scholarly journals Blow-up rate of type II and the braid group theory

2011 ◽  
Vol 363 (03) ◽  
pp. 1419-1419 ◽  
Author(s):  
Noriko Mizoguchi
Keyword(s):  
Group Theory ◽  
Braid Group ◽  
Blow Up ◽  
Type Ii ◽  
Blow Up Rate

scholarly journals Type II singularities on complete non-compact Yamabe flow

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Beomjun Choi ◽  
Panagiota Daskalopoulos ◽  
John King
Keyword(s):  
Blow Up ◽  
Type Ii ◽  
Conformally Flat ◽  
Time Singularity ◽  
Yamabe Flow ◽  
Blowing Up ◽  
Rotationally Symmetric ◽  
Blow Up Rate ◽  
Finite Time Singularity ◽  
First Time

AbstractThis work concerns with the existence and detailed asymptotic analysis of type II singularities for solutions to complete non-compact conformally flat Yamabe flow with cylindrical behavior at infinity. We provide the specific blow-up rate of the maximum curvature and show that the solution converges, after blowing-up around the curvature maximum points, to a rotationally symmetric steady soliton. It is the first time that the steady soliton is shown to be a finite time singularity model of the Yamabe flow.

scholarly journals LOCAL FRACTIONAL SUPERSYMMETRY FOR ALTERNATIVE STATISTICS

1996 ◽  
Vol 11 (11) ◽  
pp. 899-913 ◽  
Author(s):  
N. FLEURY ◽  
M. RAUSCH DE TRAUBENBERG
Keyword(s):  
Group Theory ◽  
Braid Group ◽  
Equation Of Motion ◽  
Coset Space ◽  
One Dimensional ◽  
The One

A group theory justification of one-dimensional fractional supersymmetry is proposed using an analog of a coset space, just like the one introduced in 1-D supersymmetry. This theory is then gauged to obtain a local fractional supersymmetry, i.e. a fractional supergravity which is then quantized à la Dirac to obtain an equation of motion for a particle which is in a representation of the braid group and should describe alternative statistics. A formulation invariant under general reparametrization is given by means of a curved fractional superline.

scholarly journals On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Yongsheng Mi ◽  
Chunlai Mu ◽  
Weian Tao
Keyword(s):  
Cauchy Problem ◽  
Blow Up ◽  
Strong Solutions ◽  
Well Posedness ◽  
Holm Equation ◽  
Two Component ◽  
The Cauchy Problem ◽  
Blow Up Rate

We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system.

scholarly journals Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation

2012 ◽  
Vol 5 (4) ◽  
pp. 777-829 ◽  
Author(s):  
Matthieu Hillairet ◽  
Pierre Raphaël
Keyword(s):  
Wave Equation ◽  
Blow Up ◽  
Type Ii
Sign in / Sign up

Export Citation Format

Share Document