Abstract

The system of two nonlinear equations which arises in plasma physics is considered. The equations are of degenerate parabolic type. The global existence theorem for the Cauchy problem is proved. The proof is based on the Lagrangian transformation, thus using a particular structure of the system.

MSC codes

  1. 35K65
  2. 35K45

Keywords

  1. system of nonlinear equations
  2. degenerate equations
  3. mass coordinate plasma physics

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Published In

cover image SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis
Pages: 905 - 916
ISSN (online): 1095-7154

History

Submitted: 22 February 1989
Accepted: 2 August 1989
Published online: 17 February 2012

MSC codes

  1. 35K65
  2. 35K45

Keywords

  1. system of nonlinear equations
  2. degenerate equations
  3. mass coordinate plasma physics

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