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- F Bai, C M Elliott, +7 authors Stuart
- 1994

The viscous Cahn-Hilliard equation arises as a singular limit of the phase-eld model of phase transitions. It contains both the Cahn-Hilliard and Allen-Cahn equations as particular limits. The equation is in gradient form and possesses a compact global attractor A, comprising heteroclinic orbits between equilibria. Two classes of computation are described.… (More)

- Dirk Wessels, Martin Potgeiter, +8 authors Robert Knell
- 2006

- Dana Angluin, A. Gardiner
- J. Comb. Theory, Ser. B
- 1981

We establish a geometrical framework for the study of imprimitive, G-symmetric graphs F by exploiting the fact that any G-partition B of the vertex set VT gives rise both to a quotient graph f B and to a tactical configuration D(B) induced on each block B e B. We also examine those cases in which D(B) is degenerate, and characterize the possible graphs f in… (More)

- A. Gardiner
- J. Comb. Theory, Ser. B
- 1978

- A. GARDINER
- 1999

A It is proved that a graph K has an embedding as a regular map on some closed surface if and only if its automorphism group contains a subgroup G which acts transitively on the oriented edges of K such that the stabiliser G e of every edge e is dihedral of order 4 and the stabiliser G v of each vertex is a dihedral group the cyclic subgroup of index… (More)

A family of arc-transitive graphs is studied. The vertices of these graphs are ordered pairs of distinct points from a finite projective line, and adjacency is defined in terms of the cross ratio. A uniform description of the graphs is given, their automorphism groups are determined, the problem of isomorphism between graphs in the family is solved, some… (More)

Russian constructions that involve the ambiguity of valencies are considered regarding the extent in which it can be successfully resolved by man or machine. The material includes two types of phenomena: 1) Russian counterparts of noun phrases like (a) the phases of sleep vs. (b) the phase of active sleep – in (a), sleep instantiates the subject valency of… (More)

- A. Gardiner
- Discrete Mathematics
- 1992

the loss of the illocutionary point. (= " Pragmatics today ") First I would like to thank Irène and Costantino for having invited me to participate to this round-table. The aim of this presentation is to offer a very brief survey, both conceptual and historical, of the developments of Pragmatics during the last sixty years (of course many things will be… (More)