Localized minimizers of flat rotating gravitational systems
Jean Dolbeault, Javier Fernández (2008)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data”
Localized minimizers of flat rotating gravitational systems
On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher
Adrien Blanchet (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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This review is dedicated to recent results on the 2d parabolic-elliptic Patlak-Keller-Segel model, and on its variant in higher dimensions where the diffusion is of critical porous medium type. Both of these models have a critical mass such that the solutions exist globally in time if the mass is less than and above which there are solutions which blowup in finite time. The main tools, in particular the free energy, and the idea of the methods are set out. A number of open questions...
Global solutions to vortex density equations arising from sup-conductivity
Nader Masmoudi, Ping Zhang (2005)
Annales de l'I.H.P. Analyse non linéaire
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Uniform blow-up rates and asymptotic estimates of solutions for diffusion systems with nonlocal sources.
Cui, Zhoujin, Yang, Zuodong (2007)
Differential Equations & Nonlinear Mechanics
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Some properties of solutions for a class of metaparabolic equations.
Liu, Changchun, Guan, Yujing, Wang, Zhao (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Uniqueness of the critical mass blow up solution for the four dimensional gravitational Vlasov–Poisson system
Mohammed Lemou, Florian Méhats, Pierre Raphaël (2007)
Annales de l'I.H.P. Analyse non linéaire
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