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Mathematical Modeling - Astrophysics Data System

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Last Updated: 19 September 2022

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Mathematical Models and Methods for Planet Earth

Several scientific endeavors have been devoted to Earth science in 2013. The current volume features a sampling of the highly topical topics addressed at the workshop "Mathematical Models and Methods for Earth," which was held in Roma in May 2013. In both these fields, mathematical research has a vital role as a tool for the analysis of specific problems and as a component of multidisciplinary research.

Source link: https://ui.adsabs.harvard.edu/abs/2014mmmp.book.....C/abstract


Mathematical modelling of the takeoff dynamics of a sailplane with a tailwheel-type landing gear, taking into account ground effect

During the takeoff phase, the goal of the current research was to develop and evaluate equations describing the motion of a sailplane. A new numerical model is developed, based on the classic longitudinal dynamics model, taking into account the specifics of sailplane construction, which includes a main monowheel and a tailwheel. In the prototyping stage of a sailplane, the described procedure is used.

Source link: https://ui.adsabs.harvard.edu/abs/2022AIPC.2505h0006A/abstract


Mathematical modeling of COVID-19 epidemic with effect of social distancing, face masks and quarantine

We present a numerical framework for the transmission of the COVID-19 disease in this paper, with a major focus on social distancing, face masks, and quarantine. Also, the findings show that the most efficient tactic in combating COVID-19 is to be concerned about the consistent use of face masks, rises of social distancing, and quarantine with high enough compliance.

Source link: https://ui.adsabs.harvard.edu/abs/2022AIPC.2529b0027N/abstract


Development of mathematical model calculations of thermal processes in welding with steel sheet preheating

One of the most important tools for guaranteeing the integrity of welded joints by welding high-strength steels at low temperatures is a devel-opment of an efficient mathematical model of thermal processes.

Source link: https://ui.adsabs.harvard.edu/abs/2022AIPC.2528b0031S/abstract


Some analytical and numerical results for the mass-inertial characteristics of a human body of Bulgarian females via mathematical modelling

Based on anthropometric results for 2855 Bulgarian females aged between 30-40 years old as part of the Bulgarian population's representative anthropological examination of the Bulgarian population, specific implementation of the model is suggested. We provide analytical expressions and estimate numerically the mass-inertial characteristics of all of the body's segments: their mass, center of mass, volume, and the key moments of inertia using the standardized model.

Source link: https://ui.adsabs.harvard.edu/abs/2022AIPC.2505h0021N/abstract


A mathematical model for the auxetic response of liquid crystal elastomers

We develop a mathematical model that expands on the surprising nonlinear mechanical response seen in recent experiments on nematic liquid crystal elastomers. We show that Ogden strain-energy functions are particularly suitable for modelling nematic elastomers because of their geometric simplicity and their concise presentation in terms of the principal stretches, which have a kinematic interpretation. This essay is part of the Ogden model of rubber mechanics: fifty years of nonlinear elasticity: Five decades of influence on nonlinear elasticity: Part of the theme "The Ogden model of rubber mechanics: five years of influence on nonlinear elasticity. '.

Source link: https://ui.adsabs.harvard.edu/abs/2022RSPTA.38010326M/abstract


Oscillation properties of the mathematical model of hydro turbine with a long penstock - part i

With a long penstock, we investigated the oscillation characteristics of the hydro turbine control system in this series. Different approximations of the hyperbolic function in the plan description have been investigated. The main model equations are of the following: a0y+a2y+a3y+b1r+b3r+b3r+b3r+b3r+b1r+b1r+b1r+b1y+b3r+b3r+b3r+b1r+b3r+b3r+b3r+b3y+b1r+b1r+b2y+b1r+ a2y+b1y+b3y&a1y&a1y+ a2y+ a2y+a2y+ a2y+b1y+b3r+b3r+b1y+ a2y+b1y+b1y+ b1r+b1y+b1y+b1r+b2r+b1y+ a2r+b1r+b1r+b1r+b1y+b1y+b1r+b1r+b1r+b1r+b1y+b1y We note that y is the closed system output, and this is the unique unknown function, and that it is the unique unknown function, while r is the system's input signal.

Source link: https://ui.adsabs.harvard.edu/abs/2022AIPC.2505h0020P/abstract


Stability of a Mathematical Model with Piecewise Constant Arguments for Tumor-Immune Interaction Under Drug Therapy

This paper explores a mathematical model for the interaction between tumor cells and Cytotoxic T lymphocytes under drug therapy. In addition, it is also known that the system without any treatment will undergo Neimark-u2013Sacker bifurcation, and that there may be a turbulent region of tumor growth rate where the system displays chaotic behavior. Also, for a set amount of tumor growth rate in the chaotic region, a threshold value [Formula: see text] is estimated of the treatment parameter [Formula: see text].

Source link: https://ui.adsabs.harvard.edu/abs/2019IJBC...2950009F/abstract


The mathematical model of quantum dots pair orientation under laser radiation field

The orientation of particles in an alternating field can be related to particular relaxation times, which depend on the viscosity and temperature of the medium, as well as the sample's geometric structure. This paper develops an analytical representation of the process of establishing nanoparticle pairs orientations taking into account the friction force, thermal movement, and the orienting laser field. In the field of moderate laser radiation, a time for establishing orientational equilibrium was estimated, according to a statistical orientation diagram.

Source link: https://ui.adsabs.harvard.edu/abs/2022CoOpt..46..555P/abstract


Modeling of glacial lake outburst in the Shakhdara river basin using the complex of mathematical models

[Harrison et al. , 2018] — Climate change causes mountain glaciers to melt in Central Asia and the subsequent emergence of glacial lakes [Harrison et al. , 2018]. Using mathematical modeling is one of the ways to determine the risks involved with glacial lakes outburst. Using detailed field reports, the necessary conditions and modeling of potential glacier lake outburst were considered for the Bodomdara River valley. According to the route survey findings, Lake Bodomdara Upper is a glacial one, which, in turn, may lead to a cascade outburst flood. Lake Bodomdara Lower's bowl is relatively stable, but without cascade flooding at anomalously high temperatures, snowmelt, and heavy rainfall, it is likely. Two potential scenarios were considered: I - the outburst of the Lake Bodomdara Lower and II - the cascade outburst of the Lakes Bodomdara. The outburst flood hydrograph for the scenario I was expecting using Yu. B. 's lake breakthrough model. According to the simulation results at the top of the Bodomdara river discharge under scenario I, the maximum flow would be 111 m3/s, under scenario II - 525 m3/s. 1. Volume : The Cryosphere, 2018, vol. 42. Climate change and the global pattern of moraine-dammed glacial lake outburst floods // The Cryosphere, 2018. O'Brien J. , Julien P. , Fullerton W. , Two-dimensional water flood modelling, mudflow simulation // Journal of Hydraulic Engineering, ASCE, 1993, vol. 2, 1992. Vol. 107 of Natural Hazards The experimental remains in the Chemolgan River basin in the Chemolgan River basin.

Source link: https://ui.adsabs.harvard.edu/abs/2022EGUGA..24.6228Y/abstract

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions