44 citations · 67 across the 11 of their papers we have counts for
11 papers
Existence of a traveling wave solution in a free interface problem with fractional order kinetics
Claude-Michel Brauner, Robert Roussarie, Peipei Shang +1
In this paper we consider a system of two reaction-diffusion equations that models diffusional-thermal combustion with stepwise ignition-temperature kinetics and fractional reactio…
Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space
Jean-Michel Coron, Long Hu, Guillaume Olive +1
In this article we are interested in the boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space. We e…
Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold
Shuxia Tang, Jixun Chu, Peipei Shang +1
Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg-de Vries equation posed on a finite interval . Th…
Well-posedness and exact controllability of the mass balance equations for an extrusion process
Mamadou Diagne, Peipei Shang, Zhiqiang Wang
In this paper, we study the well-posedness and exact controllability of a physical model for a food extrusion process in the isothermal case. The model expresses the mass balance i…
Feedback stabilization for the mass balance equations of a food extrusion process
Mamadou Diagne, Peipei Shang, Zhiqiang Wang
In this paper, we study the stabilization problem for a food extrusion process in the isothermal case. The model expresses the mass conservation in the extruder chamber and consist…
Well-posedness of the extrusion model described by coupled hyperbolic systems with a free boundary
Peipei Shang, Mamadou Diagne, Zhiqiang Wang
In this paper, we consider the well-posedness of the Cauchy problem for a physical model of the extrusion process, which is described by two systems of conservation laws with a fre…
Optimization of an Amplification Protocol for Misfolded Proteins by using Relaxed Control
Jean-Michel Coron, Pierre Gabriel, Peipei Shang
We investigate an optimal control problem which arises in the optimization of an amplification technique for misfolded proteins. The improvement of this technique may play a role i…
Asymptotic stability of a nonlinear Korteweg-de Vries equation with a critical length
Jixun Chu, Jean-Michel Coron, Peipei Shang
We study an initial-boundary-value problem of a nonlinear Korteweg-de Vries equation posed on a finite interval (0,2pi). The whole system has Dirichlet boundary condition at the le…
Optimal control of cell mass and maturity in a model of follicular ovulation
Frédérique Clément, Jean-Michel Coron, Peipei Shang
In this paper, we study optimal control problems associated with a scalar hyperbolic conservation law modeling the development of ovarian follicles. Changes in the age and maturity…
Cauchy problem for multiscale conservation laws: Application to structured cell populations
Peipei Shang
In this paper, we study a vector conservation law that models the growth and selection of ovarian follicles. During each ovarian cycle, only a definite number of follicles ovulate,…
Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system
Peipei Shang, Zhiqiang Wang
In this paper, we study a scalar conservation law that models a highly re-entrant manufacturing system as encountered in semi-conductor production. As a generalization of \cite{CKW…