An Ohmic heating non-local diffusion-convection problem for the Heaviside function

N.I. Kavallaris, D.E. Tzanetis


and initial data sufficiently large, the solution u ``blows up" (in some sense). Moreover, for increasing f and Neumann boundary conditions, u is an unbounded solution global in time.

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.