Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiscale analysis of nutrient uptake by plant roots with sparse
  distribution of root hairs: Nonstandard scaling   In this paper we undertake a multiscale analysis of nutrient uptake by plant
root hairs, considering different scale relations between the radius of hairs
and the distance between them. We combine the method of formal asymptotic
expansions and rigorous derivation of macroscopic equations. The former prompt
us to study a distinguished limit (which yields a distinct effective equation),
allow us to determine higher order correctors and provide motivation for the
construction of correctors essential for rigorous derivation of macroscopic
equations. In the final section, we validate the results of our asymptotic
analysis by direct comparison with full-geometry numerical simulations.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con