Harmonic Map Heat Flow with Free Boundary
Title | Harmonic Map Heat Flow with Free Boundary PDF eBook |
Author | Li Ma |
Publisher | |
Pages | 21 |
Release | 1990 |
Genre | |
ISBN |
Harmonic Map Heat Flow Woth Free Boundary
Title | Harmonic Map Heat Flow Woth Free Boundary PDF eBook |
Author | Ma Li |
Publisher | |
Pages | 21 |
Release | 1990 |
Genre | |
ISBN |
The Analysis of Harmonic Maps and Their Heat Flows
Title | The Analysis of Harmonic Maps and Their Heat Flows PDF eBook |
Author | Fanghua Lin |
Publisher | World Scientific |
Pages | 280 |
Release | 2008 |
Genre | Science |
ISBN | 9812779523 |
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.
Heat Flows and Harmonic Maps with a Free Boundary
Title | Heat Flows and Harmonic Maps with a Free Boundary PDF eBook |
Author | J. Li |
Publisher | |
Pages | 11 |
Release | 1993 |
Genre | |
ISBN |
The Analysis of Harmonic Maps and Their Heat Flows
Title | The Analysis of Harmonic Maps and Their Heat Flows PDF eBook |
Author | Fanghua Lin |
Publisher | World Scientific |
Pages | 280 |
Release | 2008 |
Genre | Mathematics |
ISBN | 9812779531 |
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.
Self-shrinkers of Mean Curvature Flow and Harmonic Map Heat Flow with Rough Boundary Data
Title | Self-shrinkers of Mean Curvature Flow and Harmonic Map Heat Flow with Rough Boundary Data PDF eBook |
Author | Lu Wang (Ph. D.) |
Publisher | |
Pages | 63 |
Release | 2011 |
Genre | |
ISBN |
In this thesis, first, joint with Longzhi Lin, we establish estimates for the harmonic map heat flow from the unit circle into a closed manifold, and use it to construct sweepouts with the following good property: each curve in the tightened sweepout, whose energy is close to the maximal energy of curves in the sweepout, is itself close to a closed geodesic. Second, we prove the uniqueness for energy decreasing weak solutions of the harmonic map heat flow from the unit open disk into a closed manifold, given any H1 initial data and boundary data, which is the restriction of the initial data on the boundary of the disk. Previously, under an additional assumption on boundary regularity, this uniqueness result was obtained by Rivière (when the target manifold is the round sphere and the energy of initial data is small) and Freire (for general target manifolds). The point of our uniqueness result is that no boundary regularity assumption is needed. Also, we prove the exponential convergence of the harmonic map heat flow, assuming that the energy is small at all times. Third, we prove that smooth self-shrinkers in the Euclidean space, that are entire graphs, are hyperplanes. This generalizes an earlier result by Ecker and Huisken: no polynomial growth assumption at infinity is needed.
The Harmonic Map Heat Flow from Surfaces
Title | The Harmonic Map Heat Flow from Surfaces PDF eBook |
Author | Peter Topping |
Publisher | |
Pages | |
Release | 1996 |
Genre | |
ISBN |