v3ctorsigma Creative Commons License 2018.07.01 0 0 508

Igy van.

 

In the hydrodynamic interpretation of the behaviour of electromagnetic fields, the acceleration of electric fluid in a particular direction creates a positive vortex of magnetic fluid.

Exact solutions to classical nonlinear magnetic equations include the Landau-Lifshitz equation,

https://en.wikipedia.org/wiki/Vortex#Further_examples



https://en.wikipedia.org/wiki/Landau%E2%80%93Lifshitz_model




https://en.wikipedia.org/wiki/Gauge_covariant_derivative


this equation admits several integrable and non-integrable extensions like the Landau-Lifshitz equation,
https://en.wikipedia.org/wiki/Spin_wave#Theory



According to Helmholtz's theorems, a vortex line cannot start or end in the fluid

One can say that it is the gradient of this pressure that forces the fluid to follow a curved path around the axis.

Thus vortices (unlike surface and pressure waves) can transport mass, energy and momentum over considerable distances compared to their size, with surprisingly little dispersion.

https://en.wikipedia.org/wiki/Vortex


PGF
https://en.wikipedia.org/wiki/Pressure-gradient_force


 The pressure-gradient force is represented by blue arrows, the Coriolis acceleration (always perpendicular to the velocity) by red arrows

 due to balance between the Coriolis force and the pressure gradient force.
 https://en.wikipedia.org/wiki/Low-pressure_area
 
 
 Ez a PGF-ről nekem mindig a gravitáció jut az eszembe. Nem értem, miért ...