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APPML
2007
58views more  APPML 2007»
13 years 5 months ago
A class of exactly solvable free-boundary inhomogeneous porous medium flows
We describe a class of inhomogeneous two-dimensional porous medium flows, driven by a finite number of multipole sources; the free boundary dynamics can be parametrized by polyn...
Sam D. Howison, Igor Loutsenko, John R. Ockendon
APPML
2007
92views more  APPML 2007»
13 years 5 months ago
Topological grammars for data approximation
A method of topological grammars is proposed for multidimensional data approximation. For data with complex topology we define a principal cubic complex of low dimension and give...
Alexander N. Gorban, Neil R. Sumner, Andrei Yu. Zi...
APPML
2007
101views more  APPML 2007»
13 years 5 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
APPML
2007
154views more  APPML 2007»
13 years 5 months ago
Comparison of distances between measures
The problem of optimal transportation between a set of sources and a set of wells has become recently the object of new mathematical models generalizing the Monge-Kantorovich prob...
Jean-Michel Morel, Filippo Santambrogio