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arxiv: math-ph/0201032 · v1 · submitted 2002-01-15 · 🧮 math-ph · math.AP· math.MP

A boundary-value problem for cold plasma dynamics

classification 🧮 math-ph math.APmath.MP
keywords coldplasmaproblemweakarisesboundary-valuedynamicselliptic-hyperbolic
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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 work by Yamamoto.

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