Jonathan J. Bevan

collaborators

3 papers

math.AP2016

Twists and shear maps in nonlinear elasticity: explicit solutions and vanishing Jacobians

Jonathan J. Bevan, Sandra Kabisch

In this paper we study constrained variational problems that are principally motivated by nonlinear elasticity theory. We examine in particular the relationship between the positiv…

math.AP2014

Explicit examples of Lipschitz, one-homogeneous solutions of log-singular planar elliptic systems

J. Bevan

We give examples of systems of Partial Differential Equations that admit non-trivial, Lipschitz and one-homogeneous solutions in the form $u (R, θ) = R g (θ)$ , where $(R, θ)$ are plane…

math.AP2014

A remark on a stability criterion for the radial cavitating map in nonlinear elasticity

J. Bevan

An integral functional $I(w) = \int_{B} \left|\adj \nabla w \frac{w}{|w|^{3}}\right|^{q}$ defined on suitable maps $w$ is studied. The inequality $I (w) \geq I (id)$ , where…