146 citations · 281 across the 17 of their papers we have counts for
4 papers · 1 filter
Dimension reduction for the Landau-de Gennes model on curved nematic thin films
Dmitry Golovaty, Alberto Montero, Peter Sternberg
We use the method of -convergence to study the behavior of the Landau-de Gennes model for a nematic liquid crystalline film attached to a general fixed surface in the limit of v…
A Degenerate Isoperimetric Problem in the Plane
Jiri Dadok, Peter Sternberg
We establish sufficient conditions for existence of curves minimizing length as measured with respect to a degenerate metric on the plane while enclosing a specified amount of Eucl…
Convergence of a particle method for diffusive gradient flows in one dimension
J. A. Carrillo, F. S. Patacchini, P. Sternberg +1
We prove the convergence of a particle method for the approximation of diffusive gradient flows in one dimension. This method relies on the discretisation of the energy via non-ove…
On the heteroclinic connection problem for multi-well gradient systems
Andres Zuniga, Peter Sternberg
We revisit the existence problem of heteroclinic connections in associated with Hamiltonian systems involving potentials having severa…