Publication

Full blow-up range for co-rotaional wave maps to surfaces of revolution

2014
Journal Articles

Abstract

We construct blow-up solutions of the energy critical wave map equation on $\mathbb{R}^{2+1}\to \mathcal N$ with polynomial blow-up rate ( $t^{-1-\nu}$ for blow-up at $t=0$ ) in the case when $\mathcal N$ is a surface of revolution. Here we extend the blow-up range found by Carstea ( $\nu>\frac 12$ ) based on the work by Krieger, Schlag and Tataru to $\nu>0$ . This work relies on and generalizes the recent result of Krieger and the author where the target manifold is chosen as the standard sphere.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

2014
Journal Articles

Abstract

Official source

Related concepts (32)

Refusal of work

Refusal of work is behavior in which a person refuses regular employment. As actual behavior, with or without a political or philosophical program, it has been practiced by various subcultures and individuals. It is frequently engaged in by those who critique the concept of work, and it has a long history. Radical political positions have openly advocated refusal of work. From within Marxism it has been advocated by Paul Lafargue and the Italian workerist/autonomists (e.g. Antonio Negri, Mario Tronti), the French ultra-left (e.

Work–life interface

Work–life interface is the intersection of work and personal life. There are many aspects of one's personal life that can intersect with work, including family, leisure, and health. Work–life interface is bidirectional; for instance, work can interfere with private life, and private life can interfere with work. This interface can be adverse in nature (e.g., work–life conflict) or can be beneficial (e.g., work–life enrichment) in nature. Recent research has shown that the work–life interface has become more boundary-less, especially for technology-enabled workers.

N-sphere

In mathematics, an n-sphere or a hypersphere is a topological space that is homeomorphic to a standard n-sphere, which is the set of points in (n + 1)-dimensional Euclidean space that are situated at a constant distance r from a fixed point, called the center. It is the generalization of an ordinary sphere in the ordinary three-dimensional space. The "radius" of a sphere is the constant distance of its points to the center. When the sphere has unit radius, it is usual to call it the unit n-sphere or simply the n-sphere for brevity.

Related publications (16)

Full blow-up range for co-rotaional wave maps to surfaces of revolution

Chat with Graph Search

Geometric building blocks of effective field theory amplitudes

Vertical measurements of aerosols in the high Arctic during the winter-spring transition using a tethered balloon

Analysis of onset of dislocation nucleation during nanoindentation and nanoscratching of InP