Journal of Applied Mathematics
Volume 2003 (2003), Issue 1, Pages 17-33
doi:10.1155/S1110757X03204095
A boundary value problem for cold plasma dynamics
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
Copyright © 2003 Thomas H. Otway. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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).