arXiv Analytics

Sign in

arXiv:1010.1896 [math.AP]AbstractReferencesReviewsResources

The ground state energy of the three dimensional Ginzburg-Landau model in the mixed phase

Ayman Kachmar

Published 2010-10-10Version 1

We consider the Ginzburg-Landau functional defined over a bounded and smooth three dimensional domain. Supposing that the strength of the applied magnetic field varies between the first and second critical fields, in such a way that $H_{C_1}\ll H\ll H_{C_2}$, we estimate the ground state energy to leading order as the Ginzburg-Landau parameter tends to infinity.

Comments: 13 pages
Categories: math.AP, math-ph, math.MP
Related articles: Most relevant | Search more
arXiv:1109.1287 [math.AP] (Published 2011-09-06)
The ground state energy of the three dimensional Ginzburg-Landau functional. Part I: Bulk regime
arXiv:2205.11497 [math.AP] (Published 2022-05-23)
Global Dynamics Above The Ground State Energy For The Energy-Critical Klein-Gordon Equation
arXiv:1112.5663 [math.AP] (Published 2011-12-23, updated 2013-03-04)
Global dynamics of the nonradial energy-critical wave equation above the ground state energy

Links

Toolbox