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Zhu, Rongchan

  1. On ill- and well-posedness of dissipative martingale solutions to stochastic 3D Euler equations
    2020/09/21 by Martina Hofmanová, Hofmanová, Martina, Rongchan Zhu +3 · 4 citations
    Economics, Econometrics and Finance · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Probability (math.PR) #Stochastic processes and financial applications
  2. Langevin dynamics of lattice Yang-Mills-Higgs and applications
    2024/01/24 by Shen, Hao, Zhu, Rongchan, Zhu, Xiangchan · 6 citations
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  3. A new derivation of the finite N master loop equation for lattice Yang-Mills
    2022/02/02 by Shen, Hao, Smith, Scott A., Zhu, Rongchan · 4 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  4. Singular HJB equations with applications to KPZ on the real line
    2020/07/14 by Xicheng Zhang, Zhang, Xicheng, Rongchan Zhu +3 · 2 citations
    Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and financial applications
  5. Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier--Stokes equations: existence and non-uniqueness
    2021/04/20 by Martina Hofmanová, Rongchan Zhu, Hofmanová, Martina +3 · 2 citations
    Mathematics · Economics, Econometrics and Finance · Engineering · #Navier-Stokes equation solutions #Stochastic processes and financial applications #Fluid Dynamics and Turbulent Flows
  6. Global existence and non-uniqueness for 3D Navier--Stokes equations with space-time white noise
    2021/12/28 by Hofmanová, Martina, Zhu, Rongchan, Zhu, Xiangchan · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  7. Non-unique ergodicity for deterministic and stochastic 3D Navier--Stokes and Euler equations
    2022/08/17 by Martina Hofmanová, Hofmanová, Martina, Rongchan Zhu +3 · 2 citations
    Economics, Econometrics and Finance · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Probability (math.PR) #Stochastic processes and financial applications
  8. Singular kinetic equations and applications
    2021/08/11 by Zimo Hao, Hao, Zimo, Xicheng Zhang +5 · 2 citations
    Mathematics · Economics, Econometrics and Finance · #Gas Dynamics and Kinetic Theory #Stochastic processes and financial applications #Mathematical Biology Tumor Growth
  9. Determinstic and stochastic 2d Navier-Stokes equations with anisotropic viscosity
    2018/09/08 by Siyu Liang, Ping Zhang, Liang, Siyu +3 · 1 citation
    Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Probability (math.PR)
  10. Non-uniqueness in law of stochastic 3D Navier--Stokes equations
    2019/12/26 by Martina Hofmanová, Hofmanová, Martina, Rongchan Zhu +3 · 2 citations
    Economics, Econometrics and Finance · Engineering · Mathematics · #Stochastic processes and financial applications #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions
  11. Gaussian fluctuations for interacting particle systems with singular kernels
    2021/05/27 by Wang, Zhenfu, Zhao, Xianliang, Zhu, Rongchan · 1 citation
    #60 Probability theory and stochastic processes #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  12. Neural Operator with Regularity Structure for Modeling Dynamics Driven by SPDEs
    2022/04/13 by Peiyan Hu, Meng Qi, Hu, Peiyan +15 · 1 citation
    Computer Science · Environmental Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Hydrological Forecasting Using AI #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications
  13. Approximating three-dimensional Navier-Stokes equations driven by space-time white noise
    2014/09/17 by Rongchan Zhu, Zhu, Rongchan, Xiangchan Zhu +1 · 2 citations
    Economics, Econometrics and Finance · Mathematics · Engineering · #Stochastic processes and financial applications #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations
  14. Anomalous and total dissipation due to advection by solutions of randomly forced Navier-Stokes equations
    2023/05/14 by Martina Hofmanová, Umberto Pappalettera, Hofmanová, Martina +5 · 1 citation
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #Navier-Stokes equation solutions #Probability (math.PR)
  15. Non-uniqueness of Leray-Hopf solutions for stochastic forced Navier-Stokes equations
    2023/09/07 by Martina Hofmanová, Rongchan Zhu, Hofmanová, Martina +3 · 1 citation
    Economics, Econometrics and Finance · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Probability (math.PR) #Stochastic processes and financial applications
  16. Stationary solutions to stochastic 3D Euler equations in Hölder space
    2024/01/18 by Lü, Lin, Zhu, Rongchan · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  17. Global well-posedness for 2D generalized Parabolic Anderson Model via paracontrolled calculus
    2024/02/29 by Shen, Hao, Zhu, Rongchan, Zhu, Xiangchan · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  18. Φ43 Theory from many-body quantum Gibbs states
    2025/02/07 by Phan Thành Nam, Nam, Phan Thành, Rongchan Zhu +3 · 1 citation
    Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum many-body systems #Theoretical and Computational Physics
  19. A proof of Onsager's conjecture for the stochastic 3D Euler equations
    2025/05/11 by Huaxiang Lü, Lin Lü, Lü, Huaxiang +3 · 2 citations
    Mathematics · Economics, Econometrics and Finance · #Navier-Stokes equation solutions #Stochastic processes and financial applications #Nonlinear Partial Differential Equations
  20. Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum
    2024/12/19 by Shen, Hao, Smith, Scott A., Zhu, Rongchan · 2 citations
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)