# American Institute of Mathematical Sciences

December  2019, 12(6): 1297-1312. doi: 10.3934/krm.2019050

## Large amplitude stationary solutions of the Morrow model of gas ionization

 1 Department of Mathematics and Lefschetz Center for Dynamical Systems, Brown University, Providence, RI 02912, USA 2 Department of Computer Science and Engineering, Nagoya Institute of Technology, Nagoya, 466-8555, Japan

* Corresponding author: Masahiro Suzuki

Received  January 2019 Revised  May 2019 Published  September 2019

Fund Project: M. Suzuki is supported by JSPS KAKENHI Grant Numbers 26800067 and 18K03364.

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 $\mathcal{K}$ 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.

Citation: Walter A. Strauss, Masahiro Suzuki. Large amplitude stationary solutions of the Morrow model of gas ionization. Kinetic & Related Models, 2019, 12 (6) : 1297-1312. doi: 10.3934/krm.2019050
##### References:

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##### References:
voltage–current curve
case 1
case 2
alternative (ⅱ)
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