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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 16
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Articles

A reduced Ginzburg–Landau model in ℝn

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Pages 3629-3634 | Received 08 Oct 2019, Accepted 31 Jan 2020, Published online: 11 Feb 2020
 

ABSTRACT

In this work, we consider a reduced Ginzburg–Landau model in which the magnetic field is neglected. First, we show the well-posedness of weak solutions and strong solutions in a bounded domain ΩRn. Finally, we prove the well-posedness of smooth solutions when Ω:=Rn (n3).

Mathematics Subject Classifications (2010):

Acknowledgments

We are very much indebted to the referee for a very careful reading of the manuscript and for many helpful suggestions.

Disclosure statement

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

Additional information

Funding

J. Fan is partially supported by NSFC (No. 11971234). Tong Tang is partially supported by NSFC (No. 11801138).

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