Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic issue for porous media systems with linear multiplicative
  gradient-type noise via state constrained arguments   The aim of the present paper is to provide necessary and sufficient
conditions to maintain a stochastic coupled system, with porous media
components and gradient-type noise in a prescribed set of constraints by using
internal controls. This work is a continuation of the results in [10], as we
consider the case of divergence type noise perturbation. On the other hand, it
provides a different framework in which the quasi-tangency condition can be
obtained with optimal speed. In comparison with the aforementioned result, here
we transform the stochastic system into a random deterministic one, via the
rescaling approach, then we study the viability of random sets. As an
application, conditions for the stabilization of the stochastic porous media
equations are obtained.

30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat