Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mild assumptions for the derivation of Einstein's effective viscosity
  formula   We provide a rigorous derivation of Einstein's formula for the effective
viscosity of dilute suspensions of $n$ rigid balls, $n \gg 1$, set in a volume
of size $1$. So far, most justifications were carried under a strong assumption
on the minimal distance between the balls: $d_{min} \ge c n^{-\frac{1}{3}}$, $c
> 0$. We relax this assumption into a set of two much weaker conditions: one
expresses essentially that the balls do not overlap, while the other one gives
a control of the number of balls that are close to one another. In particular,
our analysis covers the case of suspensions modelled by standard Poisson
processes with almost minimal hardcore condition.

5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an