Sylvia Serfaty (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We consider an energy-functional describing rotating superfluids at a rotating velocity ω, and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical ω above which energy-minimizers have vortices, evaluations of the minimal energy as a function of ω, and the derivation of a limiting free-boundary problem.
El Khomssi, Mohammed (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Weilin Zou, Fengquan Li, Boqiang Lv (2013)
Applications of Mathematics
The paper deals with a nonlocal problem related to the equilibrium of a confined plasma in a Tokamak machine. This problem involves terms and , which are neither local, nor continuous, nor monotone. By using the Galerkin approximate method and establishing some properties of the decreasing rearrangement, we prove the existence of solutions to such problem.
Jan Kyncl (1989)
Aplikace matematiky
In this paper, the initial value problem for the equations of reactor kinetics is solved and the temperature feedback is taken into account. The space where the problem is solved is chosen in such a way that it may correspond best of all to the mathematical properties of the cross-section models. The local solution is found by the method of iterations, its uniqueness is proved and it is shown also that existence of global solution is ensured in the most cases. Finally, the problem of mild solution...
Emmanuel Frénod, Brigitte Lucquin-Desreux (1998)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Jacob Rubinstein, Michelle Schatzman (1996/1997)
Séminaire de théorie spectrale et géométrie
Elishavili, Merab (1996)
Memoirs on Differential Equations and Mathematical Physics
Stavrakakis, Nikolaos M. (2007)
Proceedings of Equadiff 11
I. Catto, C. Le Bris, P.-L. Lions (2002)
Annales de l'I.H.P. Analyse non linéaire
Nasibov, Sh.M. (2004)
Journal of Applied Mathematics
Iričanin, D.Bratislav, Mašanović, Z.Goran, Gvozdić, Dejan (1998)
Novi Sad Journal of Mathematics
Vratislav Horálek (1981)
Aplikace matematiky
This paper deals with the method for evaluating exposures of nickel alloy structures containing both extracted and sectioned particles. The presented stereological model makes it possible to estimate two unknown spatial parameters, the mean value of the particle size distribution and the depth of etching with the use of the information obtained from the combined structure of the exposures.
Yohei Kashima (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper we mathematically analyse an evolution variational inequality which formulates the double critical-state model for type-II superconductivity in 3D space and propose a finite element method to discretize the formulation. The double critical-state model originally proposed by Clem and Perez-Gonzalez is formulated as a model in 3D space which characterizes the nonlinear relation between the electric field, the electric current, the perpendicular component of the electric current...
Zhou, Hong, Wilson, Lynda, Wang, Hongyun (2007)
Abstract and Applied Analysis
Demetrios Christodoulou (1998)
Annales de l'I.H.P. Physique théorique
Yu N. Ovchinnikov, Israel Michael Sigal (1997/1998)
Séminaire Équations aux dérivées partielles
We describe qualitative behaviour of solutions of the Gross-Pitaevskii equation in 2D in terms of motion of vortices and radiation. To this end we introduce the notion of the intervortex energy. We develop a rather general adiabatic theory of motion of well separated vortices and present the method of effective action which gives a fairly straightforward justification of this theory. Finally we mention briefly two special situations where we are able to obtain rather detailed picture of the vortex...
Cătălin Lefter, Vicentiu D. Rădulescu (1996)
Annales de l'I.H.P. Analyse non linéaire
Stan Alama, Lia Bronsard, J. Alberto Montero (2006)
Annales de l'I.H.P. Analyse non linéaire
R Alexandre, C Villani (2004)
Annales de l'I.H.P. Analyse non linéaire
Stan Alama, Lia Bronsard, Etienne Sandier (2012)
Journal of the European Mathematical Society
We consider periodic minimizers of the Lawrence–Doniach functional, which models highly anisotropic superconductors with layered structure, in the simultaneous limit as the layer thickness tends to zero and the Ginzburg–Landau parameter tends to infinity. In particular, we consider the properties of minimizers when the system is subjected to an external magnetic field applied either tangentially or normally to the superconducting planes. For normally applied fields, our results show that the resulting...