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Titlebook: Analysis and Thermomechanics; A Collection of Pape Bernard D. Coleman,Martin Feinberg,James Serrin Book 1987 Springer-Verlag Berlin Heidelb

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One-dimensional Variational Problems whose Minimizers do not Satisfy the Euler-Lagrange Equation,In this paper we consider the problem of minimizing.in the set.of absolutely continuous function .: [.,.] ➛ ℝ satisfying the end conditions.where α and β are given constant. In (1.1), [.,.]is a finite interval, ′ denotes.and the integrand . = .(., ., .) is assumed to be smooth, nonnegative and to satisfy the .
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https://doi.org/10.1007/978-3-642-61598-6Lagrange equation; Potential; continuum mechanics; differential equation; dynamics; elasticity; fluid mech
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978-3-540-18125-5Springer-Verlag Berlin Heidelberg 1987
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Hyperbolicity and Change of Type in the Flow of Viscoelastic Fluids,arities is discussed and conditions for a change of type are investigated. The vorticity equation for steady flow can change type when a critical condition involving speed and stresses is satisfied. This leads to a partitioning of the field of flow into subcritical and supercritical regions, as in t
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