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- W1972058711 abstract "This paper is concerned with the propagation properties for a non-Newtonian polytropic filtration equation with orientated convection ∂ u ∂ t = div ( | ∇ u m | p − 2 ∇ u m ) − β → ( x ) ⋅ ▿ u q , x ∈ R N , t > 0 , where p > 1 , m , q > 0 , N ≥ 1 . Here, the orientation of the convection is specified to be either the convection with counteracting diffusion or the convection with promoting diffusion, that is β → ( x ) ⋅ ( − x ) ≥ 0 or β → ( x ) ⋅ x ≥ 0 respectively. By use of the super- and sub-solution method, we make complete classification of the three parameters m , p , q to characterize its propagation profile of solutions." @default.
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- W1972058711 date "2015-01-01" @default.
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- W1972058711 title "Propagation profile for a non-Newtonian polytropic filtration equation with orientated convection" @default.
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- W1972058711 doi "https://doi.org/10.1016/j.jmaa.2014.07.077" @default.
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