TY  - JOUR
AU  - Elliot, C. M.
AU  - Herrero, Miguel A.
AU  - King, J. R.
AU  - Ockendon, J.R.
PY  - 1986
DO  - 10.1093/imamat/37.2.147
SN  - 0272-4960
UR  - https://hdl.handle.net/20.500.14352/64758
T2  - IMA Journal of Applied Mathematics
AB  - In this paper we consider the limit m→+∞ of solutions of the porous-medium equation ut = ∇•(um∇u)(xεRN), with N > 1. We conjecture that, for initial data with a unique maximum, the evolution is characterized by the onset of a ‘mesa’ region, in which...
M2  - 147
PB  - Oxford University Press
KW  - Porous-medium equation
KW  - initial data
KW  - spatially independent
KW  - initial value
KW  - free boundary
KW  - Stefan problem
KW  - variational inequalities
KW  - singular-perturbation
KW  - structure of the transition region
TI  - The mesa problem: diffusion patterns for ut=∇⋅(um∇u) as m→+∞ .
TY  - journal article
VL  - 37
ER  -