Large amplitude stationary solutions of the Morrow model of gas ionization
KINETIC AND RELATED MODELS(2019)
Abstract
We consider the steady states of a gas between two parallel plates that is ionized by a strong electric field so as to create a plasma. We use global bifurcation theory to prove that there is a curve X of such states with the following property. The curve begins at the sparking voltage and either the particle density becomes unbounded or the curve ends at the anti-sparking voltage.
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Key words
Hyperbolic-parabolic-elliptic coupled system,boundary value problem,global bifurcation,gas discharge,sparking voltage
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