Titlebook: Stochastic Equations for Complex Systems; Theoretical and Comp Stefan Heinz,Hakima Bessaih Book 2015 Springer International Publishing Swit

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Recent Developments on the Micropolar and Magneto-Micropolar Fluid Systems: Deterministic and Stochtochastic perspectives. Under the deterministic setting, we review the global regularity result in two-dimensional space with zero angular viscosity and a regularity criterion in three-dimensional space that involves only two velocity vector field components. Under the stochastic setting, we review

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The Langevin Approach: A Simple Stochastic Method for Complex Phenomena,et of measurements. Our method is parameter free and it is based on the nonlinear Langevin equation. Moreover, it can be applied not only to processes in time, but also to processes in scale, given that the data available shows ergodicity. This chapter introduces the mathematical foundations of this

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Monte Carlo Simulations of Turbulent Non-premixed Combustion using a Velocity Conditioned Mixing Mooint velocity—scalar composition probability density function (PDF) level. The PDF evolution equation is solved using a stochastic Lagrangian Monte Carlo method. The PDF equation requires a so called micro-mixing model for closure and the performance of two micro-mixing models is investigated. The I

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Massively Parallel FDF Simulation of Turbulent Reacting Flows,sity function (FDF). Development of an efficient parallel implementation is particularly challenging due to the hybrid Eulerian/Lagrangian structure of typical FDF simulators. The performance of a novel parallel simulator is assessed at each of the major steps of its development. Subsequent efforts

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The Langevin Approach: A Simple Stochastic Method for Complex Phenomena,easured in laboratory, retrieving the corresponding energy cascade and comparing with the results from a computer fluid dynamics (CFD) simulation of that experiment. Finally, we describe extensions of the method for time series reconstruction and applications to other fields such as finance, medicine, geophysics and renewable energies.

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Fractional Brownian Motion and an Application to Fluids,d. This is an integrodifferential equation representing the dynamic of a vortex filament associated to an inviscid, incompressible, homogeneous fluid in .. We prove existence and uniqueness of solutions in a functional space of Sobolev type.

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