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

Zhang, Ming

doi:10.1007/s00033-023-02006-9

Z. Angew. Math. Phys.

2023

DOI: 10.1007/s00033-023-02006-9

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

Ming Zhang

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2024

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Cited by 2 publications

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A type III thermoelastic problem with two dissipative mechanisms

Fernández,

Quintanilla

2024

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A type III thermoelastic problem with two dissipative mechanisms

Fernández,

Quintanilla

2024

Applicable Analysis

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Exponential stability of viscoelastic structure with second sound

C. Gorain,

Carlos,

Vera

et al. 2024

Electron. J. Appl. Math.

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This manuscript deals with a thermo-viscoelastic system describing the vibrations of a flexible structure. We study this structure's stabilization problem when subjected to Kelvin-Voigt damping and the second sound. Cattaneo-Vernotte's law governs the thermal effect, eliminating the physical paradox of equal speed of waves in the classical thermoelastic theory. Semigroup theory proves the solution's existence and uniqueness. Exponential stability is proved by the energy method.

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

Cited by 2 publications

References 20 publications

A type III thermoelastic problem with two dissipative mechanisms

A type III thermoelastic problem with two dissipative mechanisms

Exponential stability of viscoelastic structure with second sound

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