TY - JOUR AU - Winkler, Michael ID - 35617 JF - Applied Mathematics Letters TI - Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. VL - 112 ER - TY - JOUR AU - Winkler, Michael ID - 35613 JF - Transactions of the American Mathematical Society TI - Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. VL - 374 ER - TY - JOUR AU - Rösler, Margit AU - Voit, Michael ID - 37659 IS - 3 JF - Proceedings of the American Mathematical Society KW - Applied Mathematics KW - General Mathematics SN - 0002-9939 TI - Positive intertwiners for Bessel functions of type B VL - 149 ER - TY - JOUR AU - Tao, Youshan AU - Winkler, Michael ID - 35603 JF - Journal of Functional Analysis TI - A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. VL - 281 ER - TY - JOUR AU - Tao, Youshan AU - Winkler, Michael ID - 35606 JF - Nonlinear Analysis, Theory, Methods and Applications TI - The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. VL - 208 ER - TY - JOUR AU - Wang, Yulan AU - Winkler, Michael AU - Xiang, Zhaoyin ID - 35612 JF - Science China Mathematics TI - Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. VL - 64 ER - TY - JOUR AU - Ding, Mengyao AU - Winkler, Michael ID - 35601 JF - Nonlinear Differential Equatiions and Applicatiions TI - Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities. VL - 28 ER - TY - JOUR AU - Tao, Youshan AU - Winkler, Michael ID - 35605 JF - Communications in Mathematical Sciences TI - Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. VL - 19 ER - TY - JOUR AU - Tao, Youshan AU - Winkler, Michael ID - 35604 JF - SIAM Journal on Mathematical Analysis TI - Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection. VL - 53 ER - TY - JOUR AU - Wang, Yulan AU - Winkler, Michael AU - Xiang, Zhaoyin ID - 35610 JF - Communications in Partial Differential Equations TI - Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. VL - 46 ER - TY - JOUR AU - Wang, Yulan AU - Winkler, Michael AU - Xiang, Zhaoyin ID - 35611 JF - Advances in Nonlinear Analysis TI - Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation VL - 10 ER - TY - JOUR AU - Tao, Youshan AU - Winkler, Michael ID - 35608 IS - --A JF - Discrete and Continuous Dynamical Systems TI - Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction VL - 41 ER - TY - JOUR AB - In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under ERH for every positive integer n where an n-quadratic field is a number field of degree 2ⁿ represented as the composite of n quadratic fields. AU - Klüners, Jürgen AU - Komatsu, Toru ID - 34840 IS - 329 JF - Mathematics of Computation KW - Applied Mathematics KW - Computational Mathematics KW - Algebra and Number Theory SN - 0025-5718 TI - Imaginary multiquadratic number fields with class group of exponent $3$ and $5$ VL - 90 ER - TY - JOUR AB - Let E be an ordinary elliptic curve over a finite field and g be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of principally polarized abelian varieties in the isogeny class of E⁹ . The varieties are first described as hermitian lattices over (not necessarily maximal) quadratic orders and then geometrically in terms of their algebraic theta null point. We also show how to algebraically compute Siegel modular forms of even weight given as polynomials in the theta constants by a careful choice of an affine lift of the theta null point. We then use these results to give an algebraic computation of Serre’s obstruction for principally polarized abelian threefolds isogenous to E³ and of the Igusa modular form in dimension 4. We illustrate our algorithms with examples of curves with many rational points over finite fields. AU - Kirschmer, Markus AU - Narbonne, Fabien AU - Ritzenthaler, Christophe AU - Robert, Damien ID - 34912 IS - 333 JF - Mathematics of Computation KW - Applied Mathematics KW - Computational Mathematics KW - Algebra and Number Theory SN - 0025-5718 TI - Spanning the isogeny class of a power of an elliptic curve VL - 91 ER - TY - JOUR AB - This paper is devoted to algebro-geometric study of infinite dimensional Lie bialgebras, which arise from solutions of the classical Yang–Baxter equation. We regard trigonometric solutions of this equation as twists of the standard Lie bialgebra cobracket on an appropriate affine Lie algebra and work out the corresponding theory of Manin triples, putting it into an algebro-geometric context. As a consequence of this approach, we prove that any trigonometric solution of the classical Yang–Baxter equation arises from an appropriate algebro-geometric datum. The developed theory is illustrated by some concrete examples. AU - Burban, Igor AU - Abedin, R. ID - 44329 IS - 2 JF - Communications in Mathematical Physics TI - Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation VL - 387 ER - TY - JOUR AB - The role of domain-specific content knowledge is discussed controversially for the early childhood context. Therefore, this review aims at untangling the research on domain-specific content knowledge for early childhood educators by systematically reviewing the conceptual and operational definition of and results on early childhood educators' content knowledge in different domains. Using the scientific databases ERIC, PsycInfo and Web of Sciences, we identified 36 studies on early childhood educators' domain-specific content knowledge. By comparing these studies, we found that conceptualizations of early childhood educators' content knowledge move on a continuum between a scientific related perspective and a practice related perspective. The scientific related perspective defines content knowledge as the knowledge of key concepts, facts and rules of the domain integrating knowledge taught in primary, secondary or upper secondary school. The practice related perspective includes knowledge of key concepts, facts and rules of the domain limited to the knowledge explicitly relevant for teaching in early childhood education as well as selected domain-specific knowledge of children and teaching. Our review shows that the results and implications drawn by the study authors depend on how these authors conceptualize early childhood educators' content knowledge on this continuum. Further research, therefore, needs to consider carefully how early childhood educators' content knowledge is conceptualized. The paper further discusses gaps in this research field, such as validating methods for measuring early childhood educators' content knowledge or implementing more rigorous experimental designs to examine effects of early childhood educators' content knowledge. AU - Bruns, Julia AU - Gasteiger, Hedwig AU - Strahl, Carolin ID - 34822 IS - 2 JF - Review of Education KW - content knowledge KW - domain-specific learning KW - early childhood education KW - teacher knowledge SN - 2049-6613 TI - Conceptualising and measuring domain-specific content knowledge of early childhood educators: A systematic review VL - 9 ER - TY - JOUR AU - Bruns, Julia AU - Schopferer, T. ID - 45687 JF - . TPS – Theorie und Praxis der Sozialpädagogik TI - Eine mustergültige Wissenschaft VL - 11 ER - TY - CONF AU - Jensen, Solveig AU - Gasteiger, Hedwig AU - Bruns, Julia ED - Inprasitha, Maitree ED - Changsri, Narumon ED - Boonsena, Nisakorn ID - 36527 T2 - Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education TI - Place value and regrouping as seperate constructs of place value understanding VL - 3 ER - TY - JOUR AU - Bruns, Julia AU - Gasteiger, Hedwig AU - Strahl, Carolin ID - 34823 IS - 2 JF - Review of Education SN - 2049-6613 TI - Context and Implications Document for: Conceptualising and measuring domain-specific content knowledge of early childhood educators: A systematic review VL - 9 ER - TY - CONF AU - Jensen, Solveig AU - Gasteiger, Hedwig AU - Bruns, Julia ID - 36536 T2 - Beiträge zum Mathematikunterricht 2021 TI - Stellenwertverständnis: Verständnis von Stellenwertprinzip und Bündelungsprinzip als separate Konstrukte ER -