Nonlinear hyperbolic heat conduction

Vicenç Méndez

doi:https://doi.org/10.1515/jnet.1997.22.3.217

Nonlinear hyperbolic heat conduction

Vicenç Méndez

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

The regular perturbation method is used to solve the hyperbolic temperature evolution equation with weak nonlinear terms for a one-dimensional isolated rigid system. Some dynamic and thermodynamic aspects (e.g., the wave speed and the evolution of the entropy) are analyzed. The existence of thermal wave fronts and heat flux solitons for a non-isolated rigid system is shown analytically.

Original language	English
Pages (from-to)	217-232
Journal	Journal of Non-Equilibrium Thermodynamics
Volume	22
DOIs	https://doi.org/10.1515/jnet.1997.22.3.217
Publication status	Published - 1 Jan 1997

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title = "Nonlinear hyperbolic heat conduction",

abstract = "The regular perturbation method is used to solve the hyperbolic temperature evolution equation with weak nonlinear terms for a one-dimensional isolated rigid system. Some dynamic and thermodynamic aspects (e.g., the wave speed and the evolution of the entropy) are analyzed. The existence of thermal wave fronts and heat flux solitons for a non-isolated rigid system is shown analytically.",

author = "Vicen{\c c} M{\'e}ndez",

year = "1997",

month = jan,

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doi = "https://doi.org/10.1515/jnet.1997.22.3.217",

language = "English",

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journal = "Journal of Non-Equilibrium Thermodynamics",

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publisher = "Walter de Gruyter GmbH",

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T1 - Nonlinear hyperbolic heat conduction

AU - Méndez, Vicenç

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AB - The regular perturbation method is used to solve the hyperbolic temperature evolution equation with weak nonlinear terms for a one-dimensional isolated rigid system. Some dynamic and thermodynamic aspects (e.g., the wave speed and the evolution of the entropy) are analyzed. The existence of thermal wave fronts and heat flux solitons for a non-isolated rigid system is shown analytically.

U2 - https://doi.org/10.1515/jnet.1997.22.3.217

DO - https://doi.org/10.1515/jnet.1997.22.3.217

M3 - Article

VL - 22

SP - 217

EP - 232

JO - Journal of Non-Equilibrium Thermodynamics

JF - Journal of Non-Equilibrium Thermodynamics

SN - 0340-0204

ER -