  Three results are presented: First, we solve the problem of persistence of
dissipation for reduction of kinetic models. Kinetic equations with
thermodynamic Lyapunov functions are studied. Uniqueness of the thermodynamic
projector is proven: There exists only one projector which transforms the
arbitrary vector field equipped with the given Lyapunov function into a vector
field with the same Lyapunov function for a given anzatz manifold which is not
tangent to the Lyapunov function levels. Moreover, from the requirement of
persistence of the {\it sign} of dissipation follows that the {\it value} of
dissipation (the entropy production) persists too. The explicit construction of
this {\it thermodynamic projector} is described. Second, we use this projector
for developing the short memory approximation and coarse-graining for general
nonlinear dynamic systems. We prove that in this approximation the entropy
production grows. ({\it The theorem about entropy overproduction.}) In example
we apply the thermodynamic projector to derivation the equations of reduced
kinetics for the Fokker-Planck equation. The new class of closures is
developed: The kinetic multipeak polyhedrons. Distributions of this type are
expected to appear in each kinetic model with multidimensional instability as
universally, as Gaussian distribution appears for stable systems. The number of
possible relatively stable states of nonequilibrium system grows as $2^m$, and
the number of macroscopic parameters is in order $mn$, where $n$ is the
dimension of configuration space, and $m$ is the number of independent unstable
directions in this space. The elaborated class of closures and equations
pretends to describe the effects of "molecular individualism". This is the
third result.
