Time Dependent Vector Field - Flow

Flow

The flow of a time dependent vector field X, is the unique differentiable map

such that for every ,

is the integral curve of X that verifies .

Read more about this topic:  Time Dependent Vector Field

Famous quotes containing the word flow:

    Only the flow matters; live and let live, love and let love. There is no point to love.
    —D.H. (David Herbert)

    Along the iron veins that traverse the frame of our country, beat and flow the fiery pulses of its exertion, hotter and faster every hour. All vitality is concentrated through those throbbing arteries into the central cities; the country is passed over like a green sea by narrow bridges, and we are thrown back in continually closer crowds on the city gates.
    John Ruskin (1819–1900)

    The method of painting is the natural growth out of a need. I want to express my feelings rather than illustrate them. Technique is just a means of arriving at a statement.... I can control the flow of paint: there is no accident, just as there is no beginning and no end.
    Jackson Pollock (1912–1956)