Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
Abstract
We study a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of the mechanics of a continuous medium. Recent results on the problem provide existence, uniqueness and regularity of the optimal solution. Here we obtain the first necessary optimality conditions.
Create a lesson
Related papers
UGM: A Unified Framework and New Perspectives for Accelerated Gradient Methods in Smooth and Strongly Convex Optimization
Danqing Zhou, Shiqian Ma, Junfeng Yang
When MILP Beats QP: Piecewise-Linear Reformulations of Sequentially Coupled Bilinear Programs
Quentin Ploussard, Maris Usis, Oluwabunmi Iwakin et al.
Marine Autonomous Vehicle Fleet Scheduling to Maximise Scientific Impact
Mehdi El Krari, Jonathan Smith, Maria Fox
Asymptotic consensus and flocking under decaying persistent excitation on rooted digraphs
Chiara Cicolani, Elisa Continelli, Cristina Pignotti
Co-Optimized Generation, Transmission, and Storage Expansion: System Value and Optimal Duration of Pumped-Storage Hydropower
Rafael Benchimol Klausner, Rafael Kelman
Randomized Quasi-Gauss--Newton Methods for Solving General Nonlinear Equations
Chengchang Liu, Luo Luo