The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off

Regularity theory for the spatially homogeneous Boltzmann equation with cut-off

We develop the regularity theory of the spatially homogeneous Boltzmann equation with cut-off and hard potentials (for instance, hard spheres), by (i) revisiting the Lp-theory to obtain constructive bounds, (ii) establishing propagation of smoothness and singularities, (iii) obtaining estimates about the decay of the singularities of the initial datum. Our proofs are based on a detailed study o...

Gevrey Class Smoothing Effect for the Prandtl Equation

Gelfand-shilov Smoothing Properties of the Radially Symmetric Spatially Homogeneous Boltzmann Equation without Angular Cutoff

We prove that the Cauchy problem associated to the radially symmetric spatially homogeneous non-cutoff Boltzmann equation with Maxwellian molecules enjoys the same Gelfand-Shilov regularizing effect as the Cauchy problem defined by the evolution equation associated to a fractional harmonic oscillator.

“the effect of risk aversion on the demand for life insurance: the case of iranian life insurance market”

abstract: about 60% of total premium of insurance industry is pertained?to life policies in the world; while the life insurance total premium in iran is less than 6% of total premium in insurance industry in 2008 (sigma, no 3/2009). among the reasons that discourage the life insurance industry is the problem of adverse selection. adverse selection theory describes a situation where the inf...

Investigating the Hydraulic Properties and Design Criteria for the River Subsurface Intake with a porous media without cut off

Surface and subsurface water collection in small seasonal rivers is very crucial, particularly in dry seasons. In this study a type of intake is introduced which acts as a river drainage network. An experimental model of the subsurface intake was constructed and the effective parameters such as upstream discharge, installation depth, and drain intervals were evaluated. The results showed that t...