127,313 research outputs found
Constrained gradient flows for Willmore-type functionals
No full textThis cumulative thesis discusses various aspects of constrained gradient flows of higher order. The main focus is the analysis of constrained Willmore-type flows of curves and surfaces and especially their asymptotic behavior. These flows yield quasilinear nonlocal geometric evolution equations of fourth order, making them challenging from the perspective of partial differential equations. Chapter 1 provides a brief review on the relevant geometric and analytic concepts needed for the following chapters 2 to 7, each of which contains one research article, Articles A to F. Chapter 2. Article A: F. Rupp. On the Lojasiewicz-Simon gradient inequality on submanifolds. J. Funct. Anal. 279 (8):108708, 2020. 33 pages. We prove a suitable version of the Lojasiewicz–Simon gradient inequality, a fundamental functional analytic tool to study general gradient flows with constraints, which will be essential for the subsequent asymptotic analysis of concrete geometric evolution problems. Chapter 3. Article B: F. Rupp and A. Spener. Existence and convergence of the length-preserving elastic flow of clamped curves, 2020. Preprint. 49 pages. We discuss the length-preserving elastic flow of open curves with clamped boundary conditions and prove existence, parabolic smoothing and convergence for initial data lying merely in the energy space. Chapter 4. Article C: F. Rupp. The volume-preserving Willmore flow, 2020. Preprint. 46 pages. We consider a constrained version of the Willmore flow of immersed closed surfaces which preserves the enclosed volume. For spherical initial data with nonzero volume and Willmore energy below 8π, we show global existence and convergence. Chapter 5. Article D: F. Rupp. The Willmore flow with prescribed isoperimetric ratio, 2021. Preprint. 39 pages. We study the Willmore flow with a constraint on the isoperimetric ratio. This flow describes a dynamical approach to the Canham–Helfrich model for lipid bilayers with zero spontaneous curvature. Under suitable assumptions on the topology and the initial energy, we can show that the flow exists globally and converges to an equilibrium. Chapter 6. Article E: M. Müller and F. Rupp. A Li–Yau inequality for the 1-dimensional Willmore energy, 2021. To appear in Adv. Calc. Var. 33 pages. We study the relation between self-intersections of planar curves and Euler’s elastic energy and show embeddedness along the elastic flow below a certain energy threshold. Chapter 7. Article F: T. Miura, M. Müller and F. Rupp. Optimal thresholds for preserving embeddedness of elastic flows, 2021. Preprint. 39 pages. We extend the previous result in Article E by finding optimal energy thresholds below which any initially embedded curve will remain embedded under the elastic flow.Diese kumulative Dissertation beschäftigt sich mit Gradientenflüssen höherer Ordnung unter Nebenbedingungen. Das Hauptaugenmerk liegt dabei auf Flüssen vom Willmore-Typ, sowohl von Kurven als auch von Flächen, und besonders auf deren asymptotischem Verhalten. Diese Flüsse entsprechen quasilinearen, nichtlokalen und geometrischen Evolutionsgleichungen vierter Ordnung, was sie zu herausfordernden Problemen im Bereich der partiellen Differenzialgleichungen macht.
Kapitel 1 bietet eine kurze Wiederholung der für die nachfolgenden Kapitel relevanten
geometrischen und analytischen Konzepte. Kapitel 2 bis 7 beinhalten jeweils die Forschungsartikel
A bis F.
Kapitel 2. Artikel A: F. Rupp. On the Lojasiewicz-Simon gradient inequality on
submanifolds. J. Funct. Anal. 279 (8):108708, 2020. 33 Seiten.
Wir beweisen eine geeignete Version der Lojasiewicz–Simon Gradientenungleichung,
einem grundlegenden funktionalanalytischen Werkzeug für die Untersuchung allgemeiner
Gradientenflüsse mit Nebenbedingungen, das für die anschließende Analyse
konkreter geometrischer Evolutionsprobleme essenziell ist.
Kapitel 3. Artikel B: F. Rupp and A. Spener. Existence and convergence of the
length-preserving elastic flow of clamped curves, 2020. Preprint. 49 Seiten.
Dieser Artikel setzt sich mit dem längenerhaltenden elastischen Fluss offener Kurven
mit eingespannten Randbedingungen auseinander. Wir zeigen Existenz, parabolische
Glättung und Konvergenz für Anfangswerte, die lediglich im Energieraum liegen.
Kapitel 4. Artikel C: F. Rupp. The volume-preserving Willmore flow, 2020. Preprint.
46 Seiten.
Wir betrachten eine Variante des Willmore-Flusses für immersierte, geschlossene
Flächen, die das eingeschlossene Volumen festhält. Für sphärische Anfangswerte mit
Volumen ungleich Null und Willmore-Energie kleiner als 8π beweisen wir globale
Existenz und Konvergenz.
Kapitel 5. Artikel D: F. Rupp. The Willmore flow with prescribed isoperimetric
ratio, 2021. Preprint. 39 Seiten.
Wir untersuchen den Willmore-Fluss unter der Nebenbedingung eines vorgegebenen
isoperimetrischen Quotienten. Dieser Fluss beschreibt eine dynamische Version des
Canham–Helfrich-Modells für Doppellipidschichten. Unter geeigneten Annahmen an
die Topologie und die Anfangsenergie zeigen wir, dass dieser Fluss global existiert
und gegen ein Äquilibrium konvergiert.
Kapitel 6. Artikel E: M. Müller and F. Rupp. A Li–Yau inequality for the 1-
dimensional Willmore energy, 2021. Zur Veröffentlichung akzeptiert in Adv. Calc.
Var. 33 Seiten.
Wir untersuchen die Beziehung zwischen den Selbstüberschneidungen planarer Kurven
und der Eulerschen elastischen Energie und zeigen, dass der elastische Fluss
unterhalb einer gewissen Energieschranke stets eingebettet ist.
Kapitel 7. Artikel F: T. Miura, M. Müller and F. Rupp. Optimal thresholds for
preserving embeddedness of elastic flows, 2021. Preprint. 39 Seiten.
Wir erweitern die Resultate aus Artikel E, indem wir optimale Energieschranken
finden, unterhalb derer eine anfangs eingebettete Kurve unter dem elastischen Fluss
eingebettet bleibt
Jean Rupp (Mgr), Un levier pour l'œcuménisme : Wladimir Solowiew
No full textB. E. Jean Rupp (Mgr), Un levier pour l'œcuménisme : Wladimir Solowiew. In: Revue des Sciences Religieuses, tome 53, fascicule 2, 1979. p. 194
Residence of C.J. Rupp
No full textResidence of C.J. Rupp. Date: March 14, 1912 b/w photograph. Gift of Camille Cazedessu
Jean Rupp (Mgr), Un levier pour l'œcuménisme : Wladimir Solowiew
No full textB. E. Jean Rupp (Mgr), Un levier pour l'œcuménisme : Wladimir Solowiew. In: Revue des Sciences Religieuses, tome 53, fascicule 2, 1979. p. 194
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Comparison of conventional reduced uterine perfusion pressure (RUPP) model and novel RUPP model.
No full text(A) Conventional RUPP model in rats. Silver clips are placed around the aorta right above the iliac bifurcation and around the left and right uterine arcade at the ovarian artery before the first segmental artery. (B) Novel RUPP model in mice. At 14.5 dpc, a midabdominal incision was made and a ligature was tied around the uterine arterial and venous branches of the vascular arcade at either ovarian vessels (O,O’) or uterine vessels (U,U’). (C) Experimental design.</p
Metabolites significantly altered (FDR q-value <0.05) and putatively annotated, for RUPP +ET compared to Sham +ET, RUPP +ET compared to RUPP Control, and RUPP Control compared to Sham Control.
No full textMetabolites significantly altered (FDR q-value <0.05) and putatively annotated, for RUPP +ET compared to Sham +ET, RUPP +ET compared to RUPP Control, and RUPP Control compared to Sham Control.</p
Universität, Lyzeum, Philosophisch-Theologische Hochschule Dillingen - Universität Augsburg
No full textUniversität, Lyzeum, Philosophisch-Theologische Hochschule Dillingen - Universität Augsburg : Ausstellung anläßl. d. Eröffnung d. Neubaus für d. Geisteswiss. d. Univ. Augsburg ; 27. 10. - 20. 11. 1977 / Rudolf Frankenberger ; Paul B. Rupp. - Augsburg, 1977. - 35 S
Dispelling the Myths Behind First-author Citation Counts
Get PDFWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
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