On an Elliptic Boundary Value Problem with Mixed Boundary Conditions, Arising in Suspended Sediment Transport Theory
Gunnar Aronsson, Bengt Winzell · SIAM Journal on Mathematical Analysis · 1978
In this paper we prove the existence of an equilibrium distribution in the three-dimensional diffusion model for suspended sediment transport. Mathematically, this means that we solve an elliptic boundary value problem with mixed boundary conditions in a domain with corners. We use Riesz–Schauder theory and some of the classical Agmon–Douglis–Nirenberg estimates, among other things.