Remark on the well-posedness of weakly dispersive equations

Jiao He; Youcef Mammeri

doi:10.1051/proc/201864111

Geodesic

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Remark on the well-posedness of weakly dispersive equations

Jiao He ¹ ; Youcef Mammeri ^2,³

¹ Institut Camille Jordan, CNRS UMR 5208, Université Claude Bernard Lyon 1, 69622 Villeurbanne, France; e-mail: jiao.he@math.univ-lyon1.fr
² Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, CNRS UMR 7352, Université de Picardie Jules Verne, 80069 Amiens, France
³ Institut de Génétique, Environnement et Protection des Plantes, INRA UMR 1349, 35650 Le Rheu, France; e-mail: youcef.mammeri@u-picardie.fr

ESAIM. Proceedings, Tome 64 (2018), pp. 111-120.

Voir la notice de l'article provenant de la source EDP Sciences

Résumé

We improve the results about the well-posedness of the regularized fractional dispersive equation (1 + Dxα)ut + ux + uux = 0 when 0 α ≤ 1. When #x03B1; 1, the existence and uniqueness of vanishing viscosity solution is proved.

DOI : 10.1051/proc/201864111

Affiliations des auteurs :

Jiao He ¹ ; Youcef Mammeri ^{2, 3}

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Jiao He; Youcef Mammeri. Remark on the well-posedness of weakly dispersive equations. ESAIM. Proceedings, Tome 64 (2018), pp. 111-120. doi : 10.1051/proc/201864111. http://geodesic.mathdoc.fr/articles/10.1051/proc/201864111/

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