On Approximations for Overdetermined Hyperbolic Equations

S. K. Godunov ()
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S. K. Godunov: Siberian Branch of the Russian Academy of Sciences, Sobolev Institute of Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 19-33 from Springer

Abstract: Some aspects of approximations for overdetermined systems of hyperbolic equations are considered. The formulations of extended overdetermined systems of the thermodynamically consistent equations are presented for fluid dynamics equations, magnetohydrodynamics equations, the Maxwell equations and the elasticity equations. An approach for constructing discrete models of such systems is discussed.

Keywords: Maxwell Equation; Smooth Solution; Hyperbolic System; Discontinuous Solution; Elasticity Equation (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_2

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DOI: 10.1007/978-3-540-75712-2_2

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