کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
838262 | 908357 | 2011 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: LpLp-solvability of a full superconductive model LpLp-solvability of a full superconductive model](/preview/png/838262.png)
In this article the mean-field vortex model arising from the II-type superconductivity is investigated. The vortex model is reduced to a nonlinear hyperbolic–elliptic system of PDEs in a bounded domain. Motivated by experiments, we consider physical boundary conditions, which describe a flux of superconducting vortices through the boundary of the domain. We prove the global solvability for the system. To show the solvability result we take a vanishing “viscosity” limit in an approximated parabolic–elliptic system. Since the approximated solutions do not have a compactness property, we justify this limit transition, using a kinetic formulation of our problem. The main trick is that instead of the nonlinear system, we have to investigate a linear transport equation.
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 4, August 2011, Pages 2118–2129