Numerical Simulation of Mixing Enhancement in a Single Screw Extruder by Different Internal Baffles
Macromolecular Theory and Simulations, EarlyView.Three rows of plate baffles and plow‐shaped baffles are employed to introduce chaos into the flow channel of a single screw extruder. Mixing is numerically characterized in terms of the evolution of tracer particles, Poincaré sections, shear rates, mixing index, distribution probability function of mixing index, and their integral functions.
Huiwen Yu +4 more
wiley +1 more source
Stability conditions for the mixing flow dynamical system in a perturbed version
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 This paper continues some recent work on dynamical systems models from mixing flow area. The 2d mixing flow model is taken into account, in a slightly perturbed form.
Adela Ionescu
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
Robust Tracking Control of the Euler-Lagrange System Based on Barrier Lyapunov Function and Self-Structuring Neural Networks. [PDF]
Comput Intell Neurosci, 2021 Wang Y, Ma H, Wu W.
europepmc +1 more source
A Mathematical Model for Allergic Reactions Induced by the Therapy of HIV
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new mathematical model for cell evolution in HIV is introduced and studied. Delay differential equations are used to capture the dynamics of immune system cells involved in allergies, as well as the evolution of HIV viruses, infected and uninfected CD4+$$ {}^{+} $$ cells, and cytotoxic T‐lymphocytes, under specific antiretroviral therapy ...
Rawan Abdullah +3 more
wiley +1 more source
Lyapunov function and global asymptotic stability for a new multiscale viral dynamics model incorporating the immune system response: Implemented upon HCV. [PDF]
PLoS One, 2021 Elkaranshawy HA, Ezzat HM, Ibrahim NN.
europepmc +1 more source
Lyapunov functions and topological stability
Journal of Differential Equations, 1980 This paper contains some results on topological stability (see [2, 31) that generalize those obtained in [2] much in the same way as Lyapunov’s direct theorem generalizes the asymptotic stability results of the hyperbolic case: if at a critical point, the linear part of a vector field has proper values with negative real parts, the point is ...
openaire +2 more sources
Attractors for an Energy‐Damped Viscoelastic Plate Equation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso +3 more
wiley +1 more source
Estimation of the Attraction Domain for the Quantum Systems Based on the Schrödinger Equation
AxiomsThis paper investigates a quantum system described by the Schrödinger equation, utilizing the concept of the quantum Lyapunov function. The Lyapunov function is chosen based on the mean value of a virtual mechanical quantity, where different values of P,
Hongli Yang +2 more
doaj +1 more source
Dynamical Analysis of an HIV Infection Model Including Quiescent Cells and Immune Response
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This research gives a thorough examination of a human immunodeficiency virus (HIV) infection model that includes quiescent cells and immune response dynamics in the host. The model, represented by a system of ordinary differential equations, captures the complex interaction between the host's immune response and viral infection.
Ibrahim Nali +3 more
wiley +1 more source