Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sparse optimal control of a phase field tumour model with mechanical
  effects   In this paper, we study an optimal control problem for a macroscopic
mechanical tumour model based on the phase field approach. The model couples a
Cahn--Hilliard type equation to a system of linear elasticity and a
reaction-diffusion equation for a nutrient concentration. By taking advantage
of previous analytical well-posedness results established by the authors, we
seek optimal controls in the form of a boundary nutrient supply, as well as
concentrations of cytotoxic and antiangiogenic drugs that minimise a cost
functional involving mechanical stresses. Special attention is given to
sparsity effects, where with the inclusion of convex non-differentiable
regularisation terms to the cost functional, we can infer from the first-order
optimality conditions that the optimal drug concentrations can vanish on
certain time intervals.

27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess