Journal of Applied Mathematics 
Volume 2003 (2003), Issue 1, Pages 17-33
doi:10.1155/S1110757X03204095

A boundary value problem for cold plasma dynamics

Thomas H. Otway

 Departments of Mathematics and Physics, Yeshiva University, Wilf Campus, 500 West 185th Street, New York 10033, NY, USA
Received 30 April 2002; Revised 18 July 2002

Abstract

A weak Guderley-Morawetz problem is formulated for a mixed elliptic-hyperbolic system that arises in models of wave propagation in cold plasma. Weak solutions are shown to exist in a weighted Hilbert space. This result extends the work of Yamamoto (1994).