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• W4226342854 abstract "There are several models f or heat conduction - non-Fourier equations - in the literature that are important for various practical problems. These models manifest themselves in partial differential equations, and the application of which requires developing efficient and reliable solution methods. In the present paper, we focus on the analytical solutions of two non-Fourier models, specifically on the Maxwell-Cattaneo-Vernotte and Guyer-Krumhansl equations, as they share an established thermodynamic background, and find numerous applications. Although initial conditions are usually homogeneous in space in many situations, real applications can easily point beyond such a simple initial state. Therefore, we aim to investigate the consequences of nonhomogeneous initial conditions, emphasising the physical requirements to keep the solution physically admissible. We conclude the calculations with a method for determining the initial time derivatives in consistence with thermodynamics, avoiding contradictions." @default.
• W4226342854 created "2022-05-05" @default.
• W4226342854 creator A5016016360 @default.
• W4226342854 date "2022-05-01" @default.
• W4226342854 modified "2023-10-01" @default.
• W4226342854 title "Analytical treatment of nonhomogeneous initial states for non-Fourier heat equations" @default.
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• W4226342854 doi "https://doi.org/10.1016/j.icheatmasstransfer.2022.106021" @default.
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