17007
Michael Röckner, Bo Wu, Rongchan Zhu, Xiangchan Zhu PDF
Stochastic Heat Equations with Values in a Riemannian Manifold
Project:
B1, B2
Published: Rendiconti Lincei – Matematica e Applicazioni 29 (2018), 205–213
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Stochastic Heat Equations with Values in a Riemannian Manifold
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18002
Michael Röckner, Bo Wu, Rongchan Zhu, Xiangchan Zhu PDF
Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms
Project:
B1, B2
Published: SIAM Journal on Mathematical Analysis 52, no. 3 (2020), 2237–2274
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Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms
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18022
Michael Röckner, Rongchan Zhu, Xiangchan Zhu PDF
A remark on global solutions to random 3D vorticity equations for small initial data
Project:
B1, B2
Published: Discrete and Continuous Dynamical Systems Series B 24, no. 8 (2019), 4021–4030
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A remark on global solutions to random 3D vorticity equations for small initial data
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18036
Longjie Xie, Xicheng Zhang PDF
Ergodicity of stochastic differential equations with jumps and singular coefficients
Project:
B1, B2
Published: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 56 (2020), 175–229
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Ergodicity of stochastic differential equations with jumps and singular coefficients
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18044
Siyu Liang, Ping Zhang, Rongchan Zhu PDF
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity
Project:
B2
Published: Journal of Differential Equations 275 (2021), 473-508
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Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity
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18045
Ting Ma, Rongchan Zhu PDF
Wong-Zakai Approximation and Support Theorem for SPDEs with Locally Monotone Coefficients
Project:
B2
Published: Journal of Mathematical Analysis and Applications 469, no. 2 (2019), 623–660
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Wong-Zakai Approximation and Support Theorem for SPDEs with Locally Monotone Coefficients
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18048
Michael Röckner, Huanyu Yang, Rongchan Zhu PDF
Conservative stochastic 2-dimensional Cahn-Hilliard equation
Project:
B1, B2
Published: Ann. Appl. Probab. 31, no. 3 (2021), 1336–1375
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Conservative stochastic 2-dimensional Cahn-Hilliard equation
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18061
Jonas Lieber, Nadia Oudjane, Francesco Russo PDF
On the well-posedness of a class of McKean Feynman-Kac equations
Project:
B1, B2
Published: Markov Processes and Related Fields 25, no. 5 (2019), 821-862
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On the well-posedness of a class of McKean Feynman-Kac equations
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18071
Kai Du, Xicheng Zhang PDF
Optimal gradient estimates of heat kernels of stable-like operators
Project:
B1, B2
Published: Proceedings of American Mathematics Society 147 (2019), 3559–3565
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Optimal gradient estimates of heat kernels of stable-like operators
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18085
Xin Chen, Bo Wu, Rongchan Zhu, Xiangchan Zhu PDF
Stochastic heat equations for infinite strings with values in a manifold
Project:
B2
Published: Trans. Amer. Math. Soc. 374, no. 1 (2021), 407–452
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Stochastic heat equations for infinite strings with values in a manifold
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19083
Ting Ma, Rongchan Zhu PDF
Convergence rate for Galerkin approximation of the stochastic Allen-Cahn equations on 2D torus
Project:
B2
Published: Acta Mathematica Sinica, English Series (2020) Notes:
DOI: 10.1007/s10114-020-9367-4
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Convergence rate for Galerkin approximation of the stochastic Allen-Cahn equations on 2D torus
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19084
Wei Liu, Rongchan Zhu PDF
Well-posedness of Backward Stochastic Partial Differential Equations with Lyapunov Condition
Project:
B2
Published: Forum of Mathematics 32, no. 3 (2020), 723–738
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Well-posedness of Backward Stochastic Partial Differential Equations with Lyapunov Condition
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19086
Bingguang Chen, Xiangchan Zhu PDF
On the small time asymptotics of the dynamical $\Phi_1^4$ model
Project:
B2
Published: Acta Mathematica Sinica, English Series (2020) Notes:
DOI: 10.1007/s10114-020-9342-0
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On the small time asymptotics of the dynamical $\Phi_1^4$ model
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19111
L’ubomír Baňas, Huanyu Yang, Rongchan Zhu PDF
Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise
Project:
B2, B3
Published: Potential Analysis 59 (2023), 497–51
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Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise
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19112
Huanyu Yang, Rongchan Zhu PDF
Weak solutions to the sharp interface limit of stochastic Cahn-Hilliard equations
Project:
B2
X
Weak solutions to the sharp interface limit of stochastic Cahn-Hilliard equations
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20006
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu PDF
Non-uniqueness in law of stochastic 3D Navier-Stokes equations
Project:
B2, B7
To appear: J. Eur. Math. Soc. (JEMS) (2023)
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Non-uniqueness in law of stochastic 3D Navier-Stokes equations
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20059
Bingguang Chen, Xiangchan Zhu PDF
Large deviation principle for the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity
Project:
B2
X
Large deviation principle for the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity
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20104
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu PDF
On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations
Project:
B7, B2
Published: Communications on Pure and Applied Mathematics 75, no. 11 (2022), 2446–2510
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On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations
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20125
Xicheng Zhang, Rongchan Zhu, Xiangchan Zhu PDF
Singular HJB Equations with Applications to KPZ on the Real Line
Project:
B2, B1
Published: Probab. Theory Relat. Fields 183, no. 3–4 (2022), 789–869
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Singular HJB Equations with Applications to KPZ on the Real Line
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20126
Hao Shen, Scott Smith, Rongchan Zhu, Xiangchan Zhu PDF
Large $N$ Limit of the $O(N)$ Linear Sigma Model via Stochastic Quantization
Project:
B2
Published: Ann. Probab. 50, no. 1 (2022), 131–202
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Large $N$ Limit of the $O(N)$ Linear Sigma Model via Stochastic Quantization
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21036
Rongchan Zhu, Xiangchan Zhu, Martina Hofmanová PDF
Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier--Stokes equations: existence and non-uniqueness
Project:
B1, B2, B7
Published: Ann. Probab. 51 (2023), 524–579
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Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier--Stokes equations: existence and non-uniqueness
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