## Deriving the expression of the Lorentz force using the language of a mathematician

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

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

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...

Here we present two approaches to construct Helmholtz decompositions.

This is an exercise in Evans, Partial Differential Equations (1st edition), page 164, problem 13.

This is a post recording my answer to a question on Math StackExchange1 with some references in L. Tartar’s book2. https://math.stackexchange...

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

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...

Sobolev embedding When $p=n$

This is an exercise in Evans, Partial Differential Equations (2nd edition), Chapter 10 Conservation laws.