OPTIMAL CONTROL OF A CONVECTIVE-DIFFUSIVE FLUID PROBLEM-Reference-Cited by-同舟云学术

OPTIMAL CONTROL OF A CONVECTIVE-DIFFUSIVE FLUID PROBLEM

Published:1995-03 Issue:02 Volume:05 Page:225-237
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

LENHART SUZANNE¹²

Affiliation:

1. Mathematical Sciences Section, Engineering Physics and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA

2. Mathematics Department, University of Tennessee, Knoxville, TN 37996, USA

Abstract

We consider optimal control of a parabolic differential equation, modeling one-dimensional fluid flow through a soil-packed tube in which a contaminant is initially distributed. A fluid is pumped through the tube to remove the contaminant. The convective velocity due to the fluid pumping is the nonlinear control action. The goal is to minimize a performance criterion which is a combination of the total contaminant at the final time and the cost of the control. The optimal control is characterized by an optimality system.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202595000140

Cited by 48 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Optimal social distancing through cross-diffusion control for a disease outbreak PDE model;Communications in Nonlinear Science and Numerical Simulation;2024-04

2. On the regional tracking problem of the bilinear wave equation subject to bounded controls;European Journal of Control;2024-01

3. On the Optimal Control Problem for Bilinear Systems with Bounded and Unbounded Controls;Bifurcation Theory and Applications [Working Title];2023-10-09

4. Regional Optimal Control Problem for the Vibrating Plate;Journal of Mathematical Sciences;2023-10

5. On the regional control problem of the bilinear wave equation;Asian Journal of Control;2023-05-25