299 citations
- Universidad de la República de UruguayUY38 papers
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5 papers · 1 filter
Fujita exponent and blow-up rate for a mixed local and nonlocal heat equation
L. Del Pezzo, R. Ferreira
In this paper we consider the blow-up problem for a mixed local-nonlocal diffusion operator, \[ u_t=aΔu -b(-Δ)^s u+u^p. \] We show that the Fujita exponent is given by the nonlocal…
A short perspective on a posteriori error control and adaptive discretizations
Roland Becker, Stéphane P. A. Bordas, Franz Chouly +1
Error control by means of a posteriori error estimators or indica-tors and adaptive discretizations, such as adaptive mesh refinement, have emerged in the late seventies. Since the…
The need to implement FAIR principles in biomolecular simulations
Rommie Amaro, Johan Åqvist, Ivet Bahar +125
This letter illustrates the opinion of the molecular dynamics (MD) community on the need to adopt a new FAIR paradigm for the use of molecular simulations. It highlights the necess…
Two sided long-time optimization singular control problems for Lévy processes and Dynkin's games
Ernesto Mordecki, Facundo Oliú
A relationship between two sided discounted singular control problems and Dynkin games is established for real valued Lévy processes. In addition, the solution of a two-sided ergod…
Quantum panprotopsychism and the combination problem
Rodolfo Gambini, Jorge Pullin
We will argue that a phenomenological analysis of consciousness, similar to that of Husserl, shows that the effects of phenomenal qualities shape our perception of the world. It al…