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Mathematics > Analysis of PDEs

arXiv:2308.08130 (math)
[Submitted on 16 Aug 2023 ]

Title: Error estimates of a bi-fidelity method for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with random inputs

Title: 随机输入的多相Navier-Stokes-Vlasov-Fokker-Planck系统双精度方法的误差估计

Authors:Yiwen Lin, Shi Jin
Abstract: Uniform error estimates of a bi-fidelity method for a kinetic-fluid coupled model with random initial inputs in the fine particle regime are proved in this paper. Such a model is a system coupling the incompressible Navier-Stokes equations to the Vlasov-Fokker-Planck equations for a mixture of the flows with distinct particle sizes. The main analytic tool is the hypocoercivity analysis for the multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with uncertainties, considering solutions in a perturbative setting near the global equilibrium. This allows us to obtain the error estimates in both kinetic and hydrodynamic regimes.
Subjects: Analysis of PDEs (math.AP) ; Numerical Analysis (math.NA)
MSC classes: 35Q84, 65M70
Cite as: arXiv:2308.08130 [math.AP]
  (or arXiv:2308.08130v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2308.08130

Submission history

From: Yiwen Lin [view email]
[v1] Wed, 16 Aug 2023 03:43:22 UTC (24,122 KB)
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