A unifying perspective on linear continuum equations prevalent in science. Part III: Canonical forms for dynamic equations with moduli that may, or may not, vary with time

2020/06/03 by Graeme W. Milton, Milton, Graeme W. · 1 citation
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.2006.02432

openalex publication_date 2020/06/03 · openalex created_date 2020/06/12 · openalex updated_date 2026/07/28

Abstract

Enlarging on Parts I and II we write more equations in the desired format of the extended abstract theory of composites. We focus on a multitude of full dynamic equations, including equations where the medium is moving or otherwise changing in time. The motivation is that results and methods in the theory of composites then extend to these equations.

Citations

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• Time reversal and holography with spacetime transformations
• A unifying perspective on linear continuum equations prevalent in\n science. Part IV: Canonical forms for equations involving higher order\n gradients

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• A unifying perspective on linear continuum equations prevalent in\n science. Part II: Canonical forms for time-harmonic equations

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