Associations and dissociations with time-dependent reaction coefficients in finite polymer mixtures: the model and analytical-numerical method for solution by successive approximations

DOI10.1016/j.apm.2017.04.022zbMath1480.82015OpenAlexW2623936968MaRDI QIDQ2294749

Yanyan Li

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.04.022

zbMATH Keywords

analytical-numerical methodsteady-state solutionquadratic ordinary differential equationchemical reaction with time-dependent coefficientsdiscrete Smoluchowski modelhomopolymer mixture

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Ordinary differential equations of infinite order (34A35)

Cites Work

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• Statistical physics of nanoparticles in the gas phase.
• A specification of the Maxwell-Rayleigh-Heisenberg approach to modelling fluids for bioelectronic applications
• An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• The Boltzmann equation for dissipative disparate mixtures
• Scaling solutions of Smoluchowski's coagulation equation
• Dynamic-equilibrium solutions of ordinary differential equations and their role in applied problems
• THE STEADY STATE CONFIGURATIONAL DISTRIBUTION DIFFUSION EQUATION OF THE STANDARD FENE DUMBBELL POLYMER MODEL: EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR ARBITRARY VELOCITY GRADIENTS
• An exact solution of the discrete Smoluchowski equation and its correspondence to the solution of the continuous equation
• ON AN INFINITE SET OF NON-LINEAR DIFFERENTIAL EQUATIONS
• Singularities in the kinetics of coagulation processes
• Gel, self-similarity and universality in the discrete Smoluchowski equation with finite mass

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