Analysis of Reaction-Diffusion Models with the Taxis Mechanism [PDF]
, 2022 This open access book deals with a rich variety of taxis-type cross-diffusive equations. Particularly, it intends to show the key role played by quasi-energy inequality in the derivation of some necessary a priori estimates.
Ke, Yuanyuan, Li, Jing, Wang, Yifu
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, 2022 Implementation of reaction diffusion models.
Christian Nitzsche (13774362) +1 more
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Reaction-Diffusion Systems: Self-Balancing Diffusion and the Use of the Extent of Reaction as a Descriptor of Reaction Kinetics [PDF]
, 2019 Self-balancing diffusion is a concept which restricts the introduction of extents of reactions. This concept is analyzed in detail for mass- and molar-based balances of reaction-diffusion mixtures, in relation to non-self-balancing cases, and with ...
Miloslav, Pekař +1 more
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A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations [PDF]
, 2013 An extension of the local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations is presented and analyzed, both in the steadystate and the transient setting.
Volker, John +2 more
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Synchronization Methods for the Degn-Harrison Reaction-Diffusion Systems
IEEE Access, 2020 The paper concerns the problem of synchronization-control in nonlinear bacterial cultures reaction-diffusion model, linear and nonlinear controllers have been proposed to study the complete synchronization of couples of the Degn-Harrison system with ...
Fatiha Mesdoui +4 more
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EDP-convergence for a linear reaction-diffusion system with fast reversible reaction [PDF]
, 2020 We perform a fast-reaction limit for a linear reaction-diffusion system consisting of two diffusion equations coupled by a linear reaction. We understand the linear reaction-diffusion system as a gradient flow of the free energy in the space of ...
Stephan, Artur, Artur Stephan
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Reaction-Diffusion in the NEURON Simulator
Frontiers in Neuroinformatics, 2013 In order to support research on the role of cell biological principles (genomics, proteomics, signaling cascades and reaction dynamics) on the dynamics of neuronal response in health and disease, NEURON has developed a Reaction-Diffusion (rxd) module in ...
Robert A. McDougal +4 more
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Curvature effects on a simplified reaction-diffusion model of biodegradation [PDF]
, 2017 The biodegradation process of some types of polymers occurs due to many different factors including their morphology, structure and chemical composition.
Núnez-López, Mayra +2 more
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Global Renormalised Solutions and Equilibration of Reaction–Diffusion Systems with Nonlinear Diffusion [PDF]
, 2023 The global existence of renormalised solutions and convergence to equilibrium for reaction-diffusion systems with non-linear diffusion are investigated.
Klemens Fellner +9 more
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Stationary Multiple Spots for Reaction-Diffusion Systems [PDF]
, 2007 In this paper, we review analytical methods for a rigorous study of the existence and stability of stationary, multiple spots for reaction-diffusion systems.
Winter, M +3 more
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