C. M. Elliot, H. Garcke, On the Cahn--Hilliard equation with degenerate mobility, SIAM J. Math. Anal. , 27 (2) (1996), 404 -- 423.  Home/Search   Document Not in Database   Summary   Related Articles

.... homogeneous boundary condition s 0 = 0 on fs 0g : 9) Existence and qualitative properties of weak solutions for the evolution problem given by (6) and (9) have been established by Bernis Friedman, by Grun, by Beretta, Bertsch Dal Passo, by Elliot Garcke, by Bertozzi Pugh, and others [7, 20, 4, 14, 8]. The reader will find a survey in [5] To us, it seems that the non zero contact angle case is qualitatively different and analytically harder to handle. Let us explain why. The relevant energy for the zero contact angle case is E(s) Z js 0 j 2 : 10) The functional (10) is a convex, ....

....will also give us (19) Proposition 1.3) Let us point out that the non negativity but not the strict positivity is build into our scheme. In this respect our approximation by a time discrete scheme consisting of variational problems differs considerably from the approximation used by [7, 20, 14, 4, 8] to prove existence for the zero contact angle situation. 7, 4, 8] regularize the equation by modifying the mobility and lift the initial data in such a way that the solutions are strictly positive. 20, 14] regularize the equation by modifying the mobility such that it is no longer ....

[Article contains additional citation context not shown here]

C. M. Elliot, H. Garcke, On the Cahn--Hilliard equation with degenerate mobility, SIAM J. Math. Anal. , 27 (2) (1996), 404 -- 423.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC