Large data global regularity for the classical equivariant Skyrme model

Dan-Andrei Geba; Manoussos G. Grillakis

doi:10.3934/dcds.2018244

Article Contents

2018, Volume 38, Issue 11: 5537-5576. Doi: 10.3934/dcds.2018244

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Large data global regularity for the classical equivariant Skyrme model

Dan-Andrei Geba^1, , and
Manoussos G. Grillakis^2,

1.
Department of Mathematics, University of Rochester, Rochester, NY 14627, USA
2.
Department of Mathematics, University of Maryland, College Park, MD 20742, USA

* Corresponding author: Dan-Andrei Geba
* Corresponding author: Dan-Andrei Geba

Received: November 2017

Revised: May 2018

Published: August 2018

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Abstract

This article is concerned with the large data global regularity for the equivariant case of the classical Skyrme model and proves that this is valid for initial data in $H^s \times H^{s-1}(\mathbb{R}^3)$ with $s>7/2$.

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Mathematics Subject Classification: Primary: 35L70; Secondary: 81T13.

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References

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