From AMS Glossary
Revision as of 20:13, 26 January 2012 by Perlwikibot
A linear second-order partial differential equation of the form
where ∇2 is the Laplacian operator and k is a constant.
This equation occurs frequently in dynamic meteorology, for example, in numerical forecasting or in the study of lee waves. In classical physics it is the equation of the vibrating membrane. The case k = 0 reduces to a Laplace equation.