Temporary range of validity for some mathematical models which involve the heat-diffusion equation
Temporary range of validity for some mathematical models which involve the heat-diffusion equation
We study different initial and boundary value problems for the one-dimensional heat-diffusion equation, with the purpose of establishing conditions on initial and boundary data that ensure the solution is, during a certain interval of time, bounded by two predetermined constants. When the constants represent phase-change temperatures of a material medium, …