GLOBAL DYNAMICS OF CLASSICAL SOLUTIONS TO A MODEL OF MIXING FLOW

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Dr. KUN ZHAO
Dr. KUN ZHAO
α University of Iowa University of Iowa

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GLOBAL DYNAMICS OF CLASSICAL SOLUTIONS TO A MODEL OF MIXING FLOW

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Abstract

We study the long-time dynamics of classical solutions to an initial-boundary value problem for modeling equations of a two-component mixture. Time asymptotically, it is shown that classical solutions converge exponentially to constant equilibrium states as time goes to infinity for large initial data, due to diffusion and boundary effects.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. KUN ZHAO. 2012. \u201cGLOBAL DYNAMICS OF CLASSICAL SOLUTIONS TO A MODEL OF MIXING FLOW\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F2): .

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Issue Cover
GJSFR Volume 12 Issue F2
Pg. 23- 42
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

March 6, 2012

Language
English
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We study the long-time dynamics of classical solutions to an initial-boundary value problem for modeling equations of a two-component mixture. Time asymptotically, it is shown that classical solutions converge exponentially to constant equilibrium states as time goes to infinity for large initial data, due to diffusion and boundary effects.

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GLOBAL DYNAMICS OF CLASSICAL SOLUTIONS TO A MODEL OF MIXING FLOW

Dr. KUN ZHAO
Dr. KUN ZHAO

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