scholarly journals On regularity properties of a surface growth model

2021 ◽  
pp. 1-24
Author(s):  
Jan Burczak ◽  
Wojciech S. Ożański ◽  
Gregory Seregin
Keyword(s):  
Weak Solution ◽  
Growth Model ◽  
Surface Growth ◽  
Suitable Weak Solution ◽  
Scale Invariant ◽  
Local Smoothness ◽  
Higher Integrability ◽  
Regularity Properties ◽  
Smoothness Of Solutions

We show local higher integrability of derivative of a suitable weak solution to the surface growth model, provided a scale-invariant quantity is locally bounded. If additionally our scale-invariant quantity is small, we prove local smoothness of solutions.

scholarly journals Partial Regularity for a Surface Growth Model

2019 ◽  
Vol 51 (1) ◽  
pp. 228-255 ◽  
Author(s):  
Wojciech S. Ożański ◽  
James C. Robinson
Keyword(s):  
Growth Model ◽  
Partial Regularity ◽  
Surface Growth

scholarly journals Scale invariant dynamics of surface growth

1999 ◽  
Vol 59 (6) ◽  
pp. 6460-6475 ◽  
Author(s):  
C. Castellano ◽  
M. Marsili ◽  
M. A. Muñoz ◽  
L. Pietronero
Keyword(s):  
Surface Growth ◽  
Scale Invariant

Exact steady states to a nonlinear surface growth model

2011 ◽  
Vol 83 (1) ◽  
pp. 29-37
Author(s):  
M. Guedda ◽  
M. Benlahsen ◽  
C. Misbah
Keyword(s):  
Growth Model ◽  
Steady States ◽  
Surface Growth ◽  
Nonlinear Surface
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