John Carlos Baez on Nostr: nprofile1q…cvgna wrote: "Firstly, where can I learn more about magnetic diffusion, ...
nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpq0l88929ze7h5h7g7pu7y0e0077c03zqtp9zk63zpx4gg7m2ypcnqmcvgna (nprofile…vgna) wrote:
"Firstly, where can I learn more about magnetic diffusion, or more generally, vector valued diffusion?"
Since the vector-valued heat equation is just like 3 copies of the usual heat equation, every fact you know about heat equation applies!
The full-fledged magnetic diffusion equation is nonlinear and thus more complicated; you can learn a bit more about it by clicking on "magnetic diffusivity" in my blog, and even more by going to the reference by Ogilvie that I recommend.
"Secondly, and more trivially, I got confused by the seemingly twice defined quantity in your post shown in the screenshots below."
I used two names for it but it's the same thing, ρ𝐯, so I should get rid of one of those names. Thanks!
"Firstly, where can I learn more about magnetic diffusion, or more generally, vector valued diffusion?"
Since the vector-valued heat equation is just like 3 copies of the usual heat equation, every fact you know about heat equation applies!
The full-fledged magnetic diffusion equation is nonlinear and thus more complicated; you can learn a bit more about it by clicking on "magnetic diffusivity" in my blog, and even more by going to the reference by Ogilvie that I recommend.
"Secondly, and more trivially, I got confused by the seemingly twice defined quantity in your post shown in the screenshots below."
I used two names for it but it's the same thing, ρ𝐯, so I should get rid of one of those names. Thanks!