The stars of the parent galaxies inject matter into extragalactic jets
in the form of stellar winds. From the present-day estimated mean mas
s-loss rate by stars in ellipticals, M = 10(-12) M. yr-1, we can infer
that the mass injected is high enough to slow the jets of weak FR-1 r
adio sources down to subrelativistic velocities, but not FR-II jets. T
his deceleration overcomes the apparent contradiction between the unif
ication scheme for FR-Is and BL Lacs and the low velocities of FR-I je
ts at kiloparsec scales. In this paper the interaction between a relat
ivistic e--e+ jet and stellar winds is considered, and the conditions
under which total mixing is achieved are found. A quasi-one-dimensiona
l approximation of the fluid model with a smoothly distributed source
of mass is used to study the dynamics of these mass-loaded jets in a g
alaxy with a King distribution of stars and a Hubble distribution of i
ntergalactic gas. The solutions found can qualitatively explain the be
haviour of the FR-1 jets near their 'gaps', but underestimate the obse
rved lengths of the gaps. It is proposed that the development of a tur
bulent boundary may be crucially important in the dynamics of the FR-I
jets.