Geodesic
A normalized solitary wave solution of the Maxwell-Dirac equations
Nolasco, Margherita1
1Dipartimento di Ingegneria e Scienze dell'informazione e Matematica, Università dell'Aquila, via Vetoio, Loc. Coppito, 67010 L'Aquila (AQ), Italy
Annales de l'I.H.P. Analyse non linéaire, novembre – décembre 2021, Tome 38 (2021) no. 6, pp. 1681-1702
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We prove the existence of a L2-normalized solitary wave solution for the Maxwell-Dirac equations in (3+1)-Minkowski space. In addition, for the Coulomb-Dirac model, describing fermions with attractive Coulomb interactions in the mean-field limit, we prove the existence of the (positive) energy minimizer.

Reçu le :
Accepté le :
DOI : 10.1016/j.anihpc.2020.12.006
Classification : 49S05, 81V10, 35Q60, 35Q51
Keywords: Maxwell-Dirac equations, Solitary waves, Variational methods

Nolasco, Margherita  1

1 Dipartimento di Ingegneria e Scienze dell'informazione e Matematica, Università dell'Aquila, via Vetoio, Loc. Coppito, 67010 L'Aquila (AQ), Italy 
@article{AIHPC_2021__38_6_1681_0,
     author = {Nolasco, Margherita},
     title = {A normalized solitary wave solution of the {Maxwell-Dirac} equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1681--1702},
     year = {2021},
     publisher = {Elsevier},
     volume = {38},
     number = {6},
     doi = {10.1016/j.anihpc.2020.12.006},
     mrnumber = {4327893},
     zbl = {1475.49060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2020.12.006/}
}
TY  - JOUR
AU  - Nolasco, Margherita
TI  - A normalized solitary wave solution of the Maxwell-Dirac equations
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2021
SP  - 1681
EP  - 1702
VL  - 38
IS  - 6
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2020.12.006/
DO  - 10.1016/j.anihpc.2020.12.006
LA  - en
ID  - AIHPC_2021__38_6_1681_0
ER  - 
%0 Journal Article
%A Nolasco, Margherita
%T A normalized solitary wave solution of the Maxwell-Dirac equations
%J Annales de l'I.H.P. Analyse non linéaire
%D 2021
%P 1681-1702
%V 38
%N 6
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2020.12.006/
%R 10.1016/j.anihpc.2020.12.006
%G en
%F AIHPC_2021__38_6_1681_0
Nolasco, Margherita. A normalized solitary wave solution of the Maxwell-Dirac equations. Annales de l'I.H.P. Analyse non linéaire, novembre – décembre 2021, Tome 38 (2021) no. 6, pp. 1681-1702. doi: 10.1016/j.anihpc.2020.12.006

Cité par Sources :

Research partially supported by MIUR grant PRIN 2015 2015KB9WPT, “Variational methods, with applications to problems in mathematical physics and geometry”.