PDE 4 | Transport equation: general solution
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- Опубликовано: 6 окт 2024
- An introduction to partial differential equations.
PDE playlist: www.youtube.com...
Part 4 topics:
-- general solution of the transport equation using characteristic coordinates
hours spent tryna figure out what it is from college notes, but only you could get me understand it. Legend
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!
EXCELLENT!!! Why don't exist so much teachers like you? thank you very much for sharing it
Apreciate the work you have done on these videos they are really helpful!
Thank you so much! The series of videos on PDE are really helpful!
This video is perfect for a student studying PDEs, trying to grasp this concept
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.
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! :)
Thank you so much!!!! You are the best teacher and life saver! I wish you can be my professor in real life
EXCELLENT U R THE BEST TEACHER IN WHOLE THE WORLD CUZ U GIVE THE DEEP N CLEAR PICTURE
excellent lectures on PDEs. very helpful!
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!
Thank you so much, this is incredibly helpful and interesting!
I can see now the big n clear picture of pdf only by you great teacher
thanks alot for you great teacher
Lucid Explanation. I really like the way of presenting the content
Great videos!
Only just found these now.
See, xi, and c were a bit confusing to differentiate between. :P
*differentiate*
I ξ what you did there ;)
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
I am happy being part of this
The only reason im passing my PDE class is because of you eternally indebted
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,
Very well done! Thank You!!
Great video :) what kind of HW/SW did you used to make it?
Simply superb👍
wow v_t = 0 makes a lot of sense. ... i mean you're traveling exactly the same speed with the wave... so at every second, the wave looks the same as the previous second.
Wow! Great stuff! 😊
These are excellent, thanks
Who's that attractive fellow in the pink hat? ;)
HellaPerformance me, thanks ☺️
He said it was you.
Brilliant, man.
You need more videos! and more examples.
Hi there, why is dt/dx = 0? (assuming d represent partial derivative)
Why do you say 'it is once differentiable - in other words ist first derivative is contiuous and I can compute it'? One seems to always use 'C1' equivalently to simply 'differentiable'.. Why can we generalize that?
Ah, but is dt/dx = 0 if things are relativistic?
thank you for video posted a question but I re watched and figured it out
before you the pdf was monster after you its piece of cake
Thanks indeed for the video!
can c be negative?
Does anyone have a recommendation for material on the non-uniform transport equation where c=c(x)
Thank you!
From the transport equation, when ux is 1, ut must be -c.
Why is that so??
Anyone help me, please..
If we consider u_x to be 1, then we find the transport equation to simplify to u_t + c = 0, then this is only true when u_t = -c, you can see that with simple algebra by substracting c on both sides.
Dear colleague (I'm an elementary school teacher from Athens, Greece), I noticed that you erased the first results in the chain-rule computation to replace them with the second ones - all in the same line...
Please, avoid this if possible. It becomes more difficult for us who are less experienced in Maths to follow your thinking.
Thank you for enlightening us in PDEs... 🙂
ρε εισαι τρελος ρε
so... why are u and v equal? The notation used in this video is absolutely horrible. u(x,t), is that u as a function of x and t, and v(ξ,t) v as a function of ξ and t? How is ∂u/∂t computated as described? Is u = u(x,t), so ∂u/∂t = ∂[v(ξ,t)]/∂t? Far too many steps being missed out, here.
So lost.
a surfer surfing would seea stationary wave
you sound like ben from parks and rec
@jamstbjad Yes.
Is no one going to mention he's pronouncing xi wrong?
He indeed pronounced it right. "xi" should be pronounced as "ksi".
how did you know i was wearing a tophat?!
You fail to cover the basics
He did that in the previous video
You are supposed to learn that on your own dude. The prerequisite of diff equation would be calc 2 or 3. If you have forgotten stuffs from it go watch a short video on youtube at 2x speed if you have taken Calc 2 or 3 before. If not you might have to wait a while before digging into diff equations.
are you physics student?
Define basics? 1, 2's and 3's? How to add?
Thank you!