146 citations · 280 across the 10 of their papers we have counts for
11 papers
Weighted least action principle for Maxwell equations
Jacob Rubinstein, Gershon Wolansky
The Fermat principle of least time determines the path of a single ray of light given its initial and final positions and the medium electromagnetic properties. However, a single r…
A mathematical model for the progression of dental caries
Rene Fabregas, Jacob Rubinstein
A model for the progression of dental caries is derived. The analysis starts at the microscopic reaction and diffusion process. The local equations are averaged to derive a set of…
A flexible anatomical set of mechanical models for the organ of Corti
Jorge Berger, Jacob Rubinstein
We built a flexible platform to study the mechanical operation of the organ of Corti (OoC) in the transduction of basilar membrane (BM) vibrations to oscillations of an inner hair…
Reduced equations for an active model of the hydroelastic waves in the cochlea
Jacob Rubinstein, Peter Sternberg
Building upon our earlier passive models for the cochlea, here we enhance the model with an active mechanism. Starting with a one-chamber simplification leading to a system of a ti…
Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field
Lydia Peres Hari, Jacob Rubinstein, Peter Sternberg
Using a Ginzburg-Landau model, we study the vortex behavior of a rectangular thin film superconductor subjected to an applied current fed into a portion of the sides and an applied…
The resistive state in a superconducting wire: Bifurcation from the normal state
Jacob Rubinstein, Peter Sternberg, Kevin Zumbrun
We study formally and rigorously the bifurcation to steady and time-periodic states in a model for a thin superconducting wire in the presence of an imposed current. Exploiting the…