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- W2079735464 abstract "This article deals with plane progressive heat waves obeying the dimensionless third-order derivative-in-time temperature equation in which θ = θ(t, x) represents a temperature field of a two-temperature model of ballistic heat transport in a metal film, and α is a nonnegative parameter; t and x denote the time and space variables, respectively. It is shown that depending on the range of the parameter α equation (*) admits the closed-form plane progressive heat waves propagating with a velocity c > 0 in the positive direction of the x-axis and with a damping h = kc > 0 on the time-axis. In particular, for α > 1/2 there are three plane progressive heat waves θ1, θ2, and θ3 corresponding to the pairs (c 1, h 1), (c 2, h 2), and (c 3, h 3), respectively, in such a way that 0 0 and with a damping h = kc > 0 when c ranges over a finite α-dependent interval. The case α..." @default.
- W2079735464 created "2016-06-24" @default.
- W2079735464 creator A5081053018 @default.
- W2079735464 date "2012-01-01" @default.
- W2079735464 modified "2023-10-03" @default.
- W2079735464 title "Plane Progressive Heat Waves in Metal Films" @default.
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- W2079735464 doi "https://doi.org/10.1080/01495739.2012.637459" @default.
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