We explain how the field of logarithmic-exponential series constructed in [DMM1] and [DMM2] embeds as an exponential field in any field of exponential-logarithmic series (constructed in [KK1], [K] and [KS]). On the other hand, we explain why no field of exponential-logarithmic series embeds in the field of logarithmic-exponential series. This clarifies why the two constructions are intrinsicall...

To isolate the multiscale dynamics of logarithmic layer wall-bounded turbulent flows, a novel numerical experiment is conducted in which mean tangential Reynolds stress eliminated except subregion corresponding to typical location channels. Various statistical comparisons against channel flow databases show that, despite some differences, this modified system reproduces kinematics and natural l...

Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.