Robert L. Jerrard

Lower bounds for generalized Ginzburg-Landau functionals

We study properties of Ginzburg--Landau functionals

Critical points via Gamma-convergence: general theory and applications

I^\e_U(\cdot)

Shape of vortices for a rotating Bose-Einstein condensate

, defined for functions

Some Rigidity Results Related to Monge—Ampère Functions

u\in W^{1,n}(U; {\cal R}^n)

Scaling limits and regularity results for a class of Ginzburg-Landau systems

, where

On the motion of a curve by its binormal curvature

U\subset {\cal R}^n

Nonclassical rotational inertia of a supersolid.

. In particular, we establish lower bounds relating the energy

Rectifiability of the distributional Jacobian for a class of functions

I^\e_U(u)

On the NLS dynamics for infinite energy vortex configurations on the plane

to the Brouwer degree of u, and we prove under additional hypotheses that the energy concentrates on a small number of small sets. As a consequence we deduce some compactness theorems. Such estimates are useful in studying Ginzburg--Landau-type PDEs associated with the functional

Fully nonlinear phase field equations and generalized mean curvature motion

I^\e_U