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- W166323505 abstract "We consider the problem of estimating an unknown time-dependent diffusion coefficient in a Stefan problem. We shall treat the one-dimensional case here, for which the partial differential equation model is given by $$ begin{gathered} u_t = left( {aleft( t right)u_x } right)_x {text{ 0 < t}} leqslant {text{T,0 < x < s(t),}} hfill {text{a}}left( t right)u_x left( {0,t} right) = gleft( t right){text{ 0 < t < T,}} hfill u = left( {sleft( t right),t} right) = 0{text{ 0}} leqslant {text{t}} leqslant {text{T,}} hfill {text{u}}left( {x,0} right) = phi left( x right){text{ 0}} leqslant {text{x}} leqslant {text{b,}} hfill end{gathered} $$(1.1)$$begin{gathered} dot sleft( t right) = - gamma aleft( t right)u_x left( {sleft( t right),t} right){text{ 0 < t}} leqslant {text{T,}} hfill {text{s}}left( 0 right) = b. hfill end{gathered} $$(1.2)" @default.
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- W166323505 date "1991-01-01" @default.
- W166323505 modified "2023-09-24" @default.
- W166323505 title "Parameter Estimation in the Stefan Problem" @default.
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- W166323505 doi "https://doi.org/10.1007/978-1-4612-0427-5_17" @default.
- W166323505 hasPublicationYear "1991" @default.
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