The maximal time is characterised by a curvature singularity at either boundary. This result was known previously only for smooth speeds. Such questions include long time existence of globally constrained curvature flows, formation of singularities (where the curvature becomes unbounded) in curvature flows and extension of classical flow solutions beyond singularities using a 'surgery' procedure. Our first results are a concentration-compactness alternative and interior estimates for the flow. In this paper we study the steepest descent L2-gradient flow of the functional W¿1,¿2 , which is the the sum of the Willmore energy, ¿1-weighted surface area, and ¿2-weighted enclosed volume, for surfaces immersed in R3. In this project we used calculus of variations to find mathematical energies that would support the regular helical structures commonly seen in proteins. لدى Andrew4 وظيفة مدرجة على الملف الشخصي عرض الملف الشخصي الكامل على LinkedIn وتعرف على زملاء Andrew والوظائف في الشركات المماثلة. 1 Job ist im Profil von James McCoy aufgelistet. We also introduced an evolving surface model that could take into account height dependence from varying topography and fuel properties. A future goal is to find within these energies some which permit less regular protein backbone curves, as also observed in nature. عرض ملف Thomas McCoy الشخصي على LinkedIn، أكبر شبكة للمحترفين في العالم. James has 10 jobs listed on their profile. James McCoy completed his PhD in pure mathematics in 2002 under the supervision of Klaus Ecker at Monash University. ABSTRACT: We consider the motion of convex surfaces with normal speed given by arbitrary strictly monotone, homogeneous degree one functions of the principal curvatures (with no further smoothness assumptions). © 2013 Springer-Verlag Berlin Heidelberg. This is a long-term ongoing project covering one of my main research areas: geometrically-inspired higher even order elliptic and parabolic partial differential equations, many eminating from geometric problems in the calculus of variations. We use classical calculus of variations and consider mathematical energies dependent on the c... [more]. View James McCoy’s profile on LinkedIn, the world's largest professional community. View James McCoy’s profile on LinkedIn, the world's largest professional community. The title of his thesis was "The surface area preserving mean curvature flow". The title of his thesis was "The surface area preserving mean curvature flow". Sehen Sie sich das Profil von James McCoy auf LinkedIn an, dem weltweit größten beruflichen Netzwerk. © 2013, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg. This coincides with the Helfrich functional with zero 'spontaneous curvature'. Jim Mccoy | Ireland | Founder & Managing Director at Complete Outsource Solutions/Smart Traveller 365 | 320 connections | See Jim's complete profile on Linkedin and connect We use classical calculus of variations and consider mathematical energies dependent on the curvature and torsion of the protein backbone curve. We prove that such processes deform arbitrary uniformly convex initial surfaces to points in finite time, with spherical limiting shape. James has refereed articles for over 30 international journals, see his record at publons.com. In this project we modelled fire line merging using flow of planar curves by their curvature, a suitable model for uniform fuel over flat terrain (eg grass fires). There are 800+ professionals named "James Mccoy", who use LinkedIn to exchange information, ideas, and opportunities. Click on a grant title below to expand the full details for that specific grant. James McCoy completed his PhD in pure mathematics in 2002 under the supervision of Klaus Ecker at Monash University. School of Mathematical and Physical Sciences. This coincides with the Helfrich functional with zero 'spontaneous curvature'. James MCCOY, PostDoc Position of University of British Columbia - Vancouver, Vancouver (UBC) | Read 19 publications | Contact James MCCOY Much ongoing work and collaborations continue. View James Mc Coy’s professional profile on LinkedIn. We have considered various scenarios of static (elliptic) and evolving (parabolic) curves, surfaces and hypersurfaces, with or without boundaries. I have worked on second order fully nonlinear curvature flow and associated elliptic problems since I was a PhD student. لدى Thomas4 وظيفة مدرجة على الملف الشخصي عرض الملف الشخصي الكامل على LinkedIn وتعرف على زملاء Thomas والوظائف في الشركات المماثلة. James McCoy | London, Greater London, United Kingdom | Project Manager | 500+ connections | See James's complete profile on Linkedin and connect I have considered with collaborators nonsmooth speeds and characterised singular behaviour. I have supervised PhD students in this field and postdoctoral fellows who have gone on to be successful academic mathematicians in their own rights or found lucrative positions working in industry. In July that year he moved to the University of Wollongong, combining a lecturing position with his ARC research grant. James McCoy | Bridgeville, Pennsylvania | Court Reporter at Allegheny County | 54 connections | See James's complete profile on Linkedin and connect In this project we used calculus of variations to model the joining of various carbon nanostructures. © Springer Science+Business Media Dordrecht 2015. Sehen Sie sich auf LinkedIn das vollständige Profil an. McCoy JA, 'A Bernstein property of solutions to a class of prescribed affine mean curvature equations', ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 32 147-165 (2007), McCoy JA, 'BERNSTEIN PROPERTIES OF SOLUTIONS TO SOME HIGHER-ORDER EQUATIONS', DIFFERENTIAL AND INTEGRAL EQUATIONS, 20 1153-1166 (2007), McCoy J, Wheeler G, Williams G, 'Lifespan theorem for constrained surface diffusion flows', MATHEMATISCHE ZEITSCHRIFT, 269 147-178 (2011), McCoy J, Wheeler G, 'A classification theorem for Helfrich surfaces', Mathematische Annalen, 357 1485-1508 (2013), Edwards M, Gerhardt-Bourke A, McCoy J, Wheeler G, Wheeler V-M, 'The Shrinking Figure Eight and Other Solitons for the Curve Diffusion Flow', JOURNAL OF ELASTICITY, 119 191-211 (2015), Mccoy J, Wheeler G, 'Finite time singularities for the locally constrained willmore flow of surfaces', Communications in Analysis and Geometry, 24 843-886 (2016), McCoy J, Parkins S, Wheeler G, 'The geometric triharmonic heat flow of immersed surfaces near spheres', NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 161 44-86 (2017), McCoy JA, Wheeler G, Wu Y, 'A sixth order curvature flow of plane curves with boundary conditions', Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger s Book, Springer, Unknown (2018), McCoy J, Wheeler G, Wu Y, 'A sixth order curvature flow with boundary conditions', Tohuko Mathematical Journal, 72 379-393 (2020), McCoy J, Wheeler G, 'A rigidity theorem for ideal surfaces with flat boundary', Annals of Global Analysis and Geometry, 57 (2020) [C1].
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