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One critic of the Fourier heat equation

[tex]\frac{\partial T}{\partial t}=k\nabla^2 T[/tex]

that I recently came across is that it gives rise to infinite speed of heat propagation.

I understand that the speed cannot be infinite because it contradict special relativity that no speed should be greater than the speed of light.

My question is how do they prove that the heat equation gives rise to infinite speed.

The paper also talk about Cattaneo's equation. Does anyone has any idea how to show that the propagation speed is infinite?

[tex]\frac{\partial T}{\partial t}=k\nabla^2 T[/tex]

that I recently came across is that it gives rise to infinite speed of heat propagation.

I understand that the speed cannot be infinite because it contradict special relativity that no speed should be greater than the speed of light.

My question is how do they prove that the heat equation gives rise to infinite speed.

The paper also talk about Cattaneo's equation. Does anyone has any idea how to show that the propagation speed is infinite?

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