Geodesic
Local Smoothness of Weak Solutions to the Magnetohydrodynamics Equations via Blowup Methods
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2006-2007), Exposé no. 21, 19 p.

Voir la notice de l'acte provenant de la source Numdam

We demonstrate that there exist no self-similar solutions of the incompressible magnetohydrodynamics (MHD) equations in the space L 3 (R 3 ). This is a consequence of proving the local smoothness of weak solutions via blowup methods for weak solutions which are locally L 3 . We present the extension of the Escauriaza-Seregin-Sverak method to MHD systems.

@article{SEDP_2006-2007____A21_0,
     author = {Nicolaenko, Basil and Mahalov, Alex and Shilkin, Timofey},
     title = {Local {Smoothness} of {Weak} {Solutions} to the {Magnetohydrodynamics} {Equations} via {Blowup} {Methods}},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:21},
     pages = {1--19},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2006-2007},
     mrnumber = {2385208},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEDP_2006-2007____A21_0/}
}
TY  - JOUR
AU  - Nicolaenko, Basil
AU  - Mahalov, Alex
AU  - Shilkin, Timofey
TI  - Local Smoothness of Weak Solutions to the Magnetohydrodynamics Equations via Blowup Methods
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:21
PY  - 2006-2007
SP  - 1
EP  - 19
PB  - Centre de mathématiques Laurent Schwartz, École polytechnique
UR  - http://geodesic.mathdoc.fr/item/SEDP_2006-2007____A21_0/
LA  - en
ID  - SEDP_2006-2007____A21_0
ER  - 
%0 Journal Article
%A Nicolaenko, Basil
%A Mahalov, Alex
%A Shilkin, Timofey
%T Local Smoothness of Weak Solutions to the Magnetohydrodynamics Equations via Blowup Methods
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:21
%D 2006-2007
%P 1-19
%I Centre de mathématiques Laurent Schwartz, École polytechnique
%U http://geodesic.mathdoc.fr/item/SEDP_2006-2007____A21_0/
%G en
%F SEDP_2006-2007____A21_0
Nicolaenko, Basil; Mahalov, Alex; Shilkin, Timofey. Local Smoothness of Weak Solutions to the Magnetohydrodynamics Equations via Blowup Methods. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2006-2007), Exposé no. 21, 19 p.. http://geodesic.mathdoc.fr/item/SEDP_2006-2007____A21_0/