A blow-up mechanism for a chemotaxis model
Miguel A. Herrero, Juan J. L. Velazquez (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Miguel A. Herrero, Juan J. L. Velazquez (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Piotr Biler, Grzegorz Karch, Wojbor Woyczynski (1999)
Studia Mathematica
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We study asymptotic behavior of solutions to multifractal Burgers-type equation , where the operator A is a linear combination of fractional powers of the second derivative and f is a polynomial nonlinearity. Such equations appear in continuum mechanics as models with fractal diffusion. The results include decay rates of the -norms, 1 ≤ p ≤ ∞, of solutions as time tends to infinity, as well as determination of two successive terms of the asymptotic expansion of solutions. ...
Razvan Gabriel Iagar, Juan Luis Vázquez (2009)
Annales de l'I.H.P. Analyse non linéaire
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Fabrice Bethuel, Giandomenico Orlandi, Didier Smets (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the -energy and the parameter . These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.
Manuel del Pino, Michał Kowalczyk, Juncheng Wei (2003)
Annales de l'I.H.P. Analyse non linéaire
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R. R. Hall, G. Tenenbaum (1986)
Compositio Mathematica
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