Modelling of Transient CO2/Water Flow in Wellbore considering Multiple Mass and Heat Transfer by Xinxin Zhao, Xiangzhen Yan, Xiaohui Sun, Qing Zhao, Hongwei Jiang, Yonghai Gao, Guang Yang

“…Based on mass conservation, momentum, and energy balance, the model employs a state-of-the-art equation of state and transport models to analyze the variations of multiphase flow behaviors and CO2 properties in a wellbore. …”
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Jupiter Evolutionary Models Incorporating Stably Stratified Regions by Roberto Tejada Arevalo, Ankan Sur, Yubo Su, Adam Burrows

“…This requires not only a mass density model, the major relevant byproduct of the Juno data, but a thermal model that is subject to interior heat transport, a realistic atmospheric flux boundary, a helium rain algorithm, and the latest equation of state. The result is a good fit to most major thermal, compositional, and structural constraints that still preserve a fuzzy core and that should inform future more detailed models of the current Jupiter in the context of its evolution from birth.…”
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The analysis of influence of uncertainty factors on mathematical modeling of the process of reverse expansion of ammonia in low-speed reciprocating compressor stage. Part 2 by D. Kh. Sadvakasov, G. I. Chernov, V. L. Yusha

“…The mathematical model is based on the equations of the first law of thermodynamics for a body of variable mass, the equation of state of a real gas, the Clapeyron–Clausius and Newton–Richman equations. …”
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Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? by João Gabriel Galli Gimenez, Dimiter Hadjimichef, Peter Otto Hess, Marcelo Netz-Marzola, César A. Zen Vasconcellos

“…The corresponding results for the equation of state and the mass-radius relation for neutron stars are in tune with recent observations with a maximum mass around 2.5 M_⊙ and radius close to 12 km. …”
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Exhibiting stable model of dark energy compact star with Tolman-VI solution under complexity free system by Hammad Nazar, Abdul Majeed, Ghulam Abbas, Asifa Ashraf, Phongpichit Channuie

“…Subsequently, we obtained the solutions of gravitational field equations for our proposed spacetime model by incorporating the linear dark energy equation of state. These results were applied to the astrophysical compact star candidate LMC X-4,  with $$M =1.04 M_\odot $$ M = 1.04 M ⊙ and $$R =8.4~\text {km}.$$ R = 8.4 km . …”
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The analysis of influence of uncertainty factors on mathematical modeling of process of reverse expansion of ammonia in low-speed reciprocating compressor stage. Part 1 by D. Kh. Sadvakasov, G. I. Chernov, V. L. Yusha

“…The mathematical model is based on the equations of the first law of thermodynamics for a body of variable mass, the equation of state of a real gas, the Clausius– Clausius and Newton–Richmann equations. …”
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Mathematical model of working processes of piston hybrid power machine of volumetric action with reduced fluctuations of gas pressure in discharge line by V. E. Scherba, A. V. Grigor’ev, A. V. Zanin

“…Based on the General laws of conservation of energy, mass, motion and the equation of state, a mathematical model for calculating the control volumes of the compressor section of constant and variable volumes is developed. …”
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The analysis of uncertainty factors influence on mathematical modeling of ammonia compression in wet vapor area by D. Kh. Sadvakasov, G. I. Chernov, V. L. Yusha

“…The mathematical model is based on the equation of the first law of thermodynamics for bodies with variable mass, the equation of state for real gases, the Clausius–Clapeyron and Newton–Richman equations. …”
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Effects of the crystallinity of fluoropolymer binders components in polymer-bonded explosives on shock Hugoniots: A computational study by Wen-yu Zhou, Hua-rong Li, Yong Han, Liu Liu, Hong Yang, Yang Zhou

“…Furthermore, the corresponding P–V curves were obtained through fitting using the Tait equation of state (EOS). Their calculated parameters, including zero-pressure bulk modulus (κo) and sound velocity (co), agreed well with experimental data. …”
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The analysis of the effect of high-speed ammonia low-speed compressor stage on the processes of reverse expansion and suction in wet steam region by D. Kh. Sadvakasov, G. I. Chernov, V. L. Yusha

“…The mathematical model is based on the equations of the first law of thermodynamics for a body of variable mass, the equation of state of a real gas, the Clapeyron–Clausius and Newton–Richman equations; various options for implementing the methodology for calculating the heat exchange process in the working chamber of the stage are also considered. …”
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Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity by R. Kumar, S. K. Maurya, A. Errehymy, A. Jaiswal, K. Myrzakulov, S. Sharma

“…The $$I-M$$ I - M curve shows greater sensitivity to the stiffness of the equation of state than the $$M-R$$ M - R curve, reinforcing our conclusion about the $$I-M$$ I - M framework’s responsiveness. …”
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Nanopore Confinement Effect on the Phase Behavior of CO2/Hydrocarbons in Tight Oil Reservoirs considering Capillary Pressure, Fluid-Wall Interaction, and Molecule Adsorption by Zhixue Zheng, Yuan Di, Yu-Shu Wu

“…The phase equilibrium calculation is modified by coupling the Peng-Robinson equation of state (PR-EOS) with capillary pressure, fluid-wall interaction, and molecule adsorption. …”
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Impact of Charge on Strange Compact Stars in Rastall Theory by Malick Sallah, Muhammad Sharif

“…These constants are determined using suitable matching conditions and observational data for compact objects which include Her X-1, SAX J 1808.4-3658, PSR J038-0842, LMC X-4 and SMC X-1. The equation of state offered by the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">MIT</mi></semantics></math></inline-formula> bag model for quark–gluon plasma is used to investigate the inner structure and other characteristics of these compact objects. …”
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GR-Athena++: General-relativistic Magnetohydrodynamics Simulations of Neutron Star Spacetimes by William Cook, Boris Daszuta, Jacob Fields, Peter Hammond, Simone Albanesi, Francesco Zappa, Sebastiano Bernuzzi, David Radice

“…It handles evolutions with a microphysical equation of state and black hole formation in the gravitational collapse of a rapidly rotating star. …”
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On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions by Bouchra Ben Amma, Said Melliani, Lalla Saadia Chadli

“…This paper addresses the issue of the existence and uniqueness of intuitionistic fuzzy solutions for some classes of partial functional differential equations with state-dependent delay in a new weighted complete metric space. …”
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On Dimension Extension of a Class of Iterative Equations by Juan Su, Xinhan Dong

“…This investigation aims at studying some special properties (convergence, polynomial preservation order, and orthogonal symmetry) of a class of r-dimension iterative equations, whose state variables are described by the following nonlinear iterative equation: ϕn(x)=T(ϕn−1(x)):=∑j=0mHjϕn−1(2x−k). …”
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Anisotropic Bulk Viscous String Cosmological Model in a Scalar-Tensor Theory of Gravitation by D. R. K. Reddy, Ch. Purnachandra Rao, T. Vidyasagar, R. Bhuvana Vijaya

“…Exact solution of the highly nonlinear field equations is obtained using the following plausible physical conditions: (i) scalar expansion of the space-time which is proportional to the shear scalar, (ii) the barotropic equations of state for pressure and energy density, and (iii) a special law of variation for Hubble’s parameter proposed by Berman (1983). …”
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Modelling Decision-Making Processes in the Management Support of the Manufacturing Element in the Logistic Supply Chain by Robert Bucki, Petr Suchánek

“…Control algorithms as well as manufacturing strategies are explained. The equations of state are introduced. The two-stage criterion lets us use the result data generated by the simulator of the production system as the initial data for further processing; however, the main goal remains to minimise the time of the course of production. …”
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Stability Analysis of a Class of Neural Networks with State-Dependent State Delay by Yue Chen, Jin-E Zhang

“…The differential equations with state-dependent delay are very important equations because they can describe some problems in the real world more accurately. …”
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