(4) Your analytical solutions for the temperature profiles
(Fig.3 in your paper) are nearly identical to the approximations
I derive in my paper (Fig.2), for uniform as well as non-uniform
heating.
So, all the overlapping parts in your and my paper seems to
agree quite well, although my approach is based on some
approximations (such as neglecting the radiative loss during
the heating phase). On the other side, my approach is
complementary in the sense that it gives also an approximation
for the density profile n(s), as well as for the time evolution
of temperature T(s,t) and density n(s,t) during the heating
and cooling phase. So, both papers provide some analytical
tools in a complementary way, which might be useful for
quick forward-modeling of loops observed with Hinode and/or
STEREO.
Congrats, again, to your very useful analytical study.
Cheers,
Markus