Regularity of solutions for the critical N-dimensional Burgers' equation
Chan, Chi Hin ; Czubak, Magdalena
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010), p. 471-501 / Harvested from Numdam
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Nous considérons l'équation de Burgers avec diffusion fractionnelle dans ℝ N . Nous montrons l'existence de solutions globales regulières pour toute donnée initiale dans L 2 (ℝ N ), en utilisant une version parabolique de la méthode de De Giorgi introduite par Caffarelli et Vasseur.

We consider the fractional Burgers' equation on ℝ N with the critical dissipation term. We follow the parabolic De-Giorgi's method of Caffarelli and Vasseur and show existence of smooth solutions given any initial datum in L 2 (ℝ N ).

@article{AIHPC_2010__27_2_471_0,
     author = {Chan, Chi Hin and Czubak, Magdalena},
     title = {Regularity of solutions for the critical N-dimensional Burgers' equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {27},
     year = {2010},
     pages = {471-501},
     doi = {10.1016/j.anihpc.2009.11.008},
     mrnumber = {2595188},
     zbl = {1189.35354},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2010__27_2_471_0}
}

Chan, Chi Hin; Czubak, Magdalena. Regularity of solutions for the critical N-dimensional Burgers' equation. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) pp. 471-501. doi : 10.1016/j.anihpc.2009.11.008. http://gdmltest.u-ga.fr/item/AIHPC_2010__27_2_471_0/

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