We study random perturbations of a reaction–diffusion equation with a unique stable equilibrium and solutions that blow-up in finite time. If the strength of the perturbation ε>0 is small and the initial data is in the ...

We construct finite time blow-up solutions to the 2-dimensional harmonic map flow into the sphere S-2, u(t) = Delta u + vertical bar del u vertical bar(2)u in Omega x (0, T) u = phi on partial derivative Omega x (0, ...

This text aims at discussing the offense on the rights of us, in the last years, in Brazil, which has to do with the neoliberal reduction of the achievements made by the working class. This is the result of reflections I ...

Consider a system of independent random walks in the discrete torus with creation-annihilation of particles and possible explosion of the total number of particles in finite time. Rescaling space and rates for diffusion/ ...

We investigate the blow-up of a weighted projective plane at a general point. We provide criteria and algorithms for testing if the result is a Mori dream surface andwe compute the Cox ring in several cases. Moreover ...

In this note we study linear systems on the blow-up of (P-1)(n) at r points in very general position. We prove that the fibers of the projections (P-1)(n) -> (P-1)(s), 1 <= s <= n - 1 can give contribution to the speciality ...