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:

    “Flow, flow the waves hated,
    Accursed, adored,
    The waves of mutation:
    No anchorage is.”
    —Ralph Waldo Emerson (1803–1882)

    “To feel most beautifully alive means to be reading something beautiful, ready always to apprehend in the flow of language the sudden flash of poetry.”
    —Gaston Bachelard (1884–1962)

    “But even suppose blood should flow. Is there not a sort of blood shed when the conscience is wounded? Through this wound a man’s real manhood and immortality flow out, and he bleeds to an everlasting death. I see this blood flowing now.”
    —Henry David Thoreau (1817–1862)