Author: Mikhail FelʹdmanPublisher:
ISBN:
Category :
Languages : en
Pages : 90
Book Description
Partial Regularity of Heat Flows for Harmonic Maps Into Spheres
Author: Mikhail FelʹdmanPartial Regularity of Heat for Harmonic Maps Into Spheres
Author: Mikhail FeldmanThe Analysis of Harmonic Maps and Their Heat Flows
Author: Fanghua LinPublisher: World Scientific
ISBN: 9812779523
Category : Science
Languages : en
Pages : 280
Book Description
This book contains the proceedings of the Fourth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on August 8-11, 2007. The Meeting focused on experimental tests of these fundamental symmetries and on important theoretical issues, including scenarios for possible relativity violations. Experimental subjects covered include: astrophysical observations, clock-comparison measurements, cosmological birefringence, electromagnetic resonant cavities, gravitational tests, matter interferometry, muon behavior, neutrino oscillations, oscillations and decays of neutral mesons, particle-antiparticle comparisons, post-Newtonian gravity, space-based missions, spectroscopy of hydrogen and antihydrogen, and spin-polarized matter.Theoretical topics covered include: physical effects at the level of the Standard Model, General Relativity, and beyond; the possible origins and mechanisms for Lorentz and CPT violations; and associated issues in field theory, particle physics, gravity, and string theory. The contributors consist of the leading experts in this very active research field.
Partial Regularity for Harmonic Maps and Related Problems
Author: Roger MoserPublisher: World Scientific
ISBN: 9812560858
Category : Mathematics
Languages : en
Pages : 196
Book Description
The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem. The topics covered include harmonic maps and generalized harmonic maps; certain perturbed versions of the harmonic map equation; the harmonic map heat flow; and the Landau-Lifshitz (or Landau-Lifshitz-Gilbert) equation. Since the methods in regularity theory of harmonic maps are quite subtle, it is not immediately clear how they can be applied to certain problems that arise in applications. The book discusses in particular this question.
Existence and Partial Regularity Results for the Heat Flow for Harmonic Maps
Author: Chen YunmeiTwo-Dimensional Geometric Variational Problems
Author: Jürgen JostPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 256
Book Description
This monograph treats variational problems for mappings from a surface equipped with a conformal structure into Euclidean space or a Riemannian manifold. Presents a general theory of such variational problems, proving existence and regularity theorems with particular conceptual emphasis on the geometric aspects of the theory and thorough investigation of the connections with complex analysis. Among the topics covered are: Plateau's problem, the regularity theory of solutions, a variational approach for obtaining various conformal representation theorems, a general existence theorem for harmonic mappings, and a new approach to Teichmuller theory via harmonic maps.
Variational Problems in Riemannian Geometry
Author: Paul BairdPublisher: Birkhäuser
ISBN: 3034879687
Category : Mathematics
Languages : en
Pages : 158
Book Description
This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.
Bulletin of the American Mathematical Society
Author: Harmonic Maps, Conservation Laws and Moving Frames
Author: Frédéric HéleinPublisher: Cambridge University Press
ISBN: 9780521811606
Category : Mathematics
Languages : en
Pages : 298
Book Description
Publisher Description
Author: