Stable Non-Gaussian Diffusive Profiles

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dc.creatorBricmont, J.
dc.creatorKupiainen, A.
dc.date1993-06-28
dc.date.accessioned2026-07-07T09:07:38Z
dc.date.available2026-07-07T09:07:38Z
dc.descriptionWe prove two stability results for the scale invariant solutions of the nonlinear heat equation $\partial_t u=Δu - |u|^{p-1}u$ with $1<p<1+{2\over n}$, $n$ being the spatial dimension. The first result is that a small perturbation of a scale invariant solution vanishes as $t\rightarrow\infty$. The second result is global, with a positivity condition on the initial data.
dc.description12 pages, Latex
dc.identifierhttps://arxiv.org/abs/chao-dyn/9306012
dc.identifierhttp://arxiv.org/abs/chao-dyn/9306012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150441
dc.subjectChaotic Dynamics
dc.subjectCondensed Matter
dc.titleStable Non-Gaussian Diffusive Profiles
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