In some cases mathematical models of physical or biological phenomena do not return the laws of nature used to build them. Well‐known examples of this type appear in fragmentation‐coagulation theory or in birth‐and‐death processes, as well as in some branches of transport theory. In these examples models based on the principle of conservation of mass (individuals, or particles) have solutions that are not conservative. In this paper we consider such models, augmented by diffusion in the physical space, and show that the diffusive part does not affect the breach of the conservation laws.
Kinetic‐Type Models With Diffusion: Conservative And Nonconservative Solutions
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.