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

2020/06/03 by Graeme W. Milton, Milton, Graeme W.
Computer Science · Earth and Planetary Sciences · Engineering · #Acoustic Wave Phenomena Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Physics (physics.class-ph) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Seismic Imaging and Inversion Techniques #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.2006.02433

openalex publication_date 2020/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Following some past advances, we reformulate a large class of linear\ncontinuum science equations in the format of the extended abstract theory of\ncomposites so that we can apply this theory to better understand and\nefficiently solve those equations. Here in part II we elucidate the form for\nmany time-harmonic equations that do not involve higher order gradients.\n

Citations

• Analysis of the Brinkman equation as a model for flow in porous media
• THE ELECTRODYNAMICS OF SUBSTANCES WITH SIMULTANEOUSLY NEGATIVE VALUES OF ε AND μ
• Long-wavelength propagation in composite elastic media I. Spherical inclusions
• 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
• 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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