0000000000885053
AUTHOR
Marino De Luca
On the wave interaction in a charged fluid with Hall and ion slip-currents
The evolution of non linear small perturbations in a charged fluid with generalized Ohm's law is considered, pointing out the possibility of effects due to interaction between different waves. Following the perturbative reductive methods, some phase functions for studying interaction are introduced. A suitable hypothesis on their evolution permits us to prove that the amplitudes of the first order perturbation obey Burgers-like equations, in which the dissipative terms are not influenced by the Hall effect.
Generalized Quasi-Variational Inequalities and Traffic Equilibrium Problem
The model that expresses the traffic equilibrium problem in terms of Quasi-Variational Inequalities is improved taking into account that: i) the cost function may be discontinuous; ii) the cost function may be considered as a multifunction. Existence theorems in such directions are given with examples and considerations, based on a direct computational method, that justify this approach.