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Global existence and exponential stability of solutions for thermodiffusion equations of type III

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Abstract

In this paper, we consider an initial boundary value problem for the one-dimensional thermodiffusion equations of type III. By the semigroup approach and the energy method, we establish the global existence and exponential stability for the solutions in a bounded region. The main work of this paper is to extend the study of thermodiffusion equations to the model of type III, which can be used as a reference for the study of other types of partial differential equations.

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Acknowledgements

The author would like to thank the editors and reviewers for their valuable comments to improve the manuscript.

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This research received no external funding except the support from the signing institutions.

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  1. School of of Science, Hangzhou Dianzi University, Hangzhou, 310018, People’s Republic of China

    Ming Zhang

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  1. Ming Zhang
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MZ wrote all the manuscript text. The author reviewed the manuscript.

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Correspondence to Ming Zhang.

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Zhang, M. Global existence and exponential stability of solutions for thermodiffusion equations of type III. Z. Angew. Math. Phys. 74, 113 (2023). https://doi.org/10.1007/s00033-023-02006-9

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  • DOI: https://doi.org/10.1007/s00033-023-02006-9

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