Abstract
The two-dimensional non-stationary heat conduction equation is analytically solved in the volume of the cylindrical cathode with the normal glow discharge spot at one of its ends. A system of equations connecting the cathode surface temperature in the spot after discharge ignition to the discharge cathode sheath parameters is formulated, and the temperature time dependence for discharge in helium is calculated, taking into account the influence of background gas heating on the spot radius.
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