Displaying similar documents to “Initial limits of temperatures on arbitrary open sets.”

Weak Serrin-type finite time blowup and global strong solutions for three-dimensional density-dependent heat conducting magnetohydrodynamic equations with vacuum

Huanyuan Li (2023)

Applications of Mathematics

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This paper is concerned with a Cauchy problem for the three-dimensional (3D) nonhomogeneous incompressible heat conducting magnetohydrodynamic (MHD) equations in the whole space. First of all, we establish a weak Serrin-type blowup criterion for strong solutions. It is shown that for the Cauchy problem of the 3D nonhomogeneous heat conducting MHD equations, the strong solution exists globally if the velocity satisfies the weak Serrin's condition. In particular, this criterion is independent...

On the thermal aspect of dynamic contact problems

Christof Eck, Jiří Jarušek (2001)

Mathematica Bohemica

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A short survey of available existence results for dynamic contact problems including heat generation and heat transfer is presented.

Mathematical and physical aspects of the initial value problem for a nonlocal model of heat propagation with finite speed

Jerzy A. Gawinecki, Agnieszka Gawinecka, Jarosław Łazuka, J. Rafa (2013)

Applicationes Mathematicae

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Theories of heat predicting a finite speed of propagation of thermal signals have come into existence during the last 50 years. It is worth emphasizing that in contrast to the classical heat theory, these nonclassical theories involve a hyperbolic type heat equation and are based on experiments exhibiting the actual occurrence of wave-type heat transport (so called second sound). This paper presents a new system of equations describing a nonlocal model of heat propagation with finite...