Existence and uniqueness of solution for multidimensional parabolic PDAEs arising in semiconductor modeling
- Alì, Giuseppe
- Rotundo, Nella
2010 Mathematics Subject Classification
- 35K40 35K55 35K51 82D37 94C05
- Existence and uniqueness of solution, multidimensional parabolic PDAEs, network and semiconductor coupling model
This paper concerns with a compact network model combined with distributed models for semiconductor devices. For linear RLC networks containing distributed semiconductor devices, we construct a mathematical model that joins the differential-algebraic initial value problem for the electric circuit with multi-dimensional parabolic-elliptic boundary value problems for the devices. We prove an existence and uniqueness result, and the asymptotic behavior of this mixed initial boundary value problem of partial differential-algebraic equations.