How does the heat equation change in the real world?

lavinia · Oct 13, 2012

The heat equation predicts that heat spreads infinitely far over arbitrarily small time intervals. What happens in real life? How does the heat equation get modified?

espen180 · Oct 13, 2012

In the real (classical) world, you have to take into account relativity, which can be done by a well defined way of "upgrading" a Galileo-invariant equation to a corresponding Lorentz-invariant one. There is a relevant Wikipedia article you can read here: http://en.wikipedia.org/wiki/Relativistic_heat_conduction

How does the heat equation change in the real world?

Discussion

Graduate Does a moving particle count as a wave?

Undergrad Is Water's Volume Expansion Upon Freezing an Intrinsic Property?

Undergrad Optimal landing ramp profile for downhill bike drops

Undergrad How many carriers for phased array?

High School Why would sailboat racers prefer a full keel over a fin keel?

Graduate Phase change complexity of ammonium carbamate (AC) decomposition and recombination

Undergrad Calculating vapor pressure from Boltzmann distribution?

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

How does the heat equation change in the real world?

Discussion

Similar threads

Graduate How can I solve the heat equation with fixed and varying temperatures?

Why does the heat equation use second derivatives instead of first derivatives?

Change of variables in Heat Equation (and Fourier Series)

Graduate Heat equation on infinite domain

Graduate Why does this "clearly" solve the heat equation?

How Does Separation of Variables Solve the Heat Equation in a Metal Rod?

Graduate Why does the heat equation contain a second spatial derivative?

How to Solve the Time Dependent 1D Heat Equation Using Crank-Nicolson Method?

C++ compilation errors in backward finite difference heat equation code

Graduate Where does the dλ come from in the heat equation Fourier integral