vektorlevik
Vektorlevik is a term found in some Norwegian-language mathematical texts used to describe a construction that couples a vector field with an auxiliary scalar field to produce a derived field. There is no single, universally accepted definition, and the exact meaning varies between authors.
Common interpretations include:
- Scalar multiplication variant: given a vector field V and a scalar field f, form the scaled field
- Flow-derived variant: define a new vector field by incorporating how the scalar field changes along the
These variants reflect a broader idea of pairing vector and scalar data to study interactions in fields.
Related concepts include vector field, directional derivative, Lie derivative, Jacobian, and flow.
Applications are found in dynamical systems analysis, fluid dynamics, and vector-field visualization.