Weak-very weak uniqueness to the time-dependent Ginzburg–Landau model for superconductivity in Rn

Abstract

In this paper, we consider the n(n≥3)dimensional time-dependent Ginzburg–Landau model for superconductivity. First, we obtain a global existence of very weak solutions. Finally we prove a result of weak-very weak uniqueness.

Keywords

• Ginzburg–Landau model
• Weak solutions
• Uniqueness