Applications of Nonlinear Variational Inequalities in Engineering

Abstract

Nonlinear Variational Inequalities (NVI) have emerged as a powerful mathematical framework with a wide array of applications in the field of engineering. These inequalities offer an elegant and flexible means to model and solve complex engineering problems characterized by nonlinearity, constraints, and optimization objectives. This article provides an overview of the mathematical foundation of NVIs and delves into their practical applications across various engineering disciplines. We explore how NVIs are employed to address critical challenges in structural engineering, transportation engineering, environmental engineering, and electrical and control engineering. By highlighting the significance of NVIs in these domains, we illustrate their impact on optimizing engineering systems and solving intricate real-world problems. As engineering continues to evolve, NVIs are poised to play a central role in advancing efficiency, reliability, and sustainability in engineering applications.