A Mini-course on EllipticâHyperbolic Equations - ICMS
A Mini-course on EllipticâHyperbolic Equations - ICMS
A Mini-course on EllipticâHyperbolic Equations - ICMS
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◮ the equati<strong>on</strong>s for a magnetic field applied to azero-temperature plasma are elliptic at certain frequencies ofthe applied field and hyperbolic at other frequencies;[for electrostatic waves: A. D. Piliya and V. I. Fedorov, Sov.Phys. JETP 33 (1971); for fully electromagnetic waves: H.Weitzner, Commun. Pure Appl. Math. 38 (1985)]◮ the governing equati<strong>on</strong>s of a simple model for l<strong>on</strong>gitudinal (orfor pure shearing) moti<strong>on</strong>s are strictly hyperbolic undertensi<strong>on</strong> and of mixed equati<strong>on</strong> type under compressi<strong>on</strong>;[J. L. Ericksen, J. Elasticity 5 (1975)]