Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential decay properties of a mathematical model for a certain
  fluid-structure interaction   In this work, we derive a result of exponential stability for a coupled
system of partial differential equations (PDEs) which governs a certain
fluid-structure interaction. In particular, a three-dimensional Stokes flow
interacts across a boundary interface with a two-dimensional mechanical plate
equation. In the case that the PDE plate component is rotational inertia-free,
one will have that solutions of this fluid-structure PDE system exhibit an
exponential rate of decay. By way of proving this decay, an estimate is
obtained for the resolvent of the associated semigroup generator, an estimate
which is uniform for frequency domain values along the imaginary axis.
Subsequently, we proceed to discuss relevant point control and boundary control
scenarios for this fluid-structure PDE model, with an ultimate view to optimal
control studies on both finite and infinite horizon. (Because of said
exponential stability result, optimal control of the PDE on time interval
$(0,\infty)$ becomes a reasonable problem for contemplation.)

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom