We present a numerical study of the formation of standing shocks in th
e solar wind using a two-fluid time-dependent model in the presence of
Alfven waves. Included in this model is the adiabatic cooling and the
rmal conduction of both electrons and protons. In this study, standing
shocks develop in the flow when additional critical points form as a
result of either localized momentum addition or rapid expansion of the
flow tube below the existing sonic point. While the flow speed and de
nsity exhibit the same characteristics as found in earlier studies of
the formation of standing shocks, the inclusion of electron and proton
heat conduction produces different signatures in the electron and pro
ton temperature profiles across the shock layer. Owing to the strong h
eat conduction, the electron temperature is nearly continuous across t
he shock, but its gradient has a negative jump across it, thus produci
ng a net heat flux out of the shock layer. The proton temperature exhi
bits the same characteristics for shocks produced by momentum addition
but behaves differently when the shock is formed by the rapid diverge
nce of the flow tube. The adiabatic cooling in a rapidly diverging flo
w tube reduces the proton temperature so substantially that the proton
heat conduction becomes negligible in the vicinity of the shock. As a
result, protons experience a positive jump in temperature across the
shock. While Alfven waves do not affect the formation of standing shoc
ks, they contribute to the change of the momentum and energy balance a
cross them. We also find that for this solar wind model the inclusion
of thermal conduction and adiabatic cooling for the electrons and prot
ons increases significantly the range of parameters characterizing the
formation of standing shocks over those previously found for isotherm
al and polytropic models.