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Subject: heat generation ×

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    Some properties of the kinetic equation for electron transport in semiconductors
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Wagner, Wolfgang
    The paper studies the kinetic equation for electron transport in semiconductors. New formulas for the heat generation rate are derived by analyzing the basic scattering mechanisms. In addition, properties of the steady state distribution are discussed and possible extensions of the deviational particle Monte Carlo method to the area of electron transport are proposed.
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    Optimal control of elastic vector-valued AllenCahn variational inequalities
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Farshbaf-Shaker, Mohammad Hassan; Hecht, Claudia
    In this paper we consider a elastic vector-valued AllenCahn MPCC (Mathematical Programs with Complementarity Constraints) problem. We use a regularization approach to get the optimality system for the subproblems. By passing to the limit in the optimality conditions for the regularized subproblems, we derive certain generalized first-order necessary optimality conditions for the original problem.