Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state
Philippe Souplet, Fred B Weissler (2003)
Annales de l'I.H.P. Analyse non linéaire
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Philippe Souplet, Fred B Weissler (2003)
Annales de l'I.H.P. Analyse non linéaire
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Adriana Garroni, Barbara Niethammer (2002)
Annales de l'I.H.P. Analyse non linéaire
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Philippe Souplet, Qi S. Zhang (2002)
Annales de l'I.H.P. Analyse non linéaire
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Hartmut R. Schwetlick (2000)
Annales de l'I.H.P. Analyse non linéaire
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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. ...
M. Pierre, R. Texier-Picard (2009)
Annales de l'I.H.P. Analyse non linéaire
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