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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
Authors:
Flandoli, Franco
;
Luo, Dejun
;
Ricci, Cristiano
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View/Download:29/0
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Submit date:2023/02/07
High dimensional Kolmogorov equation
Numerical solution
Iteration scheme
Gaussian process
GLOBAL WELL-POSEDNESS OF THE 3D NAVIER-STOKES EQUATIONS PERTURBED BY A DETERMINISTIC VECTOR FIELD
期刊论文
ANNALS OF APPLIED PROBABILITY, 2022, 卷号: 32, 期号: 4, 页码: 2568-2586
Authors:
Flandoli, Franco
;
Hofmanova, Martina
;
Luo, Dejun
;
Nilssen, Torstein
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View/Download:40/0
  |  
Submit date:2023/02/07
3D Navier-Stokes equations
vorticity form
well-posedness
regularization by noise
Wong-Zakai principle
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs
期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 28
Authors:
Flandoli, Franco
;
Luo, Dejun
;
Ricci, Cristiano
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View/Download:94/0
  |  
Submit date:2021/10/26
Girsanov transform
Kolmogorov equation
Iteration scheme
Series expansion
Well posedness
High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations
期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2021, 页码: 55
Authors:
Flandoli, Franco
;
Luo, Dejun
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View/Download:128/0
  |  
Submit date:2021/04/26
3D Navier–
Stokes equations
Well posedness
Regularization by noise
Transport noise
Vorticity blow-up control
Delayed blow-up by transport noise
期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 32
Authors:
Flandoli, Franco
;
Galeati, Lucio
;
Luo, Dejun
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View/Download:117/0
  |  
Submit date:2021/06/01
Dissipation enhancement
Fisher–
KPP equation
Keller–
Segel equation
Kuramoto–
Sivashinsky equation
scaling limit
transport noise
Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 2, 页码: 21
Authors:
Flandoli, Franco
;
Luo, Dejun
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View/Download:143/0
  |  
Submit date:2021/01/14
Point vortices
Navier-Stokes equations
Space-time white noise
Vorticity formulation
Weak convergence
A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 29
Authors:
Flandoli, Franco
;
Luo, Dejun
;
Ricci, Cristiano
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View/Download:147/0
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Submit date:2021/01/14
Kolmogorov equation
Numerical solution
Iteration schema
Gaussian process
Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations
期刊论文
JOURNAL OF EVOLUTION EQUATIONS, 2020, 页码: 34
Authors:
Flandoli, Franco
;
Galeati, Lucio
;
Luo, Dejun
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View/Download:137/0
  |  
Submit date:2020/09/23
2D Euler equations
Vorticity
Transport noise
Scaling limit
2D Navier-Stokes equations
Energy conditional measures and 2D turbulence
期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 卷号: 61, 期号: 1, 页码: 22
Authors:
Flandoli, Franco
;
Luo, Dejun
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View/Download:128/0
  |  
Submit date:2020/05/24
rho-White noise solution to 2D stochastic Euler equations
期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2019, 卷号: 175, 期号: 3-4, 页码: 783-832
Authors:
Flandoli, Franco
;
Luo, Dejun
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View/Download:127/0
  |  
Submit date:2020/05/24
White noise
2D Euler equations
Multiplicative noise
Fokker-Planck equation
Gradient estimates