| Contents |
| Interface problems for PDEs are initial boundary value problems for which equations in one domain prescribe the boundary conditions for equations in adjacent domains. In applications, these interface conditions follow from conservations laws. Few interface problems allow for a fully explicit closed-form solution, using classical solution methods. Using the Fokas method, we present such solutions for both dissipative and dispersive linear interface problems. Specific problems are heat conduction and optical transmission in composite media of both finite and infinite extent. The ideas are extended to problems with moving interfaces. |
|