This paper investigates the asymptotical stabilization of the time-invariant and the time-varying Port-Hamiltonian (PH) systems via a new kinetic energy-shaping (KES) method. Firstly, a desired kinetic energy function is designed for the non-trivial points. Secondly, applying the KES method to the Hamiltonian function with the desired kinetic energy function builds some matching equations. Thir...

We analyze the emergence of classical inflationary universes in a kinetic-dominated stage using suitable class solutions Wheeler-DeWitt equation with constant potential. These are eigenfunctions inflaton momentum operator that strongly peaked on exhibiting either or both period and an inflation period. Our analysis is based semiclassical WKB interpreted sense Borel (to perform correct connectio...

in the present study, advanced oxidation treatment, uv/ was applied to decolourisation of acid orange 8 (ao8). the uv radiation was carried out with a 15 w low-pressure mercury lamp. kinetic model for the decolourisation of the dye was developed based on experimental results and known chemical and photochemical reactions. the observed kinetic reaction constant was determined and correlated as a...

We consider several systems of nonlinear hyperbolic conservation laws describing the dynamics of nonlinear waves in presence of phase transition phenomena. These models admit undercompressive shock waves which are not uniquely determined by a standard entropy criterion but must be characterized by a kinetic relation. Building on earlier work by LeFloch and collaborators, we investigate the nume...