Macroscopic limit for an evaporation-condensation problem. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2015. - Online-Ressource (PDF-Datei: 16 S., 281,5 KB). - (Preprint ; M15,06)
We consider a rarefied gas mixture confined between two parallel walls consisting of vapor passing through the walls (evaporation, condensation), and a noncondensable which is totally reflected at the walls. Under a diffusive scaling we derive a macroscopic limit in which the noncondensable forms a well-defined boundary layer slowing down the vapor flow. The results differ substantially from others obtained with asymptotic analysis strategies. Our calculations are based on discrete velocity models.
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On graphs double-critical with respect to the colouring number. - In: Discrete mathematics and theoretical computer science, ISSN 1365-8050, Bd. 17 (2015), 2, S. 49-62
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. - Surveys in differential-algebraic equations ; 3. - Cham [u.a.] : Springer, 2015. - IX, 313 S.. - (Differential-algebraic equations forum, DAE-F) ISBN 978-3-319-22427-5
Literaturangaben
Locally definitizable operators: the local structure of the spectrum. - In: Operator theory, (2015), S. 241-259
Zero dynamics and root locus for a boundary controlled heat equation. - In: Mathematics of control, signals, and systems, ISSN 1435-568X, Bd. 27 (2015), 3, S. 347-373
https://doi.org/10.1007/s00498-015-0143-4
Heterogeneous functions (WG3). - In: Dagstuhl Reports, ISSN 2192-5283, Bd. 5 (2015), 1, S. 121-129
Aus: Understanding Complexity in Multiobjective Optimization (Dagstuhl Seminar 15031) S. 96-163
https://doi.org/10.22032/dbt.42198
Linear relations and the Kronecker canonical form. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2015. - Online-Ressource (PDF-Datei: 27 S., 402 KB). - (Preprint ; M15,05)
We show that the Kronecker canonical form (which is a canonical decomposition for pairs of matrices) is the representation of a linear relation in a finite dimensional space. This provides a new geometric view upon the Kronecker canonical form. Each of the four entries of the Kronecker canonical form has a natural meaning for the linear relation which it represents. These four entries represent the Jordan chains at finite eigenvalues, the Jordan chains at infinity, the so-called singular chains and the multi-shift part. Or, to state it more concise: For linear relations the Kronecker canonical form is the analogue of the Jordan canonical form for matrices.
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Zero dynamics and stabilization for analytic linear systems. - In: Acta applicandae mathematicae, ISSN 1572-9036, Bd. 138 (2015), 1, S. 17-57
http://dx.doi.org/10.1007/s10440-014-9956-2
Distributed and decentralized control of residential energy systems incorporating battery storage. - In: IEEE transactions on smart grid, Bd. 6 (2015), 4, S. 1914-1923
http://dx.doi.org/10.1109/TSG.2015.2392081