All Questions
6
questions
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146
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Physical interpretation of Dirichlet energy for a membrane.
In the following model of a membrane with a mass particle in it, why does the integral represents the elastic energy of the system?
Let $\Omega$ be an open connected region (the membrane) in $\Re^2$, ...
2
votes
1
answer
55
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Could families of "Airys" and "Bairys" of integer "frequencies" be useful?
A very famous family of functions are the complex exponentials and in the case of real valued functions, the sin and cos functions. They are related by the famous Euler formulas:
$$\exp(i\phi) = \cos(...
- 26.1k
3
votes
2
answers
94
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Can we motivate mathematically why wind turbines almost always have 3 flappers and aeroplane propellers can have any number of flappers?
Firstly I know some might frown upon a question so very broad and applied as this one. It really may not be a well defined mathematical question as some people would prefer on the site. I am okay with ...
- 26.1k
8
votes
1
answer
360
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How can one tell if a PDE describes wave behaviour?
I have been looking at a lot of different non-linear PDEs which describe waves lately and have come to the realisation that I don't know what it is about these PDEs that make them behave like waves. ...
- 93
0
votes
1
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168
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numerical update rule for discretized hawkes excitation process
So I think I am just misunderstanding some simple notation or something and would appreciate some help. I am trying to replicate this model in an agent based model, but I cannot seem to figure out the ...
- 2,531
2
votes
1
answer
393
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The PDE $u_t = -\Delta^2 u -\Delta u + f$
Does the PDE $u_t = -\Delta^2 u -\Delta u + f$ have a physical use or meaning? I am asking specifically about the the Laplace term after the biLaplace term.. is it unusual or "unnecessary" in some way ...
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