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

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.

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References in corpus (5)

• Field Patterns: A New Mathematical Object
• Loss Compensation in Time-Dependent Elastic Metamaterials
• Variational theory of two-fluid hydrodynamic modes at unitarity
• A unifying perspective on linear continuum equations prevalent in science. Part IV: Canonical forms for equations involving higher order gradients
• A unifying perspective on linear continuum equations prevalent in science. Part I: Canonical forms for static, steady, and quasistatic equations

Cited by in corpus (3)

• A unifying perspective on linear continuum equations prevalent in science. Part I: Canonical forms for static, steady, and quasistatic equations
• A unifying perspective on linear continuum equations prevalent in science. Part IV: Canonical forms for equations involving higher order gradients
• A unifying perspective on linear continuum equations prevalent in physics. Part V: resolvents; bounds on their spectrum; and their Stieltjes integral representations when the operator is not selfadjoint