Neumann boundary conditions are a type of boundary condition used in differential equations, where the derivative of a function is specified on the boundary of the domain. These conditions are crucial in various physical situations, such as heat conduction and fluid flow, as they relate to the rate of change or flux across a boundary rather than the values themselves. In the context of mathematical physics, these conditions play a significant role in Sturm-Liouville theory and energy eigenfunctions, helping to define how systems behave at their limits.
congrats on reading the definition of Neumann boundary conditions. now let's actually learn it.