The first eigenvalue is zero for closed domains or when using the Neumann boundary condition.
2.
The Neumann boundary condition can be written
3.
Other boundary conditions besides the Dirichlet condition, such as the Neumann boundary condition, can be imposed.
4.
For the nonhydrostatic part of the mesoscale pressure perturbation, homogeneous Neumann boundary conditions are used at lateral boundaries.
5.
On slender rings, Neumann boundary conditions are imposed, while on solid rings, Dirichlet boundary conditions are imposed.
6.
If p spatial dimensions satisfy the Neumann boundary condition, then the string endpoint is confined to move within a p-dimensional hyperplane.
7.
To find solutions for Neumann boundary condition problems, the Green's function with vanishing normal gradient on the boundary is used instead.
8.
The manifold may have a boundary, in which case one has to prescribe suitable boundary conditions, such as Dirichlet or Neumann boundary conditions.
9.
The Poisson equation is first solved on the coarse mesh with all the Dirichlet and Neumann boundary conditions, taking into account the applied bias.
10.
A boundary condition which specifies the value of the normal derivative of the function is a Neumann boundary condition, or second-type boundary condition.