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Results tagged with conservation-laws
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user 211652
The statement that a property of a system does not change if the system is isolated.
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Accepted
Deriving partial differential equation for temperature using conservation laws and constitue...
First of all, what was said in the question and assumed wrong:
Constant heat capacity means $$\partial_{\rho}\partial_{T}\hat{u}=\partial_\rho \big(\partial_T \hat{f}(\rho, T) - \hat{f}(\rho, T) - …
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answer
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Deriving partial differential equation for temperature using conservation laws and constitue...
I want to derive the partial differential equation for the temperature T as
$$
\partial_t T(t,x) + v(t,x)\cdot \nabla T(t,x)=0.
$$
Quick note: I'm doing a mathematics major, and so I do not really un …