Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasistatic nonlinear viscoelasticity and gradient flows   We consider the equation of motion for one-dimensional nonlinear
viscoelasticity of strain-rate type under the assumption that the stored-energy
function is $\lambda$-convex, which allows for solid phase transformations. We
formulate this problem as a gradient flow, leading to existence and uniqueness
of solutions. By approximating general initial data by those in which the
deformation gradient takes only finitely many values, we show that under
suitable hypotheses on the stored-energy function the deformation gradient is
instantaneously bounded and bounded away from zero. Finally, we discuss the
open problem of showing that every solution converges to an equilibrium state
as time $t \to \infty$ and prove convergence to equilibrium under a
nondegeneracy condition. We show that this condition is satisfied in particular
for any real analytic cubic-like stress-strain function.

15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin