Partial Differential Equations Overview

Partial differential equations are the mathematical language we use to describe physical phenomena that vary in space and time. Examples include gravitation, electromagnetism, and fluid dynamics.

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This video was produced at the University of Washington

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0:00 Overview of Partial Differential Equations
4:28 Canonical PDEs
15:23 Linear Superposition
22:15 Nonlinear PDE: Burgers Equation

[arvindp]

Really really grateful to be here! Thank you Professor!! Keep inspiring all of us and please never get tired of teaching :)

[yufish]

Thank you professor! I am an engineer in semiconductor laser design. It is very useful and important to understand vector calculus and PDEs! The numerical method to solve a lot of related physics problem in our field is based on what you are teaching now. I wish I could have met you 10 years ago!

[oguzo.]

I like how you make these relatively complicated concepts look simple.

[adiron]

Am I the only one who's stunned by how easly he can write fliped text?? insane party trick!

[HosRo]

clear, concise, excellent! thank you!

[worship_the_ocean]

Love the videos so much. You just highlight all the most important points and weave them together so that things make actual sense! Thank you!
Really hoping to see Green's functions method of solving PDEs explained, Prof. Brunton.
And everything Fourier related (yes, I know there are tons of videos on F. transform on your channel already, the more the better though :)

[guymunson]

Thanks for your efforts, I find your videos to be a big help.

[SajjadKhan-cnmv]

if people in the past were canonized for bringing understanding or enlightment to the masses, shouldn't people like Dr. Brunton be canonized today

[curtpiazza]

WOW! I'm sold on Linearity! Thanx for that clear explanation! 😊

[squareroot]

so great with descibing linear vs non-linear. I feel like that is a concept that is hard to uderstand at first.

[tomctutor]

Its about time (pun here) someone done a neat and thoughtful presentation on PDE's.

[paulpfaeffli]

Dear Prof, thank you very much for all your great videos, super!!

[ramanujanbose]

Thanks Professor for such an interesting video. I generally get a bit tensed when it comes to PDEs but being a CAE engineer I have to deal with it. But now I developed interest in it and eagerly waiting for more videos on PDEs

[kirilchi]

Great overview, thanks for the intuition and insights!

[virajkadam]

Thank you professor.. All these years I have been not enjoying calculus because it wasn't intuitive.. This is really fun

[Serraa]

Awesome, you have replaced my PDEs teacher. Greetings from Spain.

[drelijahmikail]

Usually, U_t = U(t), du/dt is usually denoted by u'_t, where d^2u/dx^2 is usually denoted by u"_x (with dpuble quotes),

[himanshuraj]

Sir..Very lucid, informative, and esoteric presentation.

[esel-fliegen]

I love pdes and excited about this video. Thanks Prof.

[chipfoo]

Today lecture look like... review class for mid term exam paper...tq Prof.