181 citations · 1.7k across the 89 of their papers we have counts for
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A unifying perspective on linear continuum equations prevalent in science. Part IV: Canonical forms for equations involving higher order gradients
Graeme W. Milton
Enlarging on Parts I, II, and III we write more equations in the desired format of the extended abstract theory of composites. We focus on a multitude of equations involving higher…
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
Graeme W. Milton
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, includin…
A unifying perspective on linear continuum equations prevalent in science. Part I: Canonical forms for static, steady, and quasistatic equations
Graeme W. Milton
Following some past advances, we reformulate a large class of linear continuum science equations in the format of the extended abstract theory of composites so that we can apply th…
An extremal problem arising in the dynamics of two-phase materials that directly reveals information about the internal geometry
Ornella Mattei, Graeme W. Milton, Mihai Putinar
In two phase materials, each phase having a non-local response in time, it has been found that for some driving fields the response somehow untangles at specific times, and allows…
A unifying perspective on linear continuum equations prevalent in science. Part VI: rapidly converging series expansions for their solution
Graeme W. Milton
We obtain rapidly convergent series expansions of resolvents of operators taking the form where is a projection that acts locally in Fourier…
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
Graeme W. Milton
We consider resolvents of operators taking the form where is a projection that acts locally in Fourier space and is an ope…
A unifying perspective on linear continuum equations prevalent in science. Part II: Canonical forms for time-harmonic equations
Graeme W. Milton
Following some past advances, we reformulate a large class of linear continuum science equations in the format of the extended abstract theory of composites so that we can apply th…