kontinuitetslikhet
Kontinuitetslikhet, or continuity equation in English, is a fundamental principle in physics and engineering that describes the conservation of some quantity. This quantity could be mass, energy, charge, or probability, among others. The core idea is that the amount of this conserved quantity within a given volume can only change if it flows into or out of that volume. It states that the rate of decrease of the amount of this quantity per unit volume is equal to the divergence of the flux of this quantity.
Mathematically, the continuity equation is often expressed as a partial differential equation. For a conserved quantity
This equation has wide-ranging applications. In fluid dynamics, it describes the conservation of mass, ensuring that