The average density of super-Brownian motion

The average density of super-Brownian motion

On the average number of sharp crossings of certain Gaussian random polynomials

The effect of various conductivity and viscosity models considering Brownian motion on nanofluids mixed convection flow and heat transfer

 In this paper the effect of using various models for conductivity and viscosity considering Brownian motion of nanoparticles is investigated. This study is numerically conducted inside a cavity full of Water-Al2O3 nanofluid at the case of mixed convection heat transfer. The effect of some parameters such as the nanoparticle volume fraction, Rayleigh, Richardson and Reynolds numbers has been ex...

Hydrodynamic Limit Fluctuations of Super-brownian Motion with a Stable Catalyst

We consider the behaviour of a continuous super-Brownian motion catalysed by a random medium with infinite overall density under the hydrodynamic scaling of mass, time, and space. We show that, in supercritical dimensions, the scaled process converges to a macroscopic heat flow, and the appropriately rescaled random fluctuations around this macroscopic ∗Supported by the DFG, EPSRC grant EP/C500...

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion