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Journal articles on the topic 'Solution model'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Braidford, Paul. "A MODEL SOLUTION?" Regions Magazine 263, no. 1 (2006): 4–5. http://dx.doi.org/10.1080/780346864.

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2

Hillert, Mats. "A modified regular-solution model for terminal solutions." Metallurgical Transactions A 17, no. 10 (1986): 1878–79. http://dx.doi.org/10.1007/bf02817285.

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3

Han, Yucen, Jianyuan Yin, Yucheng Hu, Apala Majumdar, and Lei Zhang. "Solution landscapes of the simplified Ericksen–Leslie model and its comparisonwith the reduced Landau–deGennes model." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2253 (2021): 20210458. http://dx.doi.org/10.1098/rspa.2021.0458.

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We investigate the solution landscapes of a simplified Ericksen–Leslie (sEL) vector model for nematic liquid crystals, confined in a two-dimensional square domain with tangent boundary conditions. An efficient numerical algorithm is developed to construct the solution landscapes by utilizing the symmetry properties of the model and the domain. Since the sEL model and the reduced Landau–de Gennes (rLdG) models can be viewed as Ginzburg–Landau functionals, we systematically compute the solution landscapes of the sEL model, for different domain sizes, and compare them with the solution landscapes of the corresponding rLdG model. There are many similarities, including the stable diagonal and rotated states, bifurcation behaviours and sub-solution landscapes with low-index saddle solutions. Significant disparities also exist between the two models. The sEL vector model exhibits the stable solution C ± with interior defects, high-index ‘fake defect’ solutions, novel tessellating solutions and certain types of distinctive dynamical pathways. The solution landscape approach provides a comprehensive and efficient way for model comparison and is applicable to a wide range of mathematical models in physics.

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4

Siddiqui, Dr Mujibul Hasan. "Memory Model of Learning: An Effective Solution for Stable Memory." Indian Journal of Applied Research 3, no. 3 (2011): 98–100. http://dx.doi.org/10.15373/2249555x/mar2013/32.

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5

Acedo, L., Gilberto González-Parra, and Abraham J. Arenas. "Modal series solution for an epidemic model." Physica A: Statistical Mechanics and its Applications 389, no. 5 (2010): 1151–57. http://dx.doi.org/10.1016/j.physa.2009.11.003.

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6

Komatsu, H., M. Irisa, and T. Kodama. "Ratchet model in solution." Seibutsu Butsuri 43, supplement (2003): S140. http://dx.doi.org/10.2142/biophys.43.s140_1.

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7

Zhu, Hongtao, Hongbing Chang, Li Wang, and T. Y. Hsu (Xu Zuyao). "Modified general solution model for interstitial solid solution." Calphad 25, no. 3 (2001): 409–17. http://dx.doi.org/10.1016/s0364-5916(01)00060-8.

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8

Roy, Samit, and Yong Wang. "Analytical Solution for Cohesive Layer Model and Model Verification." Polymers and Polymer Composites 13, no. 8 (2005): 741–52. http://dx.doi.org/10.1177/096739110501300801.

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The objective of this work was to find an analytical solution to the stresses in the cohesive damage zone and the damage zone length at the interface between a fibre reinforced polymer (FRP) plate and concrete substrate. Analytical solutions have been derived to predict the stress in the cohesive layer when considering the deformation in the stiff substrate. A two-dimensional cohesive layer constitutive model with a prescribed traction-separation (stress-strain) law was constructed using a modified Williams' approach, and analytical solutions derived for the elastic zone as well as the damage zone. Detailed benchmark comparisons of analytical results with finite element predictions for a double cantilever beam specimen were performed for model verification, and issues related to cohesive layer thickness were investigated. It was observed that the assumption of a rigid substrate in analytical modelling can lead to inaccurate analytical prediction of the cohesive damage zone length.

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9

Adnan, Zifirdaus. "‘Ideal-Problem-Solution’ (IPS) Model." Australian Review of Applied Linguistics 34, no. 1 (2011): 75–103. http://dx.doi.org/10.1075/aral.34.1.05adn.

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Research article introductions (RAIs) play a significant role in gaining publication, and therefore have been studied by many applied linguists. Research into RAIs published in Indonesia has begun to be developed (Adnan, 2009; Mirahayuni, 2001; Safnil, 2000), and generally conclude that Indonesian Humanities RAIs were structured differently from English RAIs. However, as these are early studies, their findings still awaits scrutiny, and little information on Indonesian RAIs especially in Education has been published. Several models describing discourse structure of research article introductions have been proposed, but they have been problematic when applied to analyse RAIs. This paper reports an examination of the applicability of two important models, the CARS (Swales, 1990) and the PJP model claimed to be an Indonesian model of Humanities RAIs (Safnil, 2000), using a selection of 21 Indonesian research article Introductions (RAIs) written by Indonesian academics in Education. It concentrates on the following questions: To what extent do these models fit the data and why? The examination found that none of the RAIs fit the CARS, and only less than half fit the PJP model for various reasons. Therefore a new model is proposed. This model fits most of the data. The paper claims that apart from national concerns, discourse patterns of RAIs are also affected by writing guides provided by the discipline.

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10

Svoboda, Martin. "Numerical Verification of Model Multibody Systems." Applied Mechanics and Materials 486 (December 2013): 239–44. http://dx.doi.org/10.4028/www.scientific.net/amm.486.239.

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The article deals with the influence of manufacturing and geometric asymmetry on the vertical oscillation of symmetric and asymmetric systems consisting of rigid bodies linked flexibly with different kinematic excitation. The solution was performed using experimental and numerical analysis (with application of oscillation of vehicles and flexibly coupled machines). Numerical solutions were carried out by finite element method (FEM) on a simple model and experimental solutions on laboratory model of a mechanical system. The aim of the work was to create a numerical model and its solution using the finite element method. The experimental solution was used to verify the numerical model.

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11

M.S. Nyachwaya, Nelson, Johana K. Sigey, Jeconiah A. Okelo, and James M. Okwoyo. "Finite Difference Solution of Seepage Equation: A Mathematical Model for Fluid Flow." SIJ Transactions on Computer Science Engineering & its Applications (CSEA) 02, no. 03 (2014): 16–24. http://dx.doi.org/10.9756/sijcsea/v2i3/0204290101.

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12

Kang, Juntao, Xueqiang Zhang, Hongyou Cao, and Shiqiang Qin. "Research on Multi-Alternatives Problem of Finite Element Model Updating Based on IAFSA and Kriging Model." Sensors 20, no. 15 (2020): 4274. http://dx.doi.org/10.3390/s20154274.

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Due to insufficient test data, insufficient constraint equations and uncertain objective function, the local optimal solution and the global optimal solution of the objective function in finite element model updating may represent the actual parameters of the structure. Based on this, this paper proposes an improved artificial fish school algorithm. By combining the niche technology with the artificial fish school algorithm, the improved algorithm can systematically find multiple global optimal solutions and local optimal solutions of the objective function. Aiming at the difficulty of determining the niche radius, an adaptive niche radius mechanism is proposed. The improved algorithm is used to study the multi-alternatives problem of finite element model updating after verifying its feasibility through numerical simulation analysis. In the case of benchmark framework model updating, it is confirmed that multi-alternative problems exist and the global optimal solution of the objective function does not necessarily represent the true parameters of the structure. In case 2, the improved algorithm combined with the Kriging model is applied to the model updating of a cable-stayed footbridge, and 15 sets of solutions are obtained, in which the error objective function values of the measured and theoretical values of the bridge modes are close but the solutions are completely different. Combining with the actual bridge condition and reanalysis technology, the author takes the suboptimal solution 2 as the most representative solution of the bridge parameters, which reduces the possibility of misjudgment of structural parameters.

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13

Xu, Liang, and Sha Xu. "Analytic Solution to a Virus Infection Model." Applied Mechanics and Materials 367 (August 2013): 503–7. http://dx.doi.org/10.4028/www.scientific.net/amm.367.503.

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A functional analytic method was developed by E.K.Ifantis in 1987 to prove that certain non-linear ordinary differential equations (ODEs) have a unique power series solution which converges absolutely in a specified disc of the complex plane. In this paper, we first applied this method to certain systems of two non-linear ordinary differential equations. We proved that the power series solutions can be determined by some recurrence relations which depend on the parameters of the equations and the initial conditions. Then, we found a method to extend the range of the converge bound. At last, we applied the functional analytic method to the resistant virus infection model to obtain a power series solution and compared our solution with the numerical solution obtained by the Runge-Kutta method using the software Matlab (Version 7.0.1).

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14

Alazba, A. A. "Explicit Volume Balance Model Solution." Journal of Irrigation and Drainage Engineering 125, no. 5 (1999): 273–79. http://dx.doi.org/10.1061/(asce)0733-9437(1999)125:5(273).

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15

Valiantzas, John D., and A. A. Alazba. "Explicit Volume Balance Model Solution." Journal of Irrigation and Drainage Engineering 127, no. 1 (2001): 60–61. http://dx.doi.org/10.1061/(asce)0733-9437(2001)127:1(60).

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16

Broomhead, David. "Model solution to chaotic confusion." Physics World 7, no. 2 (1994): 46–47. http://dx.doi.org/10.1088/2058-7058/7/2/36.

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17

IZMAILOV, ALEXANDER F., and ALEXANDER R. KESSEL. "SOLUTION OF THE BCS MODEL." International Journal of Modern Physics A 04, no. 18 (1989): 4991–5002. http://dx.doi.org/10.1142/s0217751x89002120.

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The exact calculation of the reduced BCS model quantum partition function in the region of temperatures T > Tc was carried out by the path integration method. The partition function demonstrates the critical behavior at some temperature Tc. It turns out that this temperature is larger than the critical temperature T'c obtained in the traditional theories which are valid in the temperature region T < T'c.

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18

Yaroshchuk, Andrij E. "Solution-diffusion-imperfection model revised." Journal of Membrane Science 101, no. 1-2 (1995): 83–87. http://dx.doi.org/10.1016/0376-7388(94)00277-6.

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19

Saakyan, D. B. "Solution of dilute Derrida model." Theoretical and Mathematical Physics 97, no. 1 (1993): 1199–205. http://dx.doi.org/10.1007/bf01014813.

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20

Saakyan, D. B. "Solution of quantum Derrida model." Theoretical and Mathematical Physics 94, no. 1 (1993): 123–25. http://dx.doi.org/10.1007/bf01017004.

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21

Kozlov, G. G. "Correlated Lloyd model: Exact solution." Theoretical and Mathematical Physics 181, no. 2 (2014): 1396–404. http://dx.doi.org/10.1007/s11232-014-0220-8.

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22

Olijnyk, Liliana, Volodymyr Starchevski, and Volodymyr Kyslenko. "Mathematical model of rheological behavior of silica suspension in hydroxypropyl methyl cellulose solution." Chemistry & Chemical Technology 1, no. 3 (2007): 121–25. http://dx.doi.org/10.23939/chcht01.03.121.

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A mathematical model of rheological behavior of silica suspension in hydroxypropyl methyl cellulose solution was investigated. The model takes into account the friction between particle aggregates, particle aggregates and macromolecules in solution and between macromolecules in solution as well as the formation of well ordered layers contained solid particles, adsorbed macromolecules and macromolecules in the holes between particles in aggregates at the large shear rates. Suggested model allows to describe the rheological behavior of silica suspensions in water solution of hydroxypropyl methyl cellulose.

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23

Cheng, Feng Lin. "Analytical Solution for the Subsurface Flow Wetland Model." Applied Mechanics and Materials 198-199 (September 2012): 894–98. http://dx.doi.org/10.4028/www.scientific.net/amm.198-199.894.

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In this paper, the subsurface flow wetland sewage treatment mathematical model is studied. the analytical solution is obtained by using the Laplace transform technique for non-steady subsurface flow wetland model and the diffusion characteristics for some parameters used in the model are analyzed. Then the solution for the model which is added by the source is obtained on two boundary conditions by the adomian decomposition method. The examples are given compare the approximate solution and the exact solutions.

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24

WANG, XIAOHUAN, and GUANGYING LV. "ENTIRE SOLUTIONS FOR LOTKA–VOLTERRA COMPETITION-DIFFUSION MODEL." International Journal of Biomathematics 06, no. 04 (2013): 1350020. http://dx.doi.org/10.1142/s1793524513500204.

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This paper is concerned with the existence of entire solutions of Lotka–Volterra competition-diffusion model. Using the comparing argument and sub-super solutions method, we obtain the existence of entire solutions which behave as two wave fronts coming from the both sides of x-axis, where an entire solution is meant by a classical solution defined for all space and time variables.

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25

Kim, J. W., K. J. Bai, R. C. Ertekin, and W. C. Webster. "A Strongly-Nonlinear Model for Water Waves in Water of Variable Depth—The Irrotational Green-Naghdi Model." Journal of Offshore Mechanics and Arctic Engineering 125, no. 1 (2003): 25–32. http://dx.doi.org/10.1115/1.1537722.

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Recently, the authors have derived a new approximate model for the nonlinear water waves, the Irrotational Green-Naghdi (IGN) model. In this paper, we first derive the IGN equations applicable to variable water depth, and then perform numerical tests to show whether and how fast the solution of the IGN model converges to the true solution as its level increases. The first example given is the steady solution of progressive waves of permanent form, which includes the small-amplitude sinusoidal wave, the solitary wave and the nonlinear Stokes wave. The second example is the run-up of a solitary wave on a vertical wall. The last example is the shoaling of a wave train over a sloping beach. In each numerical test, the self-convergence of the IGN model is shown first. Then the converged solution is compared to the known analytic solutions and/or solutions of other approximate models such as the KdV and the Boussinesq equations.

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26

Hlaváček, Ivan. "Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements." Applications of Mathematics 41, no. 1 (1996): 57–78. http://dx.doi.org/10.21136/am.1996.134313.

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27

Papakonstantinidis, Leonidas A. "Corporate Social Responsibility in Bargaining Solution by the “Win-Win-Win Papakonstantinidis Model”." INTERNATIONAL JOURNAL OF INNOVATION AND ECONOMIC DEVELOPMENT 5, no. 3 (2019): 31–57. http://dx.doi.org/10.18775/ijied.1849-7551-7020.2015.53.2004.

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This work deals with the Corporate Social Responsibility (CSR) as an application of the “win-win-win papakonstantinidis model”-the social wellbeing, bargaining (A-B-Community) Model which leads in a more justice more equality, more faith in the state and law. Starting from Ramzi Souleiman (2013) findings, on the “economic-harmony” equilibrium, this study goes one step more, in a synthesis between market(NE) and ethical economics(Economic Harmony equilibrium), so called the “equi-harmony” –the end of the sensitization process The suggested model’s theoretical background is analyzed as the main “interaction’s methodological tool” focusing on Utility Function

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28

Storbacka, Kaj. "A solution business model: Capabilities and management practices for integrated solutions." Industrial Marketing Management 40, no. 5 (2011): 699–711. http://dx.doi.org/10.1016/j.indmarman.2011.05.003.

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29

Cheng, Hongjun, and Shiwei Li. "A Deposition Model: Riemann Problem and Flux-Function Limits of Solutions." Abstract and Applied Analysis 2018 (2018): 1–14. http://dx.doi.org/10.1155/2018/8569435.

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The Riemann solutions of a deposition model are shown. A singular flux-function limit of the obtained Riemann solutions is considered. As a result, it is shown that the Riemann solutions of the deposition model just converge to the Riemann solutions of the limit system, the scalar conservation law with a linear flux function involving discontinuous coefficient. Especially, for some initial data, the two-shock Riemann solution of the deposition model tends to the delta-shock Riemann solution of the limit system; by contrast, for some initial data, the two-rarefaction-wave Riemann solution of the deposition model tends to the vacuum Riemann solution of the limit system. Some numerical results exhibiting the formation processes of delta-shocks and vacuum states are presented.

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30

Leng, W., L. Ju, M. Gunzburger, and S. Price. "Manufactured solutions and the numerical verification of isothermal, nonlinear, three-dimensional Stokes ice-sheet models." Cryosphere Discussions 6, no. 4 (2012): 2689–714. http://dx.doi.org/10.5194/tcd-6-2689-2012.

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Abstract. The technique of manufactured solutions is used for verification of computational models in many fields. In this paper we construct manufactured solutions for models of three-dimensional, isothermal, nonlinear Stokes flow in glaciers and ice sheets. The solution construction procedure starts with kinematic boundary conditions and is mainly based on the solution of a first-order partial differential equation for the ice velocity that satisfies the incompressibility condition. The manufactured solutions depend on the geometry of the ice sheet and other model parameters. Initial conditions are taken from the periodic geometry of a standard problem of the ISMIP-HOM benchmark tests and altered through the manufactured solution procedure to generate an analytic solution for the time-dependent flow problem. We then use this manufactured solution to verify a parallel, high-order accurate, finite element Stokes ice-sheet model. Results from the computational model show excellent agreement with the manufactured analytic solutions.

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31

Turner, R. James. "Solution of carrier-type transport models: General solution for an arbitrarily complex rapid equilibrium model." Journal of Membrane Biology 88, no. 1 (1985): 77–83. http://dx.doi.org/10.1007/bf01871215.

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32

Karaś, Sławomir. "Solution of Extended Kelvin-Voigt Model." Budownictwo i Architektura 10, no. 1 (2012): 119–30. http://dx.doi.org/10.35784/bud-arch.2235.

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The great usefulness of uniaxial visco-elastic models, especially in highway engineering pavement theory, composites and other civil engineering disciplines were the reason for undertaking the trial to find a complete solution for the generalization of Kelvin-Voigt body. Here the elements of higher rank than velocities of strain and stress are considered. Carson’s transformation simultaneously with residuum theorem are used for solutions derivation. The introduced procedure can be also used for more complicated differential or integral forms of constitutive equations, as well as for non homogenous initial conditions. The Burgers’ body is examined. Finally, as an example the vibration of simple beam is shown.

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33

SUSAWA, Hiromoto. "Discussion on Another Solution for Continuum Model in Solid Solution Growth from Liquid Solution." Proceedings of The Computational Mechanics Conference 2014.27 (2014): 125–27. http://dx.doi.org/10.1299/jsmecmd.2014.27.125.

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34

Chen, Li, Ashish Macwan, and Simon Li. "Model-based Rapid Redesign Using Decomposition Patterns." Journal of Mechanical Design 129, no. 3 (2006): 283–94. http://dx.doi.org/10.1115/1.2406099.

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This paper presents a pattern-based decomposition methodology for rapid redesign to support design customization in agile manufacturing of evolutionary products. The methodology has three functional phases. The first phase, called design dependency analysis, systematizes and reorganizes the intrinsic coupling structure of a given existing design model that is represented using the design dependency matrix. The second phase, called redesign partitioning analysis, generates alternative redesign pattern solutions to form a solution selection space through a three-stage procedure. The third phase, called pattern selection analysis, finds an optimal redesign pattern solution that entails the least potential redesign effort (in the subsequent solution process). Each pattern solution identifies and delimits the portions of the design model that need to be recomputed, thus expediting the redesign solution process. In such a way, one can treat the recomputation of the entire model, which is a conventional and computation-expensive solution approach, only as the last resort to solve the redesign problem given. An example redesign problem is used for the methodology illustration.

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35

Fabrika, M., and J. Ďurský. "Algorithms and software solution of thinning models for SIBYLA growth simulator." Journal of Forest Science 51, No. 10 (2012): 431–45. http://dx.doi.org/10.17221/4577-jfs.

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The paper deals with a proposal for a thinning model for the growth simulator SIBYLA. The model is based on an analytical-causal modeling approach. Some partial theorems are tested on experimental data from thinning sample plots. The model is composed of the following components: the model of bio-sociological tree status, the model for score of existence, the model for type of selection, the model for amount of thinning, and the aggregated model of the thinning concept. The appropriate combination of type and amount of thinning allows the user to perform the following thinning concepts: thinning from below, thinning from above, neutral thinning, crop tree thinning, target diameter thinning, target frequency (equilibrium) curve thinning, clear cutting, and thinning by list (interactive thinning). A software solution of the algorithms, and an example of different thinning concepts for selected forest stands is presented at the end of the paper along with a discussion about the advantages and disadvantages of the thinning model compared to the SILVA 2.2 model.

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36

YU, XIAOJING, CHUFEN WU, and PEIXUAN WENG. "TRAVELING WAVES FOR A SIRS MODEL WITH NONLOCAL DIFFUSION." International Journal of Biomathematics 05, no. 05 (2012): 1250036. http://dx.doi.org/10.1142/s1793524511001787.

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In this paper, we study a delayed SIRS model with nonlocal diffusion. The well posedness of the model is investigated. Furthermore, we concern with the problem of traveling wave solutions. By using the partial quasi-monotone condition, cross-iteration scheme and fixed-point theorem, sufficient conditions are derived for the existence of traveling waves connecting the two equilibria which depends on the existence of a pair of upper solution and lower solution. We in fact construct a pair of upper solution and lower solution concretely to guarantee the existence of traveling waves.

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37

Choboter, P. F., R. M. Samelson, and J. S. Allen. "A New Solution of a Nonlinear Model of Upwelling." Journal of Physical Oceanography 35, no. 4 (2005): 532–44. http://dx.doi.org/10.1175/jpo2697.1.

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Abstract A two-dimensional, frictionless, nonlinear model of coastal upwelling is reexamined. The model has been solved previously at steady state and as an initial-value problem. The previous solution to the initial-value problem is inconsistent with the steady-state solution. A new solution to the spinup problem is presented that approaches the existing steady-state solution. In the new solution, a surface equatorward jet develops more rapidly than a poleward undercurrent, but the surface jet is of limited strength so that the undercurrent velocity eventually surpasses that of the surface flow. Consideration of dimensional scales implies that the magnitude of the wind stress determines how quickly steady state is approached but does not affect the steady-state fields. Exact solutions found with an arbitrary alongshore pressure gradient imply that there is no poleward flow without a poleward pressure gradient.

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38

Misztal, I., and D. Gianola. "Indirect Solution of Mixed Model Equations." Journal of Dairy Science 70, no. 3 (1987): 716–23. http://dx.doi.org/10.3168/jds.s0022-0302(87)80063-2.

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39

Ahmad Kouchay, Shouket. "Cloud Security Vulnerabilities and Solution Model." Review of Computer Engineering Research 7, no. 1 (2020): 12–19. http://dx.doi.org/10.18488/journal.76.2020.71.12.19.

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40

Matsuda, Tomohiro. "Domain wall solution for vectorlike model." Physics Letters B 423, no. 1-2 (1998): 40–44. http://dx.doi.org/10.1016/s0370-2693(98)00097-5.

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41

BERTO, MARIA ISABEL, ANA CAROLINA A. GRATÃTO, ALFREDO A. VITALI, and VIVALDO SILVEIRA JR. "RHEOLOGY OF SUCROSE-CMC MODEL SOLUTION." Journal of Texture Studies 34, no. 4 (2003): 391–400. http://dx.doi.org/10.1111/j.1745-4603.2003.tb01071.x.

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42

Misztal, I., and D. Gianola. "Indirect Solution of Mixed Model Equations." Journal of Dairy Science 71 (June 1988): 99–106. http://dx.doi.org/10.1016/s0022-0302(88)79987-7.

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43

Dalík, Josef, Josef Daněčcek, and Jiří Vala. "Numerical Solution of the Kiessl Model." Applications of Mathematics 45, no. 1 (2000): 3–17. http://dx.doi.org/10.1023/a:1022232632054.

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44

Vergeles, S. N. "Another solution of 2D Ising model." Journal of Experimental and Theoretical Physics 108, no. 4 (2009): 718–24. http://dx.doi.org/10.1134/s1063776109040189.

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45

SHI, CHANG-GUANG, and MINORU HIRAYAMA. "APPROXIMATE VORTEX SOLUTION OF FADDEEV MODEL." International Journal of Modern Physics A 23, no. 09 (2008): 1361–69. http://dx.doi.org/10.1142/s0217751x08039517.

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Through an ansatz specifying the azimuthal-angle dependence of the solution, the static field equation for vortex of the Faddeev model is converted to an algebraic ordinary differential equation. An approximate analytic expression of the vortex solution is explored so that the energy per unit vortex length becomes as small as possible. It is observed that the minimum energy of vortex is approximately proportional to the integer which specifies the solution.

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46

Buzano, Carla, and Marco Pretti. "Polymer Solution Model with Anisotropic Phase." Molecular Crystals and Liquid Crystals 398, no. 1 (2003): 23–32. http://dx.doi.org/10.1080/15421400390220926.

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47

Chen, Shiping, and Dekun Hu. "The solution to the SK-model." Acta Mathematica Scientia 22, no. 2 (2002): 283–88. http://dx.doi.org/10.1016/s0252-9602(17)30483-6.

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48

Knežo, Dušan. "Model of Solution Diffusions Through Membranes." Acta Mechanica Slovaca 17, no. 3 (2013): 98–101. http://dx.doi.org/10.21496/ams.2013.039.

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49

Haynes, Henry W. "Thermodynamic solution model for trona brines." AIChE Journal 49, no. 7 (2003): 1883–94. http://dx.doi.org/10.1002/aic.690490724.

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50

Matsen, M. W., and D. E. Sullivan. "Lattice model for surfactants in solution." Physical Review A 41, no. 4 (1990): 2021–30. http://dx.doi.org/10.1103/physreva.41.2021.

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