@article{34660, author = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}}, issn = {{0272-4960}}, journal = {{IMA Journal of Applied Mathematics}}, keywords = {{Applied Mathematics}}, number = {{5}}, pages = {{860--876}}, publisher = {{Oxford University Press (OUP)}}, title = {{{On the weakly competitive case in a two-species chemotaxis model}}}, doi = {{10.1093/imamat/hxw036}}, volume = {{81}}, year = {{2016}}, } @article{34662, author = {{Black, Tobias}}, issn = {{0022-247X}}, journal = {{Journal of Mathematical Analysis and Applications}}, keywords = {{Applied Mathematics, Analysis}}, number = {{1}}, pages = {{436--455}}, publisher = {{Elsevier BV}}, title = {{{Boundedness in a Keller–Segel system with external signal production}}}, doi = {{10.1016/j.jmaa.2016.08.049}}, volume = {{446}}, year = {{2016}}, } @article{34659, author = {{Black, Tobias}}, issn = {{0951-7715}}, journal = {{Nonlinearity}}, keywords = {{Applied Mathematics, General Physics and Astronomy, Mathematical Physics, Statistical and Nonlinear Physics}}, number = {{6}}, pages = {{1865--1886}}, publisher = {{IOP Publishing}}, title = {{{Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant}}}, doi = {{10.1088/0951-7715/29/6/1865}}, volume = {{29}}, year = {{2016}}, } @article{34661, author = {{Black, Tobias}}, issn = {{1468-1218}}, journal = {{Nonlinear Analysis: Real World Applications}}, keywords = {{Applied Mathematics, Computational Mathematics, General Economics, Econometrics and Finance, General Engineering, General Medicine, Analysis}}, pages = {{593--609}}, publisher = {{Elsevier BV}}, title = {{{Sublinear signal production in a two-dimensional Keller–Segel–Stokes system}}}, doi = {{10.1016/j.nonrwa.2016.03.008}}, volume = {{31}}, year = {{2016}}, } @inproceedings{8758, abstract = {{In this contribution we compare two different approaches to the implementation of a Model Predictive Controller in an electric vehicle with respect to the quality of the solution and real-time applicability. The goal is to develop an intelligent cruise control in order to extend the vehicle range, i.e. to minimize energy consumption, by computing the optimal torque profile for a given track. On the one hand, a path-based linear model with strong simplifications regarding the vehicle dynamics is used. On the other hand, a nonlinear model is employed in which the dynamics of the mechanical and electrical subsystem are modeled.}}, author = {{Eckstein, Julian and Peitz, Sebastian and Schäfer, Kai and Friedel, Patrick and Köhler, Ulrich and Hessel von Molo, Mirko and Ober-Blöbaum, Sina and Dellnitz, Michael}}, booktitle = {{Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering}}, issn = {{2212-0173}}, pages = {{465--472}}, title = {{{A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles}}}, doi = {{10.1016/j.protcy.2016.08.059}}, volume = {{26}}, year = {{2016}}, } @inproceedings{29435, author = {{Wenger, T. and Ober-Blöbaum, Sina and Leyendecker, S. }}, booktitle = {{ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering}}, pages = {{1818--1831}}, title = {{{Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials}}}, year = {{2016}}, } @inproceedings{29432, author = {{Wenger, T. and Ober-Blöbaum, Sina and Leyendecker, S. }}, booktitle = {{International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)}}, title = {{{Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods}}}, year = {{2016}}, } @inproceedings{29433, author = {{Peitz, Sebastian and Ober-Blöbaum, Sina and Dellnitz, M.}}, booktitle = {{Proceedings of International Congress of Theoretical and Applied Mechanics}}, title = {{{Reduced order model based multiobjective optimal control of fluids}}}, year = {{2016}}, } @inproceedings{29436, author = {{Stellato, B. and Ober-Blöbaum, Sina and Goulart, P.J. }}, booktitle = {{2016 IEEE 55th Conference on Decision and Control (CDC)}}, pages = {{7228--7233}}, title = {{{Optimal control of switching times in switched linear systems}}}, year = {{2016}}, } @article{31274, author = {{Borthwick, David and Weich, Tobias}}, issn = {{1664-039X}}, journal = {{Journal of Spectral Theory}}, keywords = {{Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics}}, number = {{2}}, pages = {{267--329}}, publisher = {{European Mathematical Society - EMS - Publishing House GmbH}}, title = {{{Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions}}}, doi = {{10.4171/jst/125}}, volume = {{6}}, year = {{2016}}, } @article{31289, author = {{Weich, Tobias}}, issn = {{1424-0637}}, journal = {{Annales Henri Poincaré}}, keywords = {{Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics}}, number = {{1}}, pages = {{37--52}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows}}}, doi = {{10.1007/s00023-016-0514-5}}, volume = {{18}}, year = {{2016}}, } @article{33343, abstract = {{Using an operator-theoretic framework in a Hilbert-space setting, we perform a detailed spectral analysis of the one-dimensional Laplacian in a bounded interval, subject to specific non-self-adjoint connected boundary conditions modelling a random jump from the boundary to a point inside the interval. In accordance with previous works, we find that all the eigenvalues are real. As the new results, we derive and analyse the adjoint operator, determine the geometric and algebraic multiplicities of the eigenvalues, write down formulae for the eigenfunctions together with the generalised eigenfunctions and study their basis properties. It turns out that the latter heavily depend on whether the distance of the interior point to the centre of the interval divided by the length of the interval is rational or irrational. Finally, we find a closed formula for the metric operator that provides a similarity transform of the problem to a self-adjoint operator.}}, author = {{Kolb, Martin and Krejčiřík, David}}, journal = {{Mathematische Zeitschrift}}, pages = {{877--900}}, publisher = {{Springer}}, title = {{{Spectral analysis of the diffusion operator with random jumps from the boundary}}}, doi = {{https://link.springer.com/content/pdf/10.1007/s00209-016-1677-y.pdf}}, volume = {{284}}, year = {{2016}}, } @article{33344, abstract = {{The hard disk model is a 2D Gibbsian process of particles interacting via pure hard core repulsion. At high particle density the model is believed to show orientational order, however, it is known not to exhibit positional order. Here we investigate to what extent particle positions may fluctuate. We consider a finite volume version of the model in a box of dimensions 2n × 2n with arbitrary boundary configuration, and we show that the mean square displacement of particles near the center of the box is bounded from below by c log n. The result generalizes to a large class of models with fairly arbitrary interaction.}}, author = {{Richthammer, Thomas}}, journal = {{Communications in Mathematical Physics }}, pages = {{1077--1099}}, title = {{{Lower Bound on the Mean Square Displacement of Particles in the Hard Disk Model}}}, doi = {{https://link.springer.com/article/10.1007/s00220-016-2584-0}}, volume = {{345}}, year = {{2016}}, } @article{33357, abstract = {{In this note we investigate the behaviour of Brownian motion conditioned on a growth constraint of its local time which has been previously investigated by Berestycki and Benjamini. For a class of non-decreasing positive functions f(t);t>0, we consider the Wiener measure under the condition that the Brownian local time is dominated by the function f up to time T. In the case where f(t)/t3/2 is integrable we describe the limiting process as T goes to infinity. Moreover, we prove two conjectures in [BB10] in the case for a class of functions f, for which f(t)/t3/2 just fails to be integrable. Our methodology is more general as it relies on the study of the asymptotic of the probability of subordinators to stay above a given curve. Immediately or with adaptations one can study questions like the Brownian motioned conditioned on a growth constraint of its local time at the maximum or more generally a Levy process conditioned on a growth constraint of its local time at the maximum or at zero. We discuss briefly the former. }}, author = {{Kolb, Martin and Savov, Mladen}}, journal = {{The Annals of Probability}}, number = {{6}}, publisher = {{Institute of Mathematical Statistics}}, title = {{{Transience and recurrence of a Brownian path with limited local time}}}, doi = {{http://dx.doi.org/10.1214/15-AOP1069}}, volume = {{44}}, year = {{2016}}, } @inbook{51464, author = {{Hilgert, Joachim}}, booktitle = {{Lehren und Lernen von Mathematik in der Studieneingangsphase}}, editor = {{Hoppenbrock, A.}}, publisher = {{Springer Spektrum}}, title = {{{Schwierigkeiten beim Übergang von Schule zu Hochschule im zeitlichen Vergleich - Ein Blick auf Defizite beim Erwerb von Schlüsselkompetenzen}}}, year = {{2016}}, } @inbook{51463, author = {{Hilgert, Joachim and Pasquale, A. and Przebinda, T.}}, booktitle = {{Geometric Methods in Physics}}, editor = {{Kielanowski, P.}}, publisher = {{Birkhäuser}}, title = {{{Resonances for the Laplacian: the cases BC2 and C2 (except SO(p,2) with p>2 odd)}}}, year = {{2016}}, } @article{45944, author = {{Kovács, Balázs and Power Guerra, Christian Andreas}}, issn = {{0272-4979}}, journal = {{IMA Journal of Numerical Analysis}}, keywords = {{Applied Mathematics, Computational Mathematics, General Mathematics}}, number = {{1}}, pages = {{460--494}}, publisher = {{Oxford University Press (OUP)}}, title = {{{Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces}}}, doi = {{10.1093/imanum/drw074}}, volume = {{38}}, year = {{2016}}, } @article{45936, author = {{Kovács, Balázs and Power Guerra, Christian Andreas}}, issn = {{0749-159X}}, journal = {{Numerical Methods for Partial Differential Equations}}, keywords = {{Applied Mathematics, Computational Mathematics, Numerical Analysis, Analysis}}, number = {{4}}, pages = {{1200--1231}}, publisher = {{Wiley}}, title = {{{Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces}}}, doi = {{10.1002/num.22047}}, volume = {{32}}, year = {{2016}}, } @article{45939, author = {{Kovács, Balázs and Li, Buyang and Lubich, Christian}}, issn = {{0036-1429}}, journal = {{SIAM Journal on Numerical Analysis}}, keywords = {{Numerical Analysis, Applied Mathematics, Computational Mathematics}}, number = {{6}}, pages = {{3600--3624}}, publisher = {{Society for Industrial & Applied Mathematics (SIAM)}}, title = {{{A-Stable Time Discretizations Preserve Maximal Parabolic Regularity}}}, doi = {{10.1137/15m1040918}}, volume = {{54}}, year = {{2016}}, } @article{45937, author = {{Kovács, Balázs and Lubich, Christian}}, issn = {{0272-4979}}, journal = {{IMA Journal of Numerical Analysis}}, keywords = {{Applied Mathematics, Computational Mathematics, General Mathematics}}, number = {{1}}, pages = {{1--39}}, publisher = {{Oxford University Press (OUP)}}, title = {{{Numerical analysis of parabolic problems with dynamic boundary conditions}}}, doi = {{10.1093/imanum/drw015}}, volume = {{37}}, year = {{2016}}, }