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:

    “No care, no stop; so senseless of expense
    That he will neither know how to maintain it
    Nor cease his flow of riot, takes no account
    How things go from him, nor resumes no care
    Of what is to continue.”
    —William Shakespeare (1564–1616)

    “Clay answered the petition by declaring that while he looked on the institution of slavery as an evil, it was ‘nothing in comparison with the far greater evil which would inevitably flow from a sudden and indiscriminate emancipation.’”
    —State of Indiana, U.S. public relief program (1935-1943)

    “Though your views are in straight antagonism to theirs, assume an identity of sentiment, assume that you are saying precisely that which all think, and in the flow of wit and love roll out your paradoxes in solid column, with not the infirmity of a doubt.”
    —Ralph Waldo Emerson (1803–1882)