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Relativistic
magnetohydrodynamics (MHD) effectively describes the mutual evolution
of fluid and electromagnetic fields. Its basic equations are based on
the conservation of charges, including the electric charge and
energy-momentum, together with the Maxwell equations. Although the
Maxwell equations and the Maxwell energy-momentum tensor are
rigorously known, formulating the dissipative contributions to the
energy-momentum tensor and charge currents is a nontrivial task. In
this talk, I discuss various approaches to formulating resistive
dissipative MHD and its extensions. Then, I explain how external and
dynamic electromagnetic fields modify equilibrium conditions. Finally,
I briefly introduce some analytical solutions to non-dissipative MHD
as well as recent developments in numerical solutions to second-order
resistive and dissipative MHD.
The talk will be live-streamed (but not recorded) via Zoom under
https://uni-frankfurt.zoom.us/j/2848286010?pwd=VmtCY1RCc1hpVStKd0RibFBpc1IzZz09
Transport and
Magnetohydrodynamics Meeting