Title of article
Formation of singularities for a transport equation with nonlocal velocity
Author/Authors
CORDOBA، ANTONIO نويسنده , , CORDOBA، DIEGO نويسنده , , FONTELOS، MARCO A. نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
-1376
From page
1377
To page
0
Abstract
We study a 1D transport equation with nonlocal velocity and show the formation of singularities in finite time for a generic family of initial data. By adding a diffusion term the finite time singularity is prevented and the solutions exist globally in time.
Keywords
Arithmatic methods , Analytic methods
Journal title
Annals of Mathematics
Serial Year
2005
Journal title
Annals of Mathematics
Record number
117831
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