2D Euler Equations with Stratonovich Transport Noise as a Large-Scale Stochastic Model Reduction
Franco Flandoli, Umberto Pappalettera
Abstract
Abstract The limit from an Euler-type system to the 2D Euler equations with Stratonovich transport noise is investigated. A weak convergence result for the vorticity field and a strong convergence result for the velocity field are proved. Our results aim to provide a stochastic reduction of fluid-dynamics models with three different time scales.
Topics & Concepts
Limit (mathematics)Convergence (economics)Euler equationsNoise (video)MathematicsReduction (mathematics)Stochastic differential equationEuler's formulaVorticityMathematical analysisEuler methodWeak convergenceApplied mathematicsNoise reductionField (mathematics)Backward Euler methodPhysicsStochastic processVector fieldStochastic modellingSemi-implicit Euler methodStatistical physicsEuler summationDimensional reductionStochastic partial differential equationRandom noiseRate of convergenceNavier-Stokes equation solutionsStochastic processes and financial applicationsFluid Dynamics and Turbulent Flows