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.
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Godunov, S.K. (2008). On Approximations for Overdetermined Hyperbolic Equations. In: Benzoni-Gavage, S., Serre, D. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75712-2_2
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DOI: https://doi.org/10.1007/978-3-540-75712-2_2
Publisher Name: Springer, Berlin, Heidelberg
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