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This article addresses the large data global regularity for the equivariant case of the $2+1$-dimensional Faddeev model and shows that it holds true for initial data in $H^s\times H^{s-1}(\mathbb{R}^2)$ with $s>3$.
Comment: 35 pages. arXiv admin
Comment: 35 pages. arXiv admin
Externí odkaz:
http://arxiv.org/abs/1709.00331
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 $s>7/2$.
Comment: 37 pages
Comment: 37 pages
Externí odkaz:
http://arxiv.org/abs/1707.02917
The aim of this article is to prove that for the 2+1-dimensional equivariant Faddeev model, which is a quasilinear generalization of the corresponding nonlinear sigma model, small initial data in critical Besov spaces evolve into global solutions whi
Externí odkaz:
http://arxiv.org/abs/1307.4721
We study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov spaces.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/1106.5750
Autor:
Geba, Dan-Andrei, da Silva, Daniel
One of the most interesting open problems concerning the Skyrme model of nuclear physics is the regularity of its solutions. In this article, we study 2+1 dimensional equivariant Skyrme maps, for which we prove, using the method of multipliers, that
Externí odkaz:
http://arxiv.org/abs/1106.3974
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:5537-5576
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 $s>7/2$.
37 pages
37 pages
Publikováno v:
Differential Integral Equations 32, no. 3/4 (2019), 169-210
This article addresses the large data global regularity for the equivariant case of the $2+1$-dimensional Faddeev model and shows that it holds true for initial data in $H^s\times H^{s-1}(\mathbb{R}^2)$ with $s>3$.
35 pages. arXiv admin note: te
35 pages. arXiv admin note: te
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70a35e379686049f8a642cdb86225547
https://projecteuclid.org/euclid.die/1548212428
https://projecteuclid.org/euclid.die/1548212428
We study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov spaces.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6578b6eee3f8638796f290ec5e07551e