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math.PR2012★ 3 cited
Phase transition of a Heat equation with Robin's boundary conditions and exclusion process
Tertuliano Franco, Patricia Gonçalves, Adriana Neumann
For a heat equation with Robin's boundary conditions which depends on a parameter , we prove that its unique weak solution converges, when goes to zero or to infinit…
math.PR2010
Hydrodynamical behavior of symmetric exclusion with slow bonds
Tertuliano Franco, Patricia Gonçalves, Adriana Neumann
We consider the exclusion process in the one-dimensional discrete torus with points, where all the bonds have conductance one, except a finite number of slow bonds, with conduc…