Periodic solutions of Ginzburg–Landau theory for atomic Fermi gases near the BCS–BEC crossover

ABSTRACT

In this paper, the existence of the time-periodic solution to the time-dependent Ginzburg–Landau(TDGL) equations in the case of BCS–BEC crossover is established relying on the Leray–Schauder fixed point theorem.

KEYWORDS:

• Time-periodic solution
• Leray–Schauder fixed point theorem
• Ginzburg–Landau equations
• BCS–BEC crossover

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 35Q56

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (NSFC) [grant numbers 11731014 and 11571254].