3 papers
math.NA2026
Fokker--Planck Dynamics on Star Graphs with Variable Drift: Well-Posedness, Adjoint Analysis, and Numerical Approximation
Ritu Kumari, Cyrille Kenne, Landry Djomegne +1
Stochastic transport processes on networked domains (modelled on metric graphs) arise in a variety of applications where diffusion and drift mechanisms interact with an underlying…
math.OC2024
Bilinear optimal control for a fractional diffusive equation
Gisèle Mophou, Cyrille Kenne, Mahamadi Warma
We consider a bilinear optimal control for an evolution equation involving the fractional Laplace operator of order . We first give some existence and uniqueness results for…
math.OC2024
Second-order optimality conditions for the bilinear optimal control of a degenerate equation
Cyrille Kenne, Landry Djomegne, Pascal Zongo
The main purpose of this paper is the study of second-order optimality conditions for the bilinear control of a strongly degenerate parabolic equation. The equation is degenerate a…