Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1229.35108
Pawłow, Irena; Zajaczkowski, Wojciech M.
A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures. (English)
[J] Commun. Pure Appl. Anal. 10, No. 6, 1823-1847 (2011). ISSN 1534-0392; ISSN 1553-5258/e

Summary: An initial-boundary-value problem for the sixth order Cahn-Hilliard type equation in 3-D is studied. The problem describes phase transition dynamics in ternary oil-water-surfactant systems. It is based on the Landau-Ginzburg theory proposed for such systems by G. Gompper et al. We prove that the problem under consideration is well posed in the sense that it admits a unique global smooth solution which depends continuously on the initial datum.

MSC 2000:: *35K52
35K60 (Nonlinear) BVP for (non)linear parabolic equations
35Q70
35L20 Second order hyperbolic equations, boundary value problems

Keywords: sixth order Cahn-Hilliard type equation; existence of strong global solutions; oil-water-surfactant systems

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]