Stability of Stationary Interfaces with Contact Angle in a Generalized Mean Curvature Flow

1996 ◽  
Vol 118 (3) ◽  
pp. 653-687 ◽  
Author(s):  
M.-H Sato ◽  
E Yanagida ◽  
S.-I Ei
Keyword(s):  
Contact Angle ◽  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Generalized Mean Curvature ◽  
Generalized Mean

Translating spacelike graphs by mean curvature flow with prescribed contact angle

2014 ◽  
Vol 103 (6) ◽  
pp. 499-508 ◽  
Author(s):  
Shanze Gao ◽  
Guanghan Li ◽  
Chuanxi Wu
Keyword(s):  
Contact Angle ◽  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow

A Class of Parabolic Equations Driven by the Mean Curvature Flow

2018 ◽  
Vol 62 (1) ◽  
pp. 135-163
Author(s):  
Anderson L. A. de Araujo ◽  
Marcelo Montenegro
Keyword(s):  
Parabolic Equations ◽  
Mean Curvature ◽  
Approximation Scheme ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Dirichlet Condition ◽  
Parabolic Problems ◽  
Cylindrically Symmetric ◽  
Generalized Mean Curvature ◽  
The Mean

AbstractWe study a class of parabolic equations which can be viewed as a generalized mean curvature flow acting on cylindrically symmetric surfaces with a Dirichlet condition on the boundary. We prove the existence of a unique solution by means of an approximation scheme. We also develop the theory of asymptotic stability for solutions of general parabolic problems.

Sign in / Sign up

Export Citation Format

Share Document