A dissipative discretization scheme for a nonlocal phase segregation model

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 85, Issue 11, 2005, Pages 815-822

  Gajewski, Herbert ^a   Gärtner, Klaus ^a  

^a WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

Author keywords

Cahn Hilliard equation; Classical thermodynamics; Initial boundary value problem; Lyapunov function; Nonlocal phase segregation model; Stable and unstable steady states

Indexed keywords

EID: 27744598172     PISSN: 00442267     EISSN: None     Source Type: Journal    
DOI: 10.1002/zamm.200510233     Document Type: Article

References (12)

1. J.C. Cahn and J.E. Hilliard, J. Chem. Phys. 28, 258-267 (1958).
2. R. Eymard, J. Fuhrmann, and K. Gärtner, A Finite Volume Scheme for Nonlinear Parabolic Equations Derived from One-Dimensional Local Dirichlet Problems, WIAS Preprint 966, Berlin (2004).
3. H. Gajewski, Adv. Math. Sci. Appl. 12, 569-586 (2002).
4. H. Gajewski and K. Gärtner, Z. Angew. Math. Mech. 76, 247-264 (1996).
5. H. Gajewski and K. Gärtner, On a nonlocal model of image segmentation, WIAS Preprint 762, Berlin (2002),
6. to appear 69n Z. Angew. Math. Phys..
7. H. Gajewski and J. A. Griepentrog, A descent method for the free energy of multicomponent systems, WIAS Preprint 980, Berlin (2004),
8. to appear in Discrete Contin. Dyn. Syst..
9. H. Gajewski and K. Zacharias, J. Math. Anal. Appl. 286, 11-31 (2003).
10. G. Giacomin and J. L. Lebowitz, J. Stat. Phys. 87, 37-61 (1997).
11. J.A. Griepentrog, Banach Cent, Publ., 66, 153-164 (2004).
12. M. M. Wainberg and W.A. Trenogin, Theorie der Lösungsverzweigung bei nichtlinearen Gleichungen (Akademie-Verlag, Berlin, 1973).