Generalizing the Bardos-LeRoux-Nédélec boundary condition for ...

The problem BLN condition & Alternatives Effective BC graph Definition Uniqueness Definition Bis Existence & Convergence of Approximations
...the BLN condition and its justification...
Example. Dimension one, Ω = [0, 1], the linear case :
we consider ϕ(z) := z and the homogeneous Dirichlet datum u D := 0.
In this case, we have the problem ut + ux = 0, u|t=0 = u0 and
condition (BLN) reads :
at the point x = 0, γu = 0;
at the point x = 1, γu is arbitrary.