Results 31 to 40 of about 252,679 (281)

Graph-type biharmonic surfaces in R3

open access: yesSelecciones Matemáticas, 2020
In this work, we study biharmonic surfaces that are parameterized by biharmonic coordinate functions. We study a class of biharmonic surfaces called graph-type biharmonic surfaces. Also, we define a class of surfaces associated to two harmonic functions (
Carlos M. C. Riveros   +2 more
doaj   +1 more source

Biharmonic maps on V-manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of biharmonic maps on V-manifolds.
Yuan-Jen Chiang, Hongan Sun
doaj   +1 more source

On a system of multi-component Ginzburg-Landau vortices

open access: yesAdvances in Nonlinear Analysis, 2023
We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
doaj   +1 more source

The rectified n-harmonic map flow with applications to homotopy classes

open access: yes, 2017
We introduce a rectified $n$-harmonic map flow from an n-dimensional closed Riemannian manifold to another closed Riemannian manifold. We prove existence of a global solution, which is regular except for a finite number of points, of the rectified n ...
Hong, Min-Chun
core   +1 more source

First-Order Twistor Lifts

open access: yesJournal of Inequalities and Applications, 2010
The use of twistor methods in the study of Jacobi fields has proved quite fruitful, leading to a series of results. L. Lemaire and J. C. Wood proved several properties of Jacobi fields along harmonic maps from the two-sphere to the complex projective ...
Bruno Ascenso Simões
doaj   +2 more sources

Some results of the f-biharmonic maps and applications

open access: yesArab Journal of Mathematical Sciences, 2018
In this paper, we give some properties of the f-biharmonic maps, in the particular case represented by conformal maps between equidimensional manifolds.
Djelloul Djebbouri, Seddik Ouakkas
doaj   +1 more source

Uniformity of harmonic map heat flow at infinite time

open access: yes, 2012
We show an energy convexity along any harmonic map heat flow with small initial energy and fixed boundary data on the unit 2-disk. In particular, this gives an affirmative answer to a question raised by W.
Brezis   +9 more
core   +1 more source

Classification Theorems of Ruled Surfaces in Minkowski Three-Space

open access: yesMathematics, 2018
By generalizing the notion of the pointwise 1-type Gauss map, the generalized 1-type Gauss map has been recently introduced. Without any assumption, we classified all possible ruled surfaces with the generalized 1-type Gauss map in a 3-dimensional ...
Miekyung Choi, Young Ho Kim
doaj   +1 more source

Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system

open access: yes, 2007
We describe the asymptotic behavior as time goes to infinity of solutions of the 2 dimensional corotational wave map system and of solutions to the 4 dimensional, radially symmetric Yang-Mills equation, in the critical energy space, with data of energy ...
C.E. Kenig   +10 more
core   +3 more sources

A cluster analysis of harmony in the McGill Billboard dataset

open access: yesEmpirical Musicology Review, 2020
We set out to perform a cluster analysis of harmonic structures (specifically, chord-to-chord transitions) in the McGill Billboard dataset, to determine whether there is evidence of multiple harmonic grammars and practices in the corpus, and if so, what ...
Kris Shaffer   +8 more
doaj   +1 more source

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