struggling on how to show curl(U x V) in terms of directional derivative and divergence using suffix notation/Levi-Civita tensor.
tried to type what I got so far in to latex but it failed and dont have the effort to take a picture and upload but all ive done so far is essentially expand the curl and cross product in to its suffix notations.
something like
epsilon(ijk)*delta(j) (espilon(ijk)*U(j)*V(k))
x
Turn on thread page Beta
-
Kim-Jong-Illest
- Follow
- 11 followers
- 16 badges
- Send a private message to Kim-Jong-Illest
- Thread Starter
Offline16ReputationRep:- Follow
- 1
- 18-10-2015 13:31
-
Gregorius
- Follow
- 20 followers
- 13 badges
- Send a private message to Gregorius
Offline13ReputationRep:- Follow
- 2
- 18-10-2015 18:40
(Original post by Kim-Jong-Illest)
struggling on how to show curl(U x V) in terms of directional derivative and divergence using suffix notation/Levi-Civita tensor.
tried to type what I got so far in to latex but it failed and dont have the effort to take a picture and upload but all ive done so far is essentially expand the curl and cross product in to its suffix notations.
something like
epsilon(ijk)*delta(j) (espilon(ijk)*U(j)*V(k))
So you've got the ith component of the vector cross product using the first Levi-Civita symbol. Now we have
Taketo be
, substitute and use some well known identities,
Reply
Submit reply
Turn on thread page Beta
Related discussions:
- "rot"
- Curl and cros product question
- FP3 Vector Geometry Question
- Index Summation Notation
- A Geometrical way to unite Green's theorem with the magnetic ...
- Maths After A-levels
- Do you even lift girl?
- AQA GCSE CHEMISTRY Unit 2 14th June 2017 Unofficial ...
- CleverSquirrel Gets Fit!
- EmilySarah00?s 2017/18 struggle to University (A*AA)
TSR Support Team
We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.
This forum is supported by:
- charco
- Mr M
- Changing Skies
- F1's Finest
- rayquaza17
- Notnek
- RDKGames
- davros
- Gingerbread101
- Kvothe the Arcane
- TeeEff
- The Empire Odyssey
- Protostar
- TheConfusedMedic
- nisha.sri
- claireestelle
- Doonesbury
- furryface12
- Amefish
- harryleavey
- Lemur14
- brainzistheword
- Rexar
- Sonechka
- TheAnxiousSloth
- EstelOfTheEyrie
- CoffeeAndPolitics
- an_atheist
- Labrador99
- EmilySarah00
Updated: October 18, 2015
Share this discussion:
Tweet