Some Aspects of Extended Kinetic Equation

Some Aspects of Extended Kinetic Equation

Motivated by the pathway model of Mathai introduced in 2005 [Linear Algebra and Its Applications, 396, 317–328] we extend the standard kinetic equations. Connection of the extended kinetic equation with fractional calculus operator is established. The solution of the general form of the fractional kinetic equation is obtained through Laplace transform. The results for the standard kinetic equat...

On a Diiusion-kinetic Equation Arising in Extended Kinetic Theory

This paper is devoted to the study of solvability of an evolution equation obtained as a hydrodynamic limit of a linear Boltzmann equation with inelastic scattering term. An interesting feature of this equation is that it combines the diiusion operator and a singular operator of a kinetic type. The study is carried out in the L 1 space which is natural from physical point of view and allows to ...

Some Aspects of Extended General Variational Inequalities

and Applied Analysis 3 For given nonlinear operators T, g, h, we consider the problem of finding u ∈ H : h u ∈ K such that 〈 Tu, g v − h u 〉 ≥ 0, ∀v ∈ H : g v ∈ K, 2.1 which is called the extended general variational inequality. Noor 13–16 has shown that the minimum of a class of differentiable nonconvex functions on hg-convex set K in H can be characterized by extended general variational ineq...

Some Aspects of Geometric Tolerancing (extended Abstract)

On some properties of the Landau kinetic equation

We discuss some general properties of the Landau kinetic equation. In particular, the difference between the ”true” Landau equation, which formally follows from classical mechanics, and the ”generalized” Landau equation, which is just an interesting mathematical object, is stressed. We show how to approximate solutions to the Landau equation by the Wild sums. It is the so-called quasi-Maxwellia...