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- W2079491090 abstract "A nonlinear hyperbolic heat equation, established from Grad’s ‘‘13-moments’’ method [Commun. Pure Appl. Math. 2, 331 (1949)] is presented as an alternative to the classical heat diffusion equation for the treatment of thermal conduction in laser-produced plasmas. In the limiting case of a free streaming plasma, it is shown that this equation naturally generates the classical flux limiter, therefore absolving the recourse to empirical adjustments. The ensuing heat equation is a nonlinear wave equation with a front velocity determined by the thermal speed of electrons. When the collision term provides the dominant effect, the resulting equation is a nonlinear diffusion equation. Exact analytic solutions to these equations are obtained for an identical set of conditions and used to compare the speeds of thermal propagation and delimit the domain of applicability of the diffusion equation." @default.
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- W2079491090 modified "2023-09-24" @default.
- W2079491090 title "Analytic approach to the problem of nonlinear thermal conduction in laser-produced plasmas" @default.
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- W2079491090 doi "https://doi.org/10.1063/1.864981" @default.
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