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A maximum principle for the system
(Elsevier, 2016)
A maximum principle is established for minimal solutions to the system u −∇W(u) =0, with a potential Wvanishing at the boundary of a closed convex set C0⊂Rm, which is either C2smooth or coincides with a point {a}.
Structural damage assessment using linear approximation with maximum entropy and transmissibility data
(Elsevier, 2015)
Supervised learning algorithms have been proposed as a suitable alternative to model
updating methods in structural damage assessment, being Artificial Neural Networks the
most frequently used. Notwithstanding, the slow ...
Benchmark values of chemical potential and chemical hardness for atoms and atomic ions (including unstable anions) from the energies of isoelectronic series
(2016)
We present benchmark values for the electronic chemical potential and chemical hardness from reference data for ionization potentials and electron affinities. In cases where the energies needed to compute these quantities ...
Newtonian Dynamics from the Principle of Maximum Caliber
(Springer Science+Business Media, 2014)
The foundations of Statistical Mechanics can be recovered almost in their
entirety from the principle of maximum entropy. In this work we show that its
non-equilibrium generalization, the principle of maximum caliber ...
Existence and approximation for variational problems under uniform constraints on the gradient by power penalty
(SIAM Publications, 2015)
Variational problems under uniform quasi-convex constraints on the gradient are studied. Our
technique consists in approximating the original problem by a one-parameter family of smooth
unconstrained optimization problems. ...
Inverse M-matrix, a new characterization
(Elsevier, 2020)
In this article we present a new characterization of inverse M-matrices, inverse row diagonally dominant M-matrices and inverse row and column diagonally dominant M-matrices, based on the positivity of certain inner products.
An Algorithm for Maximizing the Biogas Production in a Chemostat
(Springer New York LLC, 2019)
In this work, we deal with the optimal control problem of maximizing biogas production in a chemostat. The dilution rate is the controlled variable, and we study the problem over a fixed finite horizon, for positive initial ...
Optimal Feedback Synthesis and Minimal Time Function for the Bioremediation of Water Resources with Two Patches
(SIAM, 2016)
This paper studies the bioremediation, in minimal time, of a water resource or reservoir using a single continuous bioreactor. The bioreactor is connected to two pumps, at different locations in the reservoir, that pump ...
Catch-to-stock dependence: The case of small pelagic fishery with bounded harvesting effort
(Rocky Mountain Mathematics Consortium, 2019)
Biologic characteristics of schooling fish species explain why the rates of harvesting in pelagic fisheries are not proportional to the existent stock size and may exhibit no variation between the periods of fish abundance ...
A novel impact identification algorithm based on a linear approximation with maximum entropy
(2016)
This article presents a novel impact identification algorithm that uses a linear approximation handled by a statistical inference model based on the maximum-entropy principle, termed linear approximation with maximum entropy ...