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Xiangchan Zhu

  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. 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
  3. Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier--Stokes equations: existence and non-uniqueness
    2021/04/20 by Martina Hofmanová, Hofmanová, Martina, Rongchan Zhu +3 · 2 citations
    Mathematics · Economics, Econometrics and Finance · Engineering · #Navier-Stokes equation solutions #Stochastic processes and financial applications #Fluid Dynamics and Turbulent Flows
  4. Global existence and non-uniqueness for 3D Navier--Stokes equations with space-time white noise
    2021/12/28 by Martina Hofmanová, Rongchan Zhu, Hofmanová, Martina +3 · 2 citations
    Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #Navier-Stokes equation solutions #Probability (math.PR) #Stochastic processes and financial applications
  5. Non-unique ergodicity for deterministic and stochastic 3D Navier--Stokes and Euler equations
    2022/08/17 by Martina Hofmanová, Rongchan Zhu, Hofmanová, Martina +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
  6. 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
  7. Non-uniqueness in law of stochastic 3D Navier--Stokes equations
    2019/12/26 by Martina Hofmanová, Rongchan Zhu, Hofmanová, Martina +3 · 2 citations
    Economics, Econometrics and Finance · Engineering · Mathematics · #Stochastic processes and financial applications #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions
  8. 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
  9. Anomalous and total dissipation due to advection by solutions of randomly forced Navier-Stokes equations
    2023/05/14 by Martina Hofmanová, Hofmanová, Martina, Umberto Pappalettera +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)
  10. Non-uniqueness of Leray-Hopf solutions for stochastic forced Navier-Stokes equations
    2023/09/07 by Martina Hofmanová, Hofmanová, Martina, Rongchan Zhu +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
  11. Φ43 Theory from many-body quantum Gibbs states
    2025/02/07 by Phan Thành Nam, Rongchan Zhu, Nam, Phan Thành +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
  12. Sharp Non-uniqueness of Solutions to 2D Navier-Stokes Equations with Space-Time White Noise
    2023/04/13 by Huaxiang Lü, Xiangchan Zhu, Lü, Huaxiang +1 · 1 citation
    Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Probability (math.PR) #Stochastic processes and financial applications
  13. P(Φ)2 Theory from many-body quantum Gibbs states
    2026/07/25 by Phan Thành Nam, Zhilin Yang, Xiangchan Zhu
    #math-ph #math.AP #math.MP #math.PR