Turbulence: Numerical Analysis, Modelling and Simulation

The problem of accurate and reliable simulation of turbulent flows is a central and intractable challenge that crosses disciplinary boundaries. As the needs for accuracy increase and the applications expand beyond flows where extensive data is available for calibration, the importance of a sound mathematical foundation that addresses the needs of practical computing increases. This Special Issue is directed at this crossroads of rigorous numerical analysis, the physics of turbulence and the practical needs of turbulent flow simulations. It seeks papers providing a broad understanding of the status of the problem considered and open problems that comprise further steps

Geometrodynamics: Spacetime or Space ?

This thesis concerns the split of Einstein's field equations (EFE's) with respect to nowhere null hypersurfaces. Areas covered include A) the foundations of relativity, deriving geometrodynamics from relational first principles and showing that this form accommodates a sufficient set of fundamental matter fields to be classically realistic, alternative theories of gravity that arise from similar use of conformal mathematics. B) GR Initial value problem (IVP) methods, the badness of timelike splits of the EFE's and studying braneworlds under guidance from GR IVP and Cauchy problem methods.Comment: Thesis, University of London, Examined in June by Prof Chris Isham and Prof James Vickers. 226 pages including 21 figure

Existence of Positive Solution for the Eighth-Order Boundary Value Problem Using Classical Version of Leray–Schauder Alternative Fixed Point Theorem

In this work, we investigate the existence of solutions for the particular type of the eighth-order boundary value problem. We prove our results using classical version of Leray–Schauder nonlinear alternative fixed point theorem. Also we produce a few examples to illustrate our results

Simulation Modeling

The book presents some recent specialized works of a theoretical and practical nature in the field of simulation modeling, which is being addressed to a large number of specialists, mathematicians, doctors, engineers, economists, professors, and students. The book comprises 11 chapters that promote modern mathematical algorithms and simulation modeling techniques, in practical applications, in the following thematic areas: mathematics, biomedicine, systems of systems, materials science and engineering, energy systems, and economics. This project presents scientific papers and applications that emphasize the capabilities of simulation modeling methods, helping readers to understand the phenomena that take place in the real world, the conditions of their development, and their effects, at a high scientific and technical level. The authors have published work examples and case studies that resulted from their researches in the field. The readers get new solutions and answers to questions related to the emerging applications of simulation modeling and their advantages

Proper actions, nonlinearity and homotopy theory

In dieser Arbeit wird die Erweiterung der Methoden der äquivarianten stabilen Homotopietheorie zu breiteren Kontexten untersucht. Die klassische Theorie voraussetzt Kompaktheit oder sogar Endlichkeit an der wirkenden Gruppe. Äquivariante Homotopie und Kohomotopie werden durch Spektren und analytische Methoden für eigentliche G-CW Komplexe konstruiert. Die Übereinstimmung mit der klassischen Definition, sowie zu einer von Lück 2005 veröffentlichten Konstruktion mittels Vektorraumbündeln wird bewiesen. Die Segal Vermutung wird in zwei Versionen verallgemeinert (für familien endlicher Untergruppen in diskreten Gruppen, bzw. für halb-einfache Liegruppen deren maximale kompakte Untergruppe keine Fundamentaldarstellung quaternionischen Typs aufweist). Eine bivariante , äquivariante homotopietheorie für C*-Algebren wird auch definiert