The porous medium equation with blowing up boundary data

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The porous medium equation with blowing up boundary data

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Title: The porous medium equation with blowing up boundary data
Handle URI: https://hdl.handle.net/10925/658
Abstract: We study the blow-up set of a solution u(x,t) to the porous medium equation, ut = δ(um), in ω x (0,T) for two different boundary conditions, u(x,t)=f (x)/(T - t)1/m-xor -∂um/∂n̂(x,t) = g(x)/(T - t)m/m-1 on ∂ω× (0,T). Here m > 1 and ω is a bounded smooth domain in ℝN. We establish point-wise and integral conditions on f and g respectively in order to obtain regional or global blow-up.
Palabras Claves: Teoría matemática - Modelos numéricos
Datos de publicación: Advanced Nonlinear Studies, Vol.9, N°1, 1-27, 2009
Facultad: Facultad de Ingeniería
Carrera: Plan Común Ingeniería

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