Formal asymptotics for blowup in the Willmore flow - Eurandom

More documents

Recommendations

Info

$Continuous-time random walks, fractional calculus and ... - Eurandom$

Introduction Consider an elastic surface. The elastic energy of the surface is given by E = (α + βH 2 + γK)dµ, where the integral is over the surface Ω and ◮ H is the mean curvature, ◮ K is the Gaussian curvature. Ω
Introduction Consider an elastic surface. The elastic energy of the surface is given by E = (α + βH 2 + γK)dµ, where the integral is over the surface Ω and ◮ H is the mean curvature, ◮ K is the Gaussian curvature. The first term represents surface tension, while the second and third term model the bending energy. The equilibrium shape of certain cells can be found by minimising the bending energy. For example the red blood cell. Ω
Page 1: Formal asymptotics for blowup in th
Page 5 and 6: The Willmore flow I Since the integ
Page 7 and 8: The Willmore flow II The Willmore f
Page 9 and 10: The sphere Consider a sphere of rad
Page 11 and 12: The sphere and more ◮ The Willmor
Page 13 and 14: Problem Can the Willmore flow creat
Page 15 and 16: Numerical computations Numerical co
Page 17 and 18: Matched asymptotics On every region
Page 19 and 20: Results ◮ Matching gives (T − t

Formal asymptotics for blowup in the Willmore flow - Eurandom

Create successful ePaper yourself

Delete template?

Save as template?