All Questions
Tagged with applications physics
18
questions with no upvoted or accepted answers
4
votes
1
answer
493
views
dynamic mean: measurement of randomly distributed events
Aim is to estimate an error on a stochastic event rate. I read out the event counter second-wise, every black $1$ is a counted event (new events over time, see the plot below).
During the measurement ...
- 376
2
votes
0
answers
98
views
Heat from a geothermal well: your take?
Imagine digging a cylinder-shaped (vertical) bore-well of depth $L$ and diameter $r$ ($L\gg r$). The (infinitely thin) cylinder-wall is made watertight and we split the well in half using a kind of ...
- 2,455
2
votes
0
answers
76
views
whats is the applications of the minimization of eigenvalue in the real life ( physics,the natural sciences...)
let $\lambda_{1}(\Omega),\lambda{2}(\Omega),\lambda_{3}(\Omega)...$ the eigenvlues of the laplacian Operator with Dirichlet condition on the boundary on $\Omega $
the classical spectrale optimisation ...
- 704
2
votes
0
answers
286
views
Basis representation for non-negative, compact support, reasonably smooth spectral function
I was wondering if anyone has ideas on representing a non-negative, compact support (from x=-1 to 1 on the real axis) spectral function as a superposition of basis elements. Ideally, the basis ...
- 21
2
votes
0
answers
92
views
Molecular vibrations and a generalisation of Wigner's rule for (non-finite) compact groups
years student of mathematics and write my script for my bachelor. The topic is "Representations of groups and applications in physics". I understand the representations very good but now i want to ...
1
vote
0
answers
31
views
Error while calculating force in 2D flow around a circle
This is statement of the exercise:
In this exercise we consider as example the case of a disk of radius R centered at the origin of coordinates immersed in a fluid of density σ and velocity field $u(x,...
1
vote
0
answers
147
views
Finding optimal 2D trajectory on a simple rocket control without air resistance
My problem is as following:
Suppose we have a rocket ship, which is modeled as a point mass(the mass doesn't matter, but we'll assume it's a constant $m_0$ for simplicity).
It can accelerate in any ...
- 111
1
vote
0
answers
22
views
Dispersion of mid-air particles: scaling laws and similarity solutions of a function
I'm currently looking at some old questions from my undergraduate studies which I may not have fully understood but would like to understand now.
The initial stage of a dispersal process is very ...
- 6,343
1
vote
0
answers
117
views
Physical meaning of this boundary value differential equation
I am considering the following boundary value problem:
$$-\frac{\mathrm{d}}{\mathrm{d}x} \left[ a(x) \frac{\mathrm{d}}{\mathrm{d}x}(u(x)) \right] + c(x)u(x) = f(x),$$
where $x \in [0,1]$ and $u(0) = ...
- 3,993
1
vote
0
answers
80
views
Heat problem with an internal source of heat for which the maximum principle doesn't hold.
Heat problem with an internal source of heat for which the maximum principle doesn't hold. The problem is the following and honestly I don't know how to solve it...
$$u_{t}=u_{tt}+2(t+1)+x(1-x) , 0&...
- 3,766
1
vote
0
answers
259
views
Applications of identity theorem to physics
Holomorphic functions have the property that they can be uniquely analytically continued to (almost) the entire complex plane. So, just by knowing how the function behaves at a teenie-weenie open disc ...
- 3,199
0
votes
0
answers
45
views
Cavalieri's Principle in volume calculation
In petroleum engineering, for easier calculation of the volume underlying a specific surface underground, the irregular surfaces are modeled by an equivalent surface with circular cross sections, ...
0
votes
0
answers
532
views
Application of Graph Theory in Electrical Circuits
I've been learning about electrical circuits, and I can see how Graph Theory naturally lends itself well to problems with circuits.
I was wondering what some examples of applications of Graph Theory ...
- 140
0
votes
0
answers
92
views
Derive the equations of motion and determine whether angular momentum is conserved..
Suppose that the gravitational force is not given by the inverse-square law, and instead is
$$ F_{grav}=\left(\frac{A}{r^{2}}+\frac{B}{r^{4}}\right)\hat{r}, $$
where A and B are real constants. Derive ...
- 1
0
votes
0
answers
146
views
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 $\Re^2$, ...
