Abstract
A common example of diffusion is given by the heat conduction in a solid body. Conduction comes from molecular collision, transferring heat by kinetic energy, without macroscopic material movement. If the medium is homogeneous and isotropic with respect to the heat propagation, the evolution of the temperature is described by equation (2.1); f represents the intensity of an external distributed source. For this reason eq. (2.1) is also known as the heat equation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Salsa, S., Verzini, G. (2022). Diffusion. In: Partial Differential Equations in Action. UNITEXT(), vol 147. Springer, Cham. https://doi.org/10.1007/978-3-031-21853-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-031-21853-8_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-21852-1
Online ISBN: 978-3-031-21853-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)