%0 Journal Article
%A Herrero, Miguel A.
%A Ughi, M.
%A Velázquez, J.J. L.
%T Approaching a vertex in a shrinking domain under a nonlinear flow
%D 2004
%@ 1021-9722
%U https://hdl.handle.net/20.500.14352/50106
%X We consider here the homogeneous Dirichlet problem for the equation u(t)= uΔu - γ|∇u|(2) with γ ∈ R, u ≥ 0, in a noncylindrical domain in space-time given by |x| ≤ R(t) = (T - t)(p), with p > 0. By means of matched asymptotic expansion techniques we describe the asymptotics of the maximal solution approaching the vertex x = 0, t = T, in the three different cases p > 1/2, p = 1/2(vertex regular), p < 1/2 (vertex irregular).
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