6 citations · 14 across the 13 of their papers we have counts for
13 papers
Monotonicity of the propagation speed with respect to the diffusion in a Lotka-Volterra competition-diffusion system
Cyrille Kenne
In this paper, we study the dependence of the propagation speed on the diffusion ratio in a Lotka-volterra competition-diffusion system under strong competition. The model is known…
Complete characterization of the sign of the wave speed in the symmetric Lotka-Volterra system under strong competition
Cyrille Kenne
This paper provides a complete characterization of the sign of the propagation speed in the symmetric two-species Lotka-Volterra competition-diffusion model under strong competitio…
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…
Optimal control of a parabolic equation with a nonlocal nonlinearity
Cyrille Kenne, Landry Djomegne, Gisèle Mophou
This paper proposes an optimal control problem for a parabolic equation with a nonlocal nonlinearity. The system is described by a parabolic equation involving a nonlinear term tha…
Optimal control of a class of semilinear fractional elliptic equations
Cyrille Kenne, Gisèle Mophou, Mahamadi Warma
In this paper, a class of semilinear fractional elliptic equations associated to the spectral fractional Dirichlet Laplace operator is considered. We establish the existence of opt…
On a weak maximum principle for a class of fractional diffusive equations
Cyrille Kenne, Gisèle Mophou
We consider two evolution equations involving space fractional Laplace operator of order . We first establish some existence and uniqueness results for the considered evolut…
Stackelberg exact controllability of a class of nonlocal parabolic equations
Landry Djomegne, Cyrille Kenne
This paper deals with a multi-objective control problem for a class of nonlocal parabolic equations, where the non-locality is expressed through an integral kernel. We present the…
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…
Stackelberg-Nash null controllability for a non linear coupled degenerate parabolic equations
Landry Djomegne, Cyrille Kenne, René Dorville +1
The main purpose of this paper is to apply the notion of hierarchical control to a coupled degenerate non linear parabolic equations. We use the Stackelberg-Nash strategy with one…
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…
Hierarchical null controllability of a semilinear degenerate parabolic equation with a gradient term
Landry Djomegne, Cyrille Kenne, René Dorville +1
In this paper, we apply the hierarchical strategy to a semilinear weakly degenerate parabolic equation involving a gradient term. We use the Stackelberg-Nash strategy with one lead…
Stackelberg strategy on a degenerate parabolic equation with missing data
Landry Djomegne, Cyrille Kenne, Romario Gildas Foko Tiomela
This paper deals with the hierarchic control of a degenerate parabolic equation with missing initial condition. We present a Stackelberg strategy combining the concept of null cont…
Deterministic homogenization of variational inequalities with unilateral constraints
Hermann Douanla, Cyrille Kenne
The article studies the reiterated homogenization of linear elliptic variational inequalities arising in problems with unilateral constrains. We assume that the coefficients of the…