👉 A parallel fluid is a mathematical concept used in the study of partial differential equations, particularly in fluid dynamics and continuum mechanics. It refers to a set of functions that share the same type of derivatives at every point in space and time, typically used to describe flows with specific symmetries or conservation laws. These functions are often employed to represent solutions that exhibit similar behaviors, such as incompressible or irrotational flows, where the fluid's properties like velocity and pressure vary smoothly without changing sign. The parallel nature of these functions ensures that their derivatives align in a consistent manner, simplifying the analysis and solution of complex fluid dynamics problems.
