Two new moving boundary problems for scalar conservation laws

Abstract

The application of the theory of scalar conservation laws to semiconductor device fabrication is described. This application is the source of a Stefan problem and another moving boundary problem for a class of such equations. The analogue of the Riemann problem for these problems is analyzed and solved. Conditions on the boundary values that characterize physically correct solutions are derived. Copyright © 1988 Wiley Periodicals, Inc., A Wiley Company