6533b839fe1ef96bd12a6d16

RESEARCH PRODUCT

On the wave interaction in a charged fluid with Hall and ion slip-currents

Antonino ManninoMarino De Luca

subject

PhysicsNonlinear systemAmplitudeClassical mechanicsHall effectGeneral MathematicsNumerical analysisDissipative systemSlip (materials science)OhmIon

description

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.

https://doi.org/10.1007/bf02825038