scholarly journals A New Length Estimate for Curve Shortening Flow and Low Regularity Initial Data

2013 ◽  
Vol 23 (6) ◽  
pp. 1934-1961 ◽  
Author(s):  
Joseph Lauer
Keyword(s):  
Initial Data ◽  
Curve Shortening Flow ◽  
Low Regularity ◽  
Length Estimate ◽  
Curve Shortening

scholarly journals Well posedness for the Kawahara equation on the half-line

2020 ◽  
Author(s):  
Boling Guo ◽  
fengxia liu
Keyword(s):  
Initial Data ◽  
Local Existence ◽  
Half Line ◽  
Well Posedness ◽  
Kawahara Equation ◽  
Low Regularity ◽  
Regularity Properties

We study the low-regularity properties of the Kawahara equation on the half line. We obtain the local existence, uniqueness, and continuity of the solution. Moreover, We obtain that the nonlinear terms of the solution are smoother than the initial data.

scholarly journals Grid Peeling and the Affine Curve-Shortening Flow

2018 ◽  
Vol 29 (3) ◽  
pp. 306-316
Author(s):  
David Eppstein ◽  
Sariel Har-Peled ◽  
Gabriel Nivasch
Keyword(s):  
Curve Shortening Flow ◽  
Curve Shortening

Long-term Behavior of Curve Shortening Flow in $\mathbb{R}^3$

2020 ◽  
Vol 52 (2) ◽  
pp. 1221-1231
Author(s):  
Jiří Minarčík ◽  
Michal Beneš
Keyword(s):  
Curve Shortening Flow ◽  
Curve Shortening ◽  
Long Term Behavior

scholarly journals An Adaptive Moving Mesh Method for Forced Curve Shortening Flow

2019 ◽  
Vol 41 (2) ◽  
pp. A1170-A1200 ◽  
Author(s):  
J. A. Mackenzie ◽  
M. Nolan ◽  
C. F. Rowlatt ◽  
R. H. Insall
Keyword(s):  
Moving Mesh ◽  
Moving Mesh Method ◽  
Curve Shortening Flow ◽  
Mesh Method ◽  
Adaptive Moving Mesh Method ◽  
Curve Shortening
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