EXISTENCE AND REGULARITY FOR VAN ROOSBROECK SYSTEMS WITH GENERAL MIXED BOUNDARY CONDITIONS
Nayla HAYECK, Abdeljalil Nachaoui, Nabil R. NASSIF · COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering · 1990
Using the topological degree of Leray‐Shauder, and Grisvard's results for elliptic equations with mixed boundary conditions, we extend Mock's results for the steady‐state Van Roosbroeck system, with the change from Neuman to Dirichlet boundary conditions occuring at a flat angle. Similar results are obtained for continuity equations that include a general recombination rate.