Optimal feeding strategy for the minimal time problem of a fed-batch bioreactor with mortality rate

The paper is organized as follows: §2 introduces the ba- sic notation and the stability concepts considered in this paper, §3 introduces a metric on the parameter space Π, under

We consider an optimal control problem of Mayer type and prove that, under suitable conditions on the system, the value function is differentiable along optimal trajectories,

Numerical Simulations of Viscoelastic Fluid Flows Past a Transverse Slot Using Least-Squares Finite Element Methods Hsueh-Chen Lee1.. Abstract This paper presents a least-squares

Then it seems likely that for β > 1/2 there is a Ricci flat K¨ ahler metric on the complement of the curve with standard cone singularities of cone angle 2πβ away from the origin,

We will use the idea of Bakry and Emery [1] to give a notion of a ”lower Ricci curvature bound” on graphs and to prove that Ricci curvature on Locally finite graphs is always

First introduced by Faddeev and Kashaev [7, 9], the quantum dilogarithm G b (x) and its variants S b (x) and g b (x) play a crucial role in the study of positive representations

McCoy [17, Section 6] also showed that with sufficiently strong curvature ratio bounds on the initial hypersur- face, the convergence result can be established for α > 1 for a

(9) Next, we will set up an aggregation-diffusion splitting scheme with the linear transport approximation as in [6] and provide the error estimate of this method.... As a future