R. Jerrard

activity

19972023

most citedOn the vortex filament conjecture for Euler flows

50 citations · 194 across the 21 of their papers we have counts for

collaborators

Showing 2013 · math.APShow all

3 papers · 2 filters

math.AP2013

Hydrodynamic limit of the Gross-Pitaevskii equation

Robert L. Jerrard, Daniel Spirn

We study dynamics of vortices in solutions of the Gross-Pitaevskii equation $i \partial_{t} u = Δ u + ε^{- 2} u (1 - ∣ u ∣^{2})$ on $R^{2}$ with nonzero degree at infinity…

math.AP2013

Accelerating fronts in semilinear wave equations

Bernardo Galvão-Sousa, Robert L. Jerrard

We study dynamics of interfaces in solutions of the equation $ε □ u + \frac{1}{ε} f_{ε} (u) = 0$ , for $f_{ε}$ of the form $f_{ε} (u) = (u^{2} - 1) (2 u - ε κ)$ , for $κ \in R$ , as well as mor…

math.AP2013

Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation

Robert L. Jerrard, Didier Smets

We derive the asymptotical dynamical law for Ginzburg-Landau vortices in an inhomogeneous background density under the Schrödinger dynamics, when the Ginzburg-Landau parameter goes…