Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motion of grain boundaries with dynamic lattice misorientations and with
  triple junctions drag   Most technologically useful materials are polycrystalline microstructures
composed of a myriad of small monocrystalline grains separated by grain
boundaries. The energetics and connectivities of grain boundaries play a
crucial role in defining the main characteristics of materials across a wide
range of scales. In this work, we propose a model for the evolution of the
grain boundary network with dynamic boundary conditions at the triple
junctions, triple junctions drag, and with dynamic lattice misorientations.
Using the energetic variational approach, we derive system of geometric
differential equations to describe motion of such grain boundaries. Next, we
relax curvature effect of the grain boundaries to isolate the effect of the
dynamics of lattice misorientations and triple junctions drag, and we establish
local well-posedness result for the considered model.

11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin