In this paper, we explain in simple PDE terms a famous result of Bramson about the logarithmic delay of the position of the solutions u(t, x) of Fisher-KPP reaction-diffusion equations in R, with respect to the position of the travelling front with minimal speed. Our proof is based on the comparison of u to the solutions of linearized equations with Dirichlet boundary conditions at the position...

We extend the projective covariant bookmaker’s bets model to the forecasting gamblers case. The probability of correctness of forecasts shifts probabilities of branching. The formula for the shift of probabilities leads to the velocity addition rule of the special theory of relativity. In the absence of information about bookmaker’s wagers the stochastic logarithmic rates completely determines ...

The early cytokines production in response to live logarithmic and stationary phase promastigotes of Leishmania major was examined on the peripheral blood cells of the healthy individuals. Whole blood cultures were stimulated by either logarithmic or stationary phase promastigotes. IFN- and IL-10 productions were assessed by specific sandwich ELISA. The results showed that the logarithmic prom...

the early cytokines production in response to live logarithmic and stationary phase promastigotes of leishmania major was examined on the peripheral blood cells of the healthy individuals. whole blood cultures were stimulated by either logarithmic or stationary phase promastigotes. ifn- and il-10 productions were assessed by specific sandwich elisa. the results showed that the logarithmic prom...

CFD simulations of near-ground gas dispersion depend significantly on the accuracy wind field. When simulating fields with conventional RANS turbulence models, velocity and profiles specified as inlet boundary conditions change rapidly in approach flow region. As a result, when hazardous materials are released, extent areas is calculated based an that differs from defined. To solve this problem...

It is well known that in a neutrally-stratified turbulent flow in a deep constantstress layer above a flat surface, the variation of the mean velocity with respect to the distance from the surface obeys the logarithmic law (the so-called “law-ofthe-wall”). More recently, the same logarithmic law has been found also in the presence of non flat surfaces. It governs the dynamics of the mean veloci...