This course focus on magnetohydrodynamics physics in plasmas with applications in, both, space and fusion plasmas
- Derivation of MHD equations (starting from Klimontovitvh-Dupree formalism) and limits of the model
- Equilibrium (including Tokamak equilibrium), Waves and conserved quantities (Flux conservation, Alfvén theorem)
- Energy principle for equilibrium stability - MHD stability
- Kink instability in ideal MHD, using the energy principle
- Tearing instability in resistive MHD
- Beyond the energy principle: Kelvin-Helmholtz instability in unmagnetized and magne-
tized plasmas
- Hydrodynamics and Alfvénic turbulence (Spectra, mechanisms for the energy cascade,
induced transport, from Kolmogorov to balanced cascades