Analysis of a two-scale system for gas-liquid reactions with non-linear Henry-type transfer

A. Muntean, M. Neuss-Radu

Research output: Book/ReportReportAcademic

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Abstract

In this paper, we consider a coupled two-scale nonlinear reaction-diffusion system modelling gas-liquid reactions. The novel feature of the model is the nonlinear transmission condition between the microscopic and macroscopic concentrations, given by a nonlinear Henry-type transfer function. The solution is approximated by using a Galerkin method adapted to the multiscale form of the system. This approach leads to existence and uniqueness of the solution, and can also be used for numerical computations for a larger class of nonlinear multiscale problems.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages19
Publication statusPublished - 2009

Publication series

NameCASA-report
Volume0925
ISSN (Print)0926-4507

Fingerprint

Henry
Liquid
Multiscale Problems
Transmission Conditions
Reaction-diffusion
Galerkin Method
Numerical Computation
Transfer Function
Nonlinear Problem
Existence and Uniqueness
Gas
Model

Cite this

Muntean, A., & Neuss-Radu, M. (2009). Analysis of a two-scale system for gas-liquid reactions with non-linear Henry-type transfer. (CASA-report; Vol. 0925). Eindhoven: Technische Universiteit Eindhoven.
Muntean, A. ; Neuss-Radu, M. / Analysis of a two-scale system for gas-liquid reactions with non-linear Henry-type transfer. Eindhoven : Technische Universiteit Eindhoven, 2009. 19 p. (CASA-report).
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Muntean, A & Neuss-Radu, M 2009, Analysis of a two-scale system for gas-liquid reactions with non-linear Henry-type transfer. CASA-report, vol. 0925, Technische Universiteit Eindhoven, Eindhoven.

Analysis of a two-scale system for gas-liquid reactions with non-linear Henry-type transfer. / Muntean, A.; Neuss-Radu, M.

Eindhoven : Technische Universiteit Eindhoven, 2009. 19 p. (CASA-report; Vol. 0925).

Research output: Book/ReportReportAcademic

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T1 - Analysis of a two-scale system for gas-liquid reactions with non-linear Henry-type transfer

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AU - Neuss-Radu, M.

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AB - In this paper, we consider a coupled two-scale nonlinear reaction-diffusion system modelling gas-liquid reactions. The novel feature of the model is the nonlinear transmission condition between the microscopic and macroscopic concentrations, given by a nonlinear Henry-type transfer function. The solution is approximated by using a Galerkin method adapted to the multiscale form of the system. This approach leads to existence and uniqueness of the solution, and can also be used for numerical computations for a larger class of nonlinear multiscale problems.

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Muntean A, Neuss-Radu M. Analysis of a two-scale system for gas-liquid reactions with non-linear Henry-type transfer. Eindhoven: Technische Universiteit Eindhoven, 2009. 19 p. (CASA-report).