Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin-Shtrikman type - Mathematical PhysicsReport as inadecuate




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Abstract: Minimization variational principles for linear elastodynamic, acoustic, orelectromagnetic time-harmonic waves in dissipative media were obtained byMilton, Seppecher and Bouchitt\-e generalizing the quasistatic variationalprinciples of Cherkaev and Gibiansky. Here a further generalization is made toallow for a much wider variety of boundary conditions, and in particularDirichlet and Neumann boundary conditions. In addition minimization ormaximization principles of the Hashin-Shtrikman type, incorporating-polarization fields-, are developed.



Author: Graeme W. Milton, John R. Willis

Source: https://arxiv.org/







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