Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness of weak solution for a nonlinear poroelasticity model   In this paper, we study the existence and uniqueness of weak solution of a
nonlinear poroelasticity model. To better describe the proccess of deformation
and diffusion underlying in the original model, we firstly reformulate the
nonlinear poroelasticity by a multiphysics approach. Then, we adopt the similar
technique of proving the well-posedness of nonlinear Stokes equations to prove
the existence and uniqueness of weak solution of a nonlinear poroelasticity
model. And we strictly prove the growth, coercivity and monotonicity of the
nonlinear stress-strain relation, give the energy estimates and use Schauder's
fixed point theorem to show the existence and uniqueness of weak solution of
the nonlinear poroelasticity model.

34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys