6 papers · 1 filter
Optimal control via chemotactic sensitivity of a logistic Keller-Segel model
Yacouba Simpore, Mahamadi Warma, Luis P. Yapu
We study an optimal control problem for a two-equations Keller-Segel system on a bounded domain with Neumann boundary conditions, where the chemotactic sensitivity is modulated by…
Hierarchical local null controllability for a non-degenerate quasi-linear parabolic system
Cristian Loli, George J. Bautista, Juan Limaco +3
In this manuscript, we are concerned with the hierarchical control of a non-degenerate quasi-linear parabolic system, posed on a bounded interval. We use the Stackelberg-Nash strat…
Gauge-compatible tensors on statistical manifolds: splitting and submanifold geometry
Mirjana Milijevic, Luis P. Yapu
We study statistical manifolds endowed with a nonzero -tensor field satisfying the gauge equation \[ \nabla_X(ΘY)=Θ(\nabla_X^{*}Y). \] We first…
Decay of solutions and bilinear control to trajectories of a 1D degenerate parabolic system
Alfredo S. Gamboa, André Da Rocha Lopes, Luis P. Yapu
This paper is concerned with the decay of solutions and the analysis of the local and global exact controllability to trajectories for a class of one-dimensional nonlinear paraboli…
Bilinear control to trajectories of 1D degenerate parabolic equations in moving domains
Alfredo S. Gamboa, André da Rocha Lopes, Luis P. Yapu
In this paper, we are concerned with local controllability properties of degenerate parabolic equations in bounded domains that evolve in time. More precisely, we deal with the exa…
Nash-Stackelberg controllability for coupled systems of degenerate equations in non-cylindrical domains
Alfredo S. Gamboa, Juan Limaco, Luis P. Yapu
In this paper we investigate the Hierarchical null controllability of a coupled degenerate semilinear parabolic equation in domains which are moving in time. We show the local null…