 ##  [Conservation Law](/conservation-law) 

  ##  [Conservation Law](https://natural.quantumdictionary.io/conservation-law-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A local balance statement that the time change of an extensive quantity within a region equals the net flux across the region boundary plus any internal source or sink; it constrains admissible dynamics by enforcing local invariance properties.

 
 ##  [Conservation Law](https://mathlogic.quantumdictionary.io/conservation-law-1) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A partial differential equation expressing the local balance of a conserved quantity, typically written in differential form as time derivative of a density plus the divergence of its flux equals zero (or a source term), ensuring the quantity changes only by transport and sources/sinks.