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Process control as a source of integrator problems for a differential equations course in bioengineering
(Institute of Electrical and Electronics Engineers, 2013-02)
Bioengineering is a multidisciplinary program. With its foundations in basic science, Bioengineering applies different technological principles in order to solve problems in the health area. Mathematics, thanks to its ...
Dynamics of partially thermalized solutions of the Burgers equation
(American Physical Society, 2018-01)
The spectrally truncated, or finite dimensional, versions of several equations of inviscid flows display transient solutions which match their viscous counterparts, but which eventually lead to thermalized states in which ...
Transport of interacting particles in a chain of cavities: Description through a modified Fick-Jacobs equation
(American Physical Society, 2015-01)
We study the transport process of interacting Brownian particles in a tube of varying cross section. To describe this process we introduce a modified Fick-Jacobs equation, considering particles that interact through a ...
Opinion fitness and convergence to consensus in homogeneous and heterogeneous populations
(American Institute of Mathematical Sciences, 2021-06)
In this work we study the formation of consensus in homogeneous and heterogeneous populations, and the effect of attractiveness or fitness of the opinions. We derive the corresponding kinetic equations, analyze the long ...
Comments on Wave-Like Propagation with Binary Disorder
(Springer, 2021-02)
In a recent paper (J Stat Phys 179:729–747, 2020) time evolution of the telegrapher’s equation subjected to a random velocity field was studied in the context of the effective medium approximation. In addition, the solution ...
Near-field asymptotics for the porous medium equation in exterior domains: The critical two-dimensional case
(Society for Industrial and Applied Mathematics, 2018-09)
We consider the porous medium equation in an exterior two-dimensional domain that excludes a hole, with zero Dirichlet data on its boundary. Gilding and Goncerzewicz proved in 2007 that in the far-field scale, which is the ...
Existence and Multiplicity of Periodic Solutions for Dynamic Equations with Delay and singular φ-laplacian of Relativistic Type
(arXiv.org, 2020-05)
We study the existence and multiplicity of periodic solutions for singular ϕ-laplacian equations with delay on time scales. We prove the existence of multiple solutions using topological methods based on the LeraySchauder ...
Modelling of phase equilibria for associating mixtures using an equation of state
(Academic Press Ltd - Elsevier Science Ltd, 2004-12)
In the present work, the group contribution with association equation of state (GCA-EoS) is extended to represent phase equilibria in mixtures containing acids, esters, and ketones, with water, alcohols, and any number of ...
Stefan problems for the diffusion-convection equation with temperature-dependent thermal coefficients
(Pergamon-Elsevier Science Ltd, 2021-09)
Different one-phase Stefan problems for a semi-infinite slab are considered, involving a moving phase change material as well as temperature dependent thermal coefficients. Existence of at least one similarity solution is ...
A heat equation with memory: large-time behavior
(Academic Press Inc Elsevier Science, 2021-06)
We study the large-time behavior in all Lp norms of solutions to a heat equation with a Caputo α-time derivative posed in RN (0 < α < 1). These are known as subdiffusion equations. The initial data are assumed to be ...