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:
“By the flow of the inland river,
Whence the fleets of iron have fled,
Where the blades of the grave-grass quiver,
Asleep are the ranks of the dead:—”
—Francis Miles Finch (1827–1907)
“The current of our thoughts made as sudden bends as the river, which was continually opening new prospects to the east or south, but we are aware that rivers flow most rapidly and shallowest at these points.”
—Henry David Thoreau (1817–1862)
“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)