Dynamics of Partial Differential Equations
Volume 6 (2009)
Regularity and blow up in a surface growth model
Pages: 227 – 252
he paper contains several regularity results and blow-up criteria for a surface growth model, which seems to have similar properties to the 3D Navier-Stokes, although it is a scalar equation. As a starting point we focus on energy methods and Lyapunov-functionals.
surface growth, critical space, uniqueness, regularity, blow up, Leray estimates, Lyapunov function
2010 Mathematics Subject Classification
35B33, 35B45, 35B65, 35K55, 35Qxx, 60H15