The Diffusive Behavior of Solutions to the Linear Damped Wave Equation: an Undergraduate D.I.Y. Classnote

Gastão Almeida Braga, Antônio Marcos da Silva, Jussara de Matos Moreira

Despite of the fact that the Damped Wave and the Heat equations describe phenomena of distinct nature, it is amazing that their solutions are related in the limit as $t\to \infty$…