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A Ramsey-type problem on right-angled triangles in space

✍ Scribed by Miklós Bóna; Géza Tóth


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
342 KB
Volume
150
Category
Article
ISSN
0012-365X

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✦ Synopsis


It is proved that for any 3-coloring of R 3 and for any right-angled triangle T, one can find a congruent copy of T, all of whose vertices are of the same color.


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Based on a Landau-type transformation, both continuous and discrete in time L 2 -Galerkin methods are applied to a single-phase Stefan-type problem in one space dimension. Optimal rates of convergence in L 2 , L ∞ , and H 1 -norms are derived and computational results are presented.