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Nonlinear analysis on electrical properties in a bended composite piezoelectric semiconductor beam
In this paper, the interactions between the transverse loads and the electrical field quantities are investigated based on the nonlinear constitutive...
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Using an Improved Output Feedback MPC Approach for Develo** a Haptic Virtual Training System
Haptic training simulators generally consist of three major components, namely a human operator, a haptic interface, and a virtual environment....
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Cohesive Model of the Process Zone Near the Tip of a Crack Originating from a Corner Point of the Broken Interface
Within the framework of a cohesive model, we determine the parameters of the process zone in the binding material at the tip of an interface crack...
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A Cahn–Hilliard Model Based on Microconcentrations
Our aim in this paper is to study a Cahn–Hilliard type system based on microconcentrations. We prove the existence and uniqueness of solutions to...
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Interchanging Space and Time in Nonlinear Optics Modeling and Dispersion Management Models
Interchanging the role of space and time is widely used in nonlinear optics for modeling the evolution of light pulses in glass fibers. A...
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Optimal Distributed Control for a Viscous Non-local Tumour Growth Model
In this paper, we address an optimal distributed control problem for a non-local model of phase-field type, describing the evolution of tumour cells...
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Identification of model uncertainty via optimal design of experiments applied to a mechanical press
In engineering applications almost all processes are described with the help of models. Especially forming machines heavily rely on mathematical...
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Historiography of Mathematics from the Mathematician’s Point of View
Mathematicians used to be highly invested in the study of the history of their own field, but their voice in historiographical discussions has...
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Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer
Mathematical modeling sheds light on cancer research. In addition to reducing animal-based experiments, mathematical modeling is able to provide...
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On Certain Applications of the Hyperbolic Heat Transfer Equation and Methods for Its Solution
When creating new technological processes based on the use of high-intensity energy flows, it is necessary to take into account the finite speed of...
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Sub-epidemic Model Forecasts During the First Wave of the COVID-19 Pandemic in the USA and European Hotspots
Mathematical models have been widely used to understand the dynamics of the ongoing coronavirus disease 2019 (COVID-19) pandemic as well as to...
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Homogenization based topology optimization of fluid-pressure loaded structures using the Biot–Darcy Model
Homogenization method is applied to topology optimization of a weakly coupled two physics problem, where structures are made of periodically...
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Fractional Diffusion Model, Anomalous Statistics and Random Process
The phenomenon of spontaneous migration of particles (e.g. atoms, molecules or molecules).
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Flocking and Thermodynamical Cucker-Smale Model
We present a thermodynamically consistent particle (TCP) model motivated by the theory of multi-temperature mixture of fluids in the spatially...
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Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive map**
The inclusion of cognitive processes, such as perception, learning and memory, are inevitable in mechanistic animal movement modelling. Cognition is...
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On fluorescence imaging: The diffusion equation model and recovery of the absorption coefficient of fluorophores
To quantify fluorescence imaging of biological tissues, we need to solve an inverse problem for the coupled radiative transfer equations which...
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The Algorithmic-Device View of Informal Rigorous Mathematical Proof
A new approach to informal rigorous mathematical proof is offered. To this end, algorithmic devices are characterized and their central role in...
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Learning orientations: a discrete geometry model
In the mammalian brain, many neuronal ensembles are involved in representing spatial structure of the environment. In particular, there exist cells...
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SI Epidemic Model Applied to COVID-19 Data in Mainland China
Estimating the average transmission rate is one of the most crucial challenges in the epidemiology of communicable diseases. This rate conditions the...
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Investigation of solid tumor progression with account of proliferation/migration dichotomy via Darwinian mathematical model
A new continuous spatially-distributed model of solid tumor growth and progression is presented. The model explicitly accounts for...
