise. Zbl 1386.60230
Zhu, Rongchan; Zhu, Xiangchan |
|
2017
|
Nonuniqueness in law of stochastic 3D Navier-Stokes equations. Zbl 1534.35294
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2024
|
BV functions in a Gelfand triple for differentiable measure and its applications. Zbl 1348.60079
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2015
|
Large \(N\) limit of the \(O(N)\) linear sigma model via stochastic quantization. Zbl 1490.60192
Shen, Hao; Smith, Scott A.; Zhu, Rongchan; Zhu, Xiangchan |
|
2022
|
Stochastic heat equations for infinite strings with values in a manifold. Zbl 1475.37088
Chen, Xin; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan |
|
2021
|
On notions of harmonicity for non-symmetric Dirichlet form. Zbl 1195.31008
Ma, ZhiMing; Zhu, RongChan; Zhu, XiangChan |
|
2010
|
A stochastic analysis approach to lattice Yang-Mills at strong coupling. Zbl 1522.81127
Shen, Hao; Zhu, Rongchan; Zhu, Xiangchan |
|
2023
|
Conservative stochastic two-dimensional Cahn-Hilliard equation. Zbl 1476.60104
Röckner, Michael; Yang, Huanyu; Zhu, Rongchan |
|
2021
|
Stochastic quasi-geostrophic equation. Zbl 1248.60074
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2012
|
Singular HJB equations with applications to KPZ on the real line. Zbl 1500.60039
Zhang, Xicheng; Zhu, Rongchan; Zhu, Xiangchan |
|
2022
|
Piecewise linear approximation for the dynamical \(\Phi_3^4\) model. Zbl 1431.60127
Zhu, Rongchan; Zhu, Xiangchan |
|
2020
|
Stochastic mSQG equations with multiplicative transport noises: white noise solutions and scaling limit. Zbl 1468.60081
Luo, Dejun; Zhu, Rongchan |
|
2021
|
A note on stochastic semilinear equations and their associated Fokker-Planck equations. Zbl 1308.60079
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2014
|
Large \(N\) limit of the \(O(N)\) linear sigma model in 3D. Zbl 1502.60105
Shen, Hao; Zhu, Rongchan; Zhu, Xiangchan |
|
2022
|
A remark on global solutions to random 3D vorticity equations for small initial data. Zbl 1420.60087
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2019
|
BSDE and generalized Dirichlet forms: the infinite dimensional case. Zbl 1305.31007
Zhu, Rong-Chan |
|
2015
|
Well-posedness of backward stochastic partial differential equations with Lyapunov condition. Zbl 1437.35711
Liu, Wei; Zhu, Rongchan |
|
2020
|
Remark on the lifespan of solutions to 3-D anisotropic Navier-Stokes equations. Zbl 1463.35404
Liang, Siyu; Zhang, Ping; Zhu, Rongchan |
|
2020
|
Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise. Zbl 1521.35214
Baňas, Ľubomír; Yang, Huanyu; Zhu, Rongchan |
|
2023
|
Convergence rate for Galerkin approximation of the stochastic Allen-Cahn equations on 2D torus. Zbl 1462.60089
Ma, Ting; Zhu, Rong Chan |
|
2021
|
A class of supercritical/critical singular stochastic PDEs: existence, non-uniqueness, non-Gaussianity, non-unique ergodicity. Zbl 1516.35418
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2023
|
Stochastic heat equations with values in a Riemannian manifold. Zbl 1391.60160
Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan |
|
2018
|
Gaussian fluctuations for interacting particle systems with singular kernels. Zbl 1524.60271
Wang, Zhenfu; Zhao, Xianliang; Zhu, Rongchan |
|
2023
|
A new derivation of the finite \(N\) master loop equation for lattice Yang-Mills. Zbl 1535.60107
Shen, Hao; Smith, Scott A.; Zhu, Rongchan |
|
2024
|
Martingale solutions for stochastic active scalar equations perturbed by non-trace class noise. Zbl 1291.60136
Zhu, Rongchan; Zhu, Xiangchan |
|
2014
|
Nonuniqueness in law of stochastic 3D Navier-Stokes equations. Zbl 1534.35294
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2024
|
A new derivation of the finite \(N\) master loop equation for lattice Yang-Mills. Zbl 1535.60107
Shen, Hao; Smith, Scott A.; Zhu, Rongchan |
|
2024
|
Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness. Zbl 1514.35317
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2023
|
Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise. Zbl 1514.35316
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2023
|
A stochastic analysis approach to lattice Yang-Mills at strong coupling. Zbl 1522.81127
Shen, Hao; Zhu, Rongchan; Zhu, Xiangchan |
|
2023
|
Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise. Zbl 1521.35214
Baňas, Ľubomír; Yang, Huanyu; Zhu, Rongchan |
|
2023
|
A class of supercritical/critical singular stochastic PDEs: existence, non-uniqueness, non-Gaussianity, non-unique ergodicity. Zbl 1516.35418
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2023
|
Gaussian fluctuations for interacting particle systems with singular kernels. Zbl 1524.60271
Wang, Zhenfu; Zhao, Xianliang; Zhu, Rongchan |
|
2023
|
On ill- and well-posedness of dissipative martingale solutions to stochastic 3D Euler equations. Zbl 1509.60120
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan |
|
2022
|
Large \(N\) limit of the \(O(N)\) linear sigma model via stochastic quantization. Zbl 1490.60192
Shen, Hao; Smith, Scott A.; Zhu, Rongchan; Zhu, Xiangchan |
|
2022
|
Singular HJB equations with applications to KPZ on the real line. Zbl 1500.60039
Zhang, Xicheng; Zhu, Rongchan; Zhu, Xiangchan |
|
2022
|
Large \(N\) limit of the \(O(N)\) linear sigma model in 3D. Zbl 1502.60105
Shen, Hao; Zhu, Rongchan; Zhu, Xiangchan |
|
2022
|
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity. Zbl 1455.35174
Liang, Siyu; Zhang, Ping; Zhu, Rongchan |
|
2021
|
Stochastic heat equations for infinite strings with values in a manifold. Zbl 1475.37088
Chen, Xin; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan |
|
2021
|
Conservative stochastic two-dimensional Cahn-Hilliard equation. Zbl 1476.60104
Röckner, Michael; Yang, Huanyu; Zhu, Rongchan |
|
2021
|
Stochastic mSQG equations with multiplicative transport noises: white noise solutions and scaling limit. Zbl 1468.60081
Luo, Dejun; Zhu, Rongchan |
|
2021
|
Convergence rate for Galerkin approximation of the stochastic Allen-Cahn equations on 2D torus. Zbl 1462.60089
Ma, Ting; Zhu, Rong Chan |
|
2021
|
Stochastic heat equations with values in a manifold via Dirichlet forms. Zbl 1445.60048
Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan |
|
2020
|
Piecewise linear approximation for the dynamical \(\Phi_3^4\) model. Zbl 1431.60127
Zhu, Rongchan; Zhu, Xiangchan |
|
2020
|
Well-posedness of backward stochastic partial differential equations with Lyapunov condition. Zbl 1437.35711
Liu, Wei; Zhu, Rongchan |
|
2020
|
Remark on the lifespan of solutions to 3-D anisotropic Navier-Stokes equations. Zbl 1463.35404
Liang, Siyu; Zhang, Ping; Zhu, Rongchan |
|
2020
|
Wong-Zakai approximation and support theorem for SPDEs with locally monotone coefficients. Zbl 1516.35578
Ma, Ting; Zhu, Rongchan |
|
2019
|
A remark on global solutions to random 3D vorticity equations for small initial data. Zbl 1420.60087
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2019
|
Lattice approximation to the dynamical \(\Phi_{3}^{4}\) model. Zbl 1393.82014
Zhu, Rongchan; Zhu, Xiangchan |
|
2018
|
Dirichlet form associated with the \(\Phi_3^4\) model. Zbl 1415.60082
Zhu, Rongchan; Zhuï, Xiangchan |
|
2018
|
Stochastic heat equations with values in a Riemannian manifold. Zbl 1391.60160
Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan |
|
2018
|
Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications. Zbl 1405.60096
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2017
|
Ergodicity for the stochastic quantization problems on the 2D-torus. Zbl 1376.81045
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2017
|
Random attractor associated with the quasi-geostrophic equation. Zbl 1368.60069
Zhu, RongChan; Zhu, XiangChan |
|
2017
|
Approximating 3D Navier-Stokes equations driven by space-time white noise. Zbl 1386.60230
Zhu, Rongchan; Zhu, Xiangchan |
|
2017
|
Three-dimensional Navier-Stokes equations driven by space-time white noise. Zbl 1336.60127
Zhu, Rongchan; Zhu, Xiangchan |
|
2015
|
Sub and supercritical stochastic quasi-geostrophic equation. Zbl 1322.60121
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2015
|
Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions. Zbl 1322.60122
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2015
|
Study of anomalous wave propagation and reflection in semi-infinite elastic metamaterials. Zbl 1454.74069
Zhu, R.; Liu, X. N.; Huang, G. L. |
|
2015
|
BV functions in a Gelfand triple for differentiable measure and its applications. Zbl 1348.60079
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2015
|
BSDE and generalized Dirichlet forms: the infinite dimensional case. Zbl 1305.31007
Zhu, Rong-Chan |
|
2015
|
Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise. Zbl 1329.60220
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2014
|
A note on stochastic semilinear equations and their associated Fokker-Planck equations. Zbl 1308.60079
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2014
|
Martingale solutions for stochastic active scalar equations perturbed by non-trace class noise. Zbl 1291.60136
Zhu, Rongchan; Zhu, Xiangchan |
|
2014
|
The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple. Zbl 1267.60074
Röckner, Michael; Zhu, Rong-Chan; Zhu, Xiang-Chan |
|
2012
|
Stochastic quasi-geostrophic equation. Zbl 1248.60074
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan |
|
2012
|
On notions of harmonicity for non-symmetric Dirichlet form. Zbl 1195.31008
Ma, ZhiMing; Zhu, RongChan; Zhu, XiangChan |
|
2010
|