Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abstract nonlinear evolution inclusions of second order with
  applications in visco-elasto-plasticity   Existence of strong solutions of an abstract Cauchy problem for a class of
doubly nonlinear evolution inclusion of second order is established via a
semi-implicit time discretization method. The principal parts of the operators
acting on $u$ and $u'$ are multi-valued subdifferential operators and are
discretized implicitly. A non-variational and non-monotone perturbation acting
nonlineary on $u$ and $u'$ is allowed and discretized explicitly in time. The
convergence of a variational approximation scheme is established using methods
from convex analysis. In addition, it is proven that the solution satisfies an
energy-dissipation equality. Applications of the abstract theory to various
examples, e.g., a model in visco-elastic-plasticity, are provided.

24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol