Definition:Conservative Vector Field/Also known as

Conservative Vector Field: Also known as

A conservative vector field is also known in the literature as:

a conservative field

a scalar potential field (from its property that it is the gradient of some scalar field)

a non-curl field

an irrotational field

a lamellar field.

A vector in such a conservative vector field is sometimes known as a lamellar vector.

Sources

• 1951: B. Hague: An Introduction to Vector Analysis (5th ed.) ... (previous) ... (next): Chapter $\text {IV}$: The Operator $\nabla$ and its Uses: $2 a$. The Operation $\nabla S$
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): irrotational: 1.
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): conservative field
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): conservative field