Reduced equations for models of laminated materials in thin domains. I
نویسندگان
چکیده
In this paper, we consider a scalar wave equation on a thin, laminated, threedimensional plate. We show that if the plate is sufficiently thin, then there is a hierarchy of two-dimensional equations whose dynamics model the dynamics of the full plate, each of which successively lengthens the time interval over which the approximation holds.
منابع مشابه
Reduced equations for models of laminated materials in thin domains. II
In a companion paper, we considered a scalar wave equation on a thin, laminated, three-dimensional plate. We showed that if the plate was sufficiently thin, then there exists a hierarchy of two-dimensional equations whose dynamics model the dynamics of the full plate, each of which successively lengthens the time interval over which the approximation is valid. In certain cases, these approximat...
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