Onsager and the theory of hydrodynamic turbulence

GL Eyink, KR Sreenivasan - Reviews of modern physics, 2006 - APS
Lars Onsager, a giant of twentieth-century science and the 1968 Nobel Laureate in
Chemistry, made deep contributions to several areas of physics and chemistry. Perhaps less …

[图书][B] The nonlinear Schrödinger equation: self-focusing and wave collapse

C Sulem, PL Sulem - 2007 - books.google.com
Page 1 The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse Catherine
Sulem Pierre-Louis Sulem Springer Page 2 Applied Mathematical Sciences Volume 139 Editors …

Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation

W Bao, D Jaksch, PA Markowich - Journal of Computational Physics, 2003 - Elsevier
We study the numerical solution of the time-dependent Gross–Pitaevskii equation (GPE)
describing a Bose–Einstein condensate (BEC) at zero or very low temperature. In …

Gamma‐convergence of gradient flows with applications to Ginzburg‐Landau

E Sandier, S Serfaty - … on Pure and Applied Mathematics: A …, 2004 - Wiley Online Library
We present a method to prove convergence of gradient flows of families of energies that Γ‐
converge to a limiting energy. It provides lower‐bound criteria to obtain the convergence that …

Lectures on Coulomb and Riesz gases

S Serfaty - arXiv preprint arXiv:2407.21194, 2024 - arxiv.org
arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 1 Lectures on Coulomb and Riesz Gases
Sylvia Serfaty arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …

Emergence of order from turbulence in an isolated planar superfluid

T Simula, MJ Davis, K Helmerson - Physical review letters, 2014 - APS
We study the relaxation dynamics of an isolated zero temperature quasi-two-dimensional
superfluid Bose-Einstein condensate that is imprinted with a spatially random distribution of …

Systems of points with Coulomb interactions

S Serfaty - European Mathematical Society Magazine, 2018 - ems.press
Sylvia Serfaty is interested in developing analysis tools to understand problems from
physics. She has extensively studied the Ginzburg–Landau model of super-conductivity and …

Anomalous hydrodynamics of two-dimensional vortex fluids

P Wiegmann, AG Abanov - Physical review letters, 2014 - APS
A dense system of vortices can be treated as a fluid and itself could be described in terms of
hydrodynamics. We develop the hydrodynamics of the vortex fluid. This hydrodynamics …

Schrödinger's smoke

A Chern, F Knöppel, U Pinkall, P Schröder… - ACM Transactions on …, 2016 - dl.acm.org
We describe a new approach for the purely Eulerian simulation of incompressible fluids. In it,
the fluid state is represented by a C2-valued wave function evolving under the Schrödinger …

Scattering theory for the Gross–Pitaevskii equation in three dimensions

S Gustafson, K Nakanishi, TP Tsai - … in Contemporary Mathematics, 2009 - World Scientific
We study the global behavior of small solutions of the Gross–Pitaevskii equation in three
dimensions. We prove that disturbances from the constant equilibrium with small, localized …