Vector calculus — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables Implicit differentiation Taylor s theorem Related rates … Wikipedia
Vector potential — In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential , which is a scalar field whose negative gradient is a given vector field.Formally, given a vector field v, a… … Wikipedia
Conservative vector field — In vector calculus a conservative vector field is a vector field which is the gradient of a function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral from one point to another is… … Wikipedia
Complex lamellar vector field — In vector calculus, a complex lamellar vector field is a vector field in three dimensions which is orthogonal to its own curl. That is, Complex lamellar vector fields are precisely those that are normal to a family of surfaces. A special case are … Wikipedia
Laplacian vector field — In vector calculus, a Laplacian vector field is a vector field which is both irrotational and incompressible. If the field is denoted as v, then it is described by the following differential equations:: abla imes mathbf{v} = 0, : abla cdot… … Wikipedia
Lamellar vector field — In vector analysis and in fluid dynamics, a lamellar vector field is a vector field with no rotational component. That is, if the field is denoted as v, then : abla imes mathbf{v} = 0 .A lamellar field is practically synonymous with an… … Wikipedia
Solenoidal vector field — In vector calculus a solenoidal vector field (also known as an incompressible vector field) is a vector field v with divergence zero at all points in the field; The fundamental theorem of vector calculus states that any vector field can be… … Wikipedia
Navier–Stokes equations — Continuum mechanics … Wikipedia
Flow velocity — In fluid dynamics the flow velocity, or velocity field, of a fluid is a vector field which is used to mathematically describe the motion of a fluid.DefinitionThe flow velocity of a fluid is a vector field: mathbf{u}=mathbf{u}(mathbf{x},t)which… … Wikipedia
Closed and exact differential forms — In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form that is the exterior derivative of another … Wikipedia