In this article, we are interested in studying and analyzing the heat conduction phenomenon a multi-layered solid. We consider physical assumptions that dual-phase-lag model governs flow on each solid layer. introduce one-dimensional mathematical given by an initial interface-boundary value problem, where unknown is temperature. More precisely, described following four features: equation at inside layer, condition for temperature temporal derivative of temperature, flux boundary conditions,...

In this paper, we introduce the functional framework and necessary conditions for well-posedness of an inverse problem arising from mathematical modeling disease transmission. The direct is given by initial boundary value a reaction-diffusion system. consists in determination recovery transmission rates observed measurement solution at final time. unknowns are coefficients reaction term. We formulate as optimization appropriate cost functional. Then, existence solutions deduced proving...

In this work we develop a study of positive periodic solutions for mathematical model the dynamics computer virus propagation. We propose generalized compartment SEIR-KS type, since consider that population is partitioned in five classes: susceptible (S); exposed (E); infected (I); recovered (R); and kill signals (K), assume rates propagation are time dependent functions. Then, introduce sufficient condition existence model. The proof main results based on priori estimates system application...

In this note, we prove the existence and uniqueness of weak solutions for boundary value problem modelling stationary case bioconvective flow problem. The model is a system four equations: nonlinear Stokes equation, incompressibility two transport equations. unknowns are velocity fluid, pressure local concentration microorganisms, oxygen concentration. We derive some appropriate priori estimates solution, which implies existence, by application Gossez theorem, standard methodology comparison...

<abstract><p>This article is concerned with the determination of diffusion matrix in reaction-diffusion mathematical model arising from spread an epidemic. The that we consider a susceptible-infected-susceptible diffusion, which was deduced by assuming following hypotheses: total population can be partitioned into susceptible and infected individuals; healthy individual becomes through contact individual; there no immunity, individuals become again; epidemics arises spatially...

This paper presents the calibration study of a two - dimensional mathematical model for problem of urban air pollution. It is mainly assumed that pollution aected by wind convection, difusion and chemical reactions pollutants. Consequently, convection-diusion-reaction equation is obtained as direct problem. In inverse problem, determination diusion analyzed, assuming one has an observation pollutants in nite time. To solve it numerically the volume method used, least squares function...

In this note we prove the existence and uniqueness of weak solutions for boundary value problem modelling stationary case bioconvective flow introduced by Tuval et. al. (2005, {\it PNAS} 102, 2277--2282). We derive some appropriate a priori estimates solution, which implies existence, application Gossez theorem, standard methodology comparison two arbitrary solutions.

In this paper we introduce the functional framework and necessary conditions for well-posedness of an inverse problem arising in mathematical modeling disease transmission. The direct is given by initial boundary value a reaction diffusion system. consists determination recovery transmission rates from observed measurement solution at end time. unknowns are coefficients term. We formulate as optimization appropriate cost functional. Then, existence solutions deduced proving minimizer...