具有可变系数的静态传质模型的乘法控制问题

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

Applied Mathematics and Optimization Pub Date : 2024-10-07 DOI:10.1007/s00245-024-10189-4

Evgenii S. Baranovskii, Roman V. Brizitskii, Zhanna Yu. Saritskaia

引用次数: 0

摘要

证明了具有可变系数的静态传质方程的混合边界值问题的弱解的全局存在性。建立了物质浓度的最大和最小原则。证明了所考虑模型的乘法控制问题的可解性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multiplicative Control Problem for the Stationary Mass Transfer Model with Variable Coefficients

The global existence of a weak solution of a mixed boundary value problem for the stationary mass transfer equations with variable coefficients is proved. The maximum and minimum principle for the substance concentration is established. The solvability of a multiplicative control problem for the considered model is proved.

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来源期刊

Applied Mathematics and Optimization 数学-应用数学

CiteScore

3.30

自引率

5.60%

发文量

103

审稿时长

>12 weeks

期刊介绍： The Applied Mathematics and Optimization Journal covers a broad range of mathematical methods in particular those that bridge with optimization and have some connection with applications. Core topics include calculus of variations, partial differential equations, stochastic control, optimization of deterministic or stochastic systems in discrete or continuous time, homogenization, control theory, mean field games, dynamic games and optimal transport. Algorithmic, data analytic, machine learning and numerical methods which support the modeling and analysis of optimization problems are encouraged. Of great interest are papers which show some novel idea in either the theory or model which include some connection with potential applications in science and engineering.