Hazmitaz
Oct15-11, 06:53 AM
Hello,
It has taken me a long time to try and figure out what a system of coupled PDEs actually IS-and I still can't get a straight answer.
For example I have a system:
\dot{M}=-LvM
\dot{N}=-Lv+wN
where here ,L, represents the lie derivative and M, N , v, w, are all elements of the sets of vector fields on a manifold. And I want to write this system as a pair of coupled PDEs with independent variables (x,t)\inℝxℝ.
I hope this question is clear and please answer sooner rather than later if you can.
It has taken me a long time to try and figure out what a system of coupled PDEs actually IS-and I still can't get a straight answer.
For example I have a system:
\dot{M}=-LvM
\dot{N}=-Lv+wN
where here ,L, represents the lie derivative and M, N , v, w, are all elements of the sets of vector fields on a manifold. And I want to write this system as a pair of coupled PDEs with independent variables (x,t)\inℝxℝ.
I hope this question is clear and please answer sooner rather than later if you can.