Faculty Scholarly Dissemination Grants

Title

On a new approach from field theory to the regularity question in radial hyper-elastostatics

Department

Mathematics Department

College

College of Liberal Arts and Sciences

Disciplines

Physical Sciences and Mathematics

Abstract

In this communication, we present a recent necessary and sufficient condition for the existence of absolute weak minimizers that applies to energy functionals with scale invariance including those appearing in the pioneering work of J. Ball in 1982 on the pure displacement boundary value problem of nonlinear hyper-elasticity. We also discuss the new perspective that this result brings to the wide, open regularity question associated with such problems that would replace the delicate phase plane analysis.

Conference Name

Michigan Academy Annual Conference

Conference Location

Oakland University, Rochester, MI

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