PDE 4 | Transport equation: general solution

An introduction to partial differential equations.

Part 4 topics:

-- general solution of the transport equation using characteristic coordinates

[seamie]

hours spent tryna figure out what it is from college notes, but only you could get me understand it. Legend

[Postermaestro]

Such a good series so far, very pedagogical and gives you that deep understanding and intuition that makes you want to watch the next video to find out more. Definitely sets you up nicely for the method of characteristics. Good thing I found this channel so I dont have to waste more time in class. Tbh, the classical lecture format is ass, because even if you get that 1 in 20 great lecturer, you still cant pause and rewind when you need a little extra time to think. Thank you for these videos!

[jeanpaulnavier]

EXCELLENT!!! Why don't exist so much teachers like you? thank you very much for sharing it

[orestisgaides]

Apreciate the work you have done on these videos they are really helpful!

[nalidbass]

Yes. If c is negative then the wave would be moving in the opposite direction. For all
practical purposes c is the velocity of the wave.

[michellejingdong]

Thank you so much! The series of videos on PDE are really helpful!

[murraychannell]

This video is perfect for a student studying PDEs, trying to grasp this concept

[michelarjuna]

I like how you kept this derivation very abstract. Now I can say I fully understand it. Thanks a lot for making the video. Have my like! :)

[sammir-wtvp]

EXCELLENT U R THE BEST TEACHER IN WHOLE THE WORLD CUZ U GIVE THE DEEP N CLEAR PICTURE

[gdejx]

excellent lectures on PDEs. very helpful!

[yuetingluo]

Thank you so much!!!! You are the best teacher and life saver! I wish you can be my professor in real life

[sammir-wtvp]

I can see now the big n clear picture of pdf only by you great teacher
thanks alot for you great teacher

[ozzyfromspace]

I’m just now realizing that there must be a relativistic analog for the transport equation (for waves moving at very high speeds). Pikachu face bro, thank you!

[andresjr]

The only reason im passing my PDE class is because of you eternally indebted

[leecoates]

Great videos!

Only just found these now.

[j_blue]

Thank you so much, this is incredibly helpful and interesting!

[goofydog]

Around 12.00, you say but xi is not dependent on t, xi is a coordinate measuring the distance of the cart from the original position. However the distance of the cart depends on t, quite explicitly. The end part, once you are solving v(t) is not coherent imo

[atithi]

Lucid Explanation. I really like the way of presenting the content

[raultrigo]

If c is not a constant and it was function of tiem c(t), how does this affects the solution? Would the trasnport equation be the same? Thank you,

[Stukafighter]

Great video :) what kind of HW/SW did you used to make it?