I too would have liked to have seen Navier-Stokes included, or least an inviscid Euler equation for modelling fluid flow.
PDEs you should know
31–40 of 102 posts
Re: PDEs you should know
#32The author is an undergraduate student, and judging from this list it appears that he has yet to encounter non-linear PDEs?
Besides the Navier-Stokes equations, which are already frequently mentioned, I would have very much liked to see Einstein's equations added as well.
Re: PDEs you should know
#33It's been awhile since I've had a Diff EQ class, but isn't the harmonic motion one an ODE?
ODEs are one-dimensional PDEs.
Re: PDEs you should know
#34One of them is not like the rest.
Re: PDEs you should know
#35PDEs are really useful if you are in the rare domains where they are useful. But most PDEs don't have even have closed form solutions for non-trivial boundary conditions. So unless you are a physicist or something adjacent, no, no you really don't need to know these. Hard to say what's the intended audience for the page though. Could be a message aimed at physics undergrads or something. If so, then indeed, you shoul…
Being familiar with PDEs is useful even without knowing how to solve them.
Just the formulas alone teach you how physical quantities interact with one another and give you great insights on how the universe operates on a fundamental level.
Most people may not be using them at their everyday job, or at all for that matter, but knowing the core ones is just as enlightening if not more than having read major works in Philosophy.
Re: PDEs you should know
#36Why do i need to enable javascript to see the equations tex-style
This website is using MathJax [0] to render math. MathJax and its faster and leaner competitor KaTeX are the only ways to display beautiful, human-friendly math on the Web. They can be run server-side, but many sites do it client-side. The alternative, MathML [2] is a pain for humans to write [3] — it’s a late-90s XML format — and is only supported by Firefox and Safari [4].
[2] https://en.wikipedia.org/wiki/MathML
[3] https://fred-wang.github.io/MathFonts/mozilla_mathml_test/
Re: PDEs you should know
#37I know I could look it up but having an explanation of what any of the variables mean would make this not useless.
> an explanation of what any of the variables mean
As I recall, that's pretty much Electricity & Magnetism 2 for physics undergrads. E.g. https://www.colorado.edu/sei/departments/physics/activities/...
Re: PDEs you should know
#38I don’t really get the point of this.
Who should know these?
Why should they know them?
What should they know about them?
As a mechanical engineer, for instance, it’s usually a bad idea for me to think about these equations - it’s to “in the weeds”, so to speak.
Re: PDEs you should know
#39[deleted]
Re: PDEs you should know
#40The author is an undergraduate student, and judging from this list it appears that he has yet to encounter non-linear PDEs? Besides the Navier-Stokes equations, which are already frequently mentioned, I would have very much liked to see Einstein's equations added as well.
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