Unstable sixth-order thin film equation: II. Global similarity patterns

Nonlinearity ◽  
2007 ◽  
Vol 20 (8) ◽  
pp. 1843-1881 ◽  
Author(s):  
J D Evans ◽  
V A Galaktionov ◽  
J R King
Keyword(s):  
Thin Film ◽  
Sixth Order ◽  
Thin Film Equation ◽  
Global Similarity

Unstable sixth-order thin film equation: I. Blow-up similarity solutions

Nonlinearity ◽  
2007 ◽  
Vol 20 (8) ◽  
pp. 1799-1841 ◽  
Author(s):  
J D Evans ◽  
V A Galaktionov ◽  
J R King
Keyword(s):  
Thin Film ◽  
Blow Up ◽  
Similarity Solutions ◽  
Sixth Order ◽  
Thin Film Equation

scholarly journals Group properties and invariant solutions of a sixth-order thin film equation in viscous fluid

2013 ◽  
Vol 54 (1) ◽  
pp. 013510 ◽  
Author(s):  
Ding-jiang Huang ◽  
Qin-min Yang ◽  
Shuigeng Zhou
Keyword(s):  
Thin Film ◽  
Viscous Fluid ◽  
Sixth Order ◽  
Invariant Solutions ◽  
Thin Film Equation

scholarly journals New exact solutions of sixth-order thin-film equation

2014 ◽  
Vol 26 (1) ◽  
pp. 75-78 ◽  
Author(s):  
Wafaa M. Taha ◽  
M.S.M. Noorani ◽  
I. Hashim
Keyword(s):  
Thin Film ◽  
Exact Solutions ◽  
Sixth Order ◽  
New Exact Solutions ◽  
Thin Film Equation

scholarly journals QUALITATIVE PROPERTIES FOR A SIXTH–ORDER THIN FILM EQUATION

2010 ◽  
Vol 15 (4) ◽  
pp. 457-471 ◽  
Author(s):  
Changchun Liu
Keyword(s):  
Thin Film ◽  
Weak Solutions ◽  
Approximate Solutions ◽  
Sixth Order ◽  
Classical Solutions ◽  
Qualitative Properties ◽  
Existence Of Weak Solutions ◽  
Uniform Estimates ◽  
Thin Film Equation ◽  
Silicon Based

In this article, the author studies the qualitative properties of weak solutions for a sixth‐order thin film equation, which arises in the industrial application of the isolation oxidation of silicon. Based on the Schauder type estimates, we establish the global existence of classical solutions for regularized problems. After establishing some necessary uniform estimates on the approximate solutions, we prove the existence of weak solutions. The nonnegativity and the expansion of the support of solutions are also discussed.

Sign in / Sign up

Export Citation Format

Share Document