 Time dependent vector field

A **time-dependent vector field** is a mathematical construct in which each point in space is associated with a vector that varies not only with position but also with time. In other words, the vector field changes as time progresses. ### Characteristics of Time-Dependent Vector Fields: 1. **Vector Field Definition**: Generally, a vector field assigns a vector to every point in a subset of space (usually \(\mathbb{R}^n\)).