The telegraph equation for cosmic-ray transport with weak adiabatic focusing

Cosmic Ray Transport with Magnetic Focusing and the “telegraph” Model

Cosmic rays (CR), constrained by scattering on magnetic irregularities, are believed to propagate diffusively. However, a well-known defect of diffusive approximation, whereby some of the particles propagate unrealistically fast, has directed interest toward an alternative CR transport model based on the “telegraph” equation. Though, its derivations often lack rigor and transparency leading to ...

The variational iteration method for solving Nagumo telegraph equation

Cosmic ray transport in the Galaxy

The problem of cosmic ray propagation is briefly discussed.

Active signal restoration for the telegraph equation

We compensate by a prefilter the distortion of an input signal along an electric line modeled by the telegraph equation. The prefilter is based on the so-called flatnessproperty of the telegraph equation. We derive the explicit equation of the filter and illustrate the relevance of our approach by a few simulations.

Time Delays in Cosmic Ray Propagation

Cosmic Rays (CR) travel at speeds essentially indistinguishable from the speed of light. However whilst travelling through magnetic fields, both regular and turbulent, they are delayed behind the light since they are usually charged particles and their paths are not linear. Those delays can be so long that they are an impediment to correctly identifying sources which may be variable in time. Fu...