Search Results - "Jerrard, R. L."

Renormalized Energy Between Vortices in Some Ginzburg–Landau Models on 2-Dimensional Riemannian Manifolds by Ignat, R., Jerrard, R. L.

“…We study a variational Ginzburg–Landau type model depending on a small parameter ε > 0 for (tangent) vector fields on a 2-dimensional Riemannian manifold S …”
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Dynamics of nearly parallel vortex filaments for the Gross–Pitaevskii equation by Jerrard, R. L., Smets, D.

“…Klein et al. (J Fluid Mech 288:201–248, 1995) have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in…”
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Convergence of Ginzburg–Landau Functionals in Three-Dimensional Superconductivity by Baldo, S., Jerrard, R. L., Orlandi, G., Soner, H. M.

“…In this paper we consider the asymptotic behavior of the Ginzburg–Landau model for superconductivity in three dimensions, in various energy regimes. Through an…”
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Functions of Bounded Higher Variation by Jerrard, R.L., Soner, H.M.

“…We say that a function u : ℝm → ℝn, with m ≥ n, has bounded n-variation if $\text{Det}(u_{\chi _{\alpha_{1}}},\dots , u_{\chi _{\alpha_{n}}})$ is a measure for…”
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Ginzburg-landau vortices: weak stability and schrödinger equation dynamics by Colliander, J E, Jerrard, R L

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Vortex dynamics for the Ginzburg-Landau-Schrodinger equation by Colliander, J. E., Jerrard, R. L.

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Dynamics of Ginzburg-Landau vortices by JERRARD, R. L, SONER, H. M

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Vortex dynamics for the Ginzburg-Landau wave equation by Jerrard, R.L.

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Vortex Density Models for Superconductivity and Superfluidity by Baldo, S., Jerrard, R. L., Orlandi, G., Soner, H. M.

“…We study some functionals that describe the density of vortex lines in superconductors subject to an applied magnetic field, and in Bose-Einstein condensates…”
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Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation by Jerrard, R. L, Smets, D

“…In the nineties, Klein, Majda and Damodaran have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in…”
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The Jacobian and the Ginzburg-Landau energy by Jerrard, Robert L, Soner, Halil Mete

“…We study the Ginzburg-Landau functional formula omitted, where U is a bounded, open subset of R2. We show that if a sequence of functions u satisfies formula…”
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A spacetime discontinuous Galerkin method for scalar conservation laws by Palaniappan, Jayandran, Haber, Robert B., Jerrard, Robert L.

“…We present a spacetime discontinuous Galerkin (SDG) finite element method for scalar hyperbolic conservation laws. The method is consistent with the integral…”
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Limiting Behavior of the Ginzburg–Landau Functional by Jerrard, Robert L., Soner, Halil Mete

“…We continue our study of the functional E ε(u)≔∫ U 1 2 ∣∇u∣ 2+ 1 4ε 2 (1−∣u∣ 2) 2dx, for u∈ H 1( U; R 2), where U is a bounded, open subset of R 2. Compactness…”
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Shape of vortices for a rotating Bose-Einstein condensate by Aftalion, Amandine, Jerrard, Robert L.

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