Incompressibility refers to the assumption that the density of a fluid remains constant regardless of pressure changes, meaning that the fluid's volume does not change under compression. This concept is crucial in fluid dynamics and magnetohydrodynamics, as it simplifies equations and allows for the analysis of flows without considering density variations. In the context of ideal magnetohydrodynamics, incompressibility leads to significant simplifications in governing equations and helps in understanding the behavior of conducting fluids under magnetic fields.
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