Geodesic
Convex integration for a class of active scalar equations
Shvydkoy, R.1
1 Department of Mathematics, Statistics and Computer Science, 851 S. Morgan St., M/C 249, University of Illinois, Chicago, Illinois 60607
Journal of the American Mathematical Society, Tome 24 (2011) no. 4, pp. 1159-1174

Voir la notice de l'article provenant de la source American Mathematical Society

We show that a general class of active scalar equations, including porous media and certain magnetostrophic turbulence models, admits non-unique weak solutions in the class of bounded functions. The proof is based upon the method of convex integration recently implemented for equations of fluid dynamics.
DOI : 10.1090/S0894-0347-2011-00705-4

Shvydkoy, R. 1

1 Department of Mathematics, Statistics and Computer Science, 851 S. Morgan St., M/C 249, University of Illinois, Chicago, Illinois 60607 
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Shvydkoy, R. Convex integration for a class of active scalar equations. Journal of the American Mathematical Society, Tome 24 (2011) no. 4, pp. 1159-1174. doi: 10.1090/S0894-0347-2011-00705-4

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