Existence and Uniqueness Results for Reaction-diffusion Processes of Electrically Charged Species
Herbert Gajewski, Igor Vladimirovich Skrypnik · Birkhäuser-Verlag eBooks · 2006
We study initial-boundary value problems for elliptic-parabolic systems of nonlinear partial differential equations describing drift-diffusion- reaction processes of electrically charged species in N -dimensional bounded Lipschitzian domains. We include Fermi-Dirac statistics and admit nonsmooth material coefficients. We prove existence and uniqueness of bounded global solutions. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.