Some constructions related to Helmholtz decomposition

A general question is as follows:

Since Google+ is finally to be shut down by Google as of Feb 1, 2019, aside from migrating G+’s social bookmarking functionality to Medium.com and Pocket app...

Deriving the expression of the Lorentz force using the language of a mathematcian

This is a continuation of my previous “complaining” post on the language difference of mathematician vs physicists regarding the same thing.

Random notes about physicists’ obsession with Einstein notations

I took a quantum physics class on Coursera this year and I found that the Mathematical language spoken by the two communities, math vs physics, are quite dif...

Proof of the coercivity for Robin boundary problem

This is an exercise for finite element method most likely. Our question is:

How to impose boundary condition for 2-dimensional curl-curl weak problem

First about the appropriate boundary condition we would like to impose: The cross product(scalar-$\mathrm{curl}$) in $\mathbb{R}^2$ is done by we embed a vec...