Nonlinear heat-transport equation beyond Fourier law: application to heat-wave propagation in isotropic thin layers
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DOI: 10.1007/s00161-016-0538-6
Abstract: By means of a nonlinear generalization of the Maxwell–Cattaneo–Vernotte equation, on theoretical grounds we investigate how nonlinear effects may influence the propagation of heat waves in isotropic thin layers which are not laterally isolated from… read more here.
Keywords: propagation; nonlinear heat; heat; equation ... See more keywords
On the local well-posedness of the nonlinear heat equation associated to the fractional Hermite operator in modulation spaces
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DOI: 10.1007/s11868-021-00394-y
Abstract: In this note we consider the nonlinear heat equation associated to the fractional Hermite operator $$H^\beta =(-\Delta +|x|^2)^\beta $$ H β = ( - Δ + | x | 2 ) β , $$0 read more here.
Keywords: hermite operator; fractional hermite; nonlinear heat; associated fractional ... See more keywords
Nonlinear heat waves and some analogies with nonlinear optics
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2020.119888
Abstract: Abstract The linear theory of heat waves is generalized to nonlinear situations in a conservation-dissipation formalism in the context of extended thermodynamics. An analogy with the theory of nonlinear electromagnetic waves is pointed out. This… read more here.
Keywords: thermodynamics; heat; optics; nonlinear optics ... See more keywords
Transient nonlinear heat transfer analysis using a generic grid refinement for structure parameter variations
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DOI: 10.1016/j.ijthermalsci.2020.106357
Abstract: Abstract Traditional finite element models are usually established based on specific structures to address the transient nonlinear heat transfer analysis; however, if the structure parameters change one has to reanalyze/rebuild the finite element models, resulting… read more here.
Keywords: transfer analysis; transient nonlinear; nonlinear heat; heat transfer ... See more keywords
On a nonlinear heat equation with viscoelastic term associated with Robin conditions
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DOI: 10.1080/00036811.2016.1238461
Abstract: This paper is devoted to study of a nonlinear heat equation with a viscoelastic term associated with Robin conditions. At first, by the Faedo–Galerkin and the compactness method, we prove existence, uniqueness, and regularity of… read more here.
Keywords: associated robin; equation viscoelastic; nonlinear heat; term associated ... See more keywords
On the Analytic Solutions of a Special Boundary Value Problem for a Nonlinear Heat Equation in Polar Coordinates
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied and Industrial Mathematics"
DOI: 10.1134/s1990478918020060
Abstract: The paper addresses a nonlinear heat equation (the porous medium equation) in the case of a power-law dependence of the heat conductivity coefficient on temperature. The equation is used for describing high-temperature processes, filtration of… read more here.
Keywords: special boundary; nonlinear heat; heat equation; heat ... See more keywords
Evolutionary algorithm based heuristic scheme for nonlinear heat transfer equations
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DOI: 10.1371/journal.pone.0191103
Abstract: In this paper, a hybrid heuristic scheme based on two different basis functions i.e. Log Sigmoid and Bernstein Polynomial with unknown parameters is used for solving the nonlinear heat transfer equations efficiently. The proposed technique… read more here.
Keywords: scheme; nonlinear heat; transfer equations; heat transfer ... See more keywords