Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity

Myrto Galanopoulou; Andreas Vikelis; Konstantinos Koumatos

doi:10.1080/03605302.2022.2047725

Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity

Myrto Galanopoulou, Andreas Vikelis, Konstantinos Koumatos

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symmetrisability condition for the system. A Gårding-type inequality for these quasiconvex functions is proved and used to establish a weak-strong uniqueness result for a class of dissipative measure-valued solutions.

Original language	English (US)
Pages (from-to)	1-43
Number of pages	43
Journal	Communications in Partial Differential Equations
DOIs	https://doi.org/10.1080/03605302.2022.2047725
State	Published - Mar 24 2022
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2022-05-25
Acknowledgements: KK and AV acknowledge the support of the Dr Perry James (Jim) Browne Research Centre on Mathematics and its Applications of the University of Sussex. The article was partially written while MG was a PhD student at King Abdullah University of Science and Technology (KAUST), Saudi Arabia.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/03605302.2022.2047725

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abstract = "This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symmetrisability condition for the system. A G{\aa}rding-type inequality for these quasiconvex functions is proved and used to establish a weak-strong uniqueness result for a class of dissipative measure-valued solutions.",

author = "Myrto Galanopoulou and Andreas Vikelis and Konstantinos Koumatos",

note = "KAUST Repository Item: Exported on 2022-05-25 Acknowledgements: KK and AV acknowledge the support of the Dr Perry James (Jim) Browne Research Centre on Mathematics and its Applications of the University of Sussex. The article was partially written while MG was a PhD student at King Abdullah University of Science and Technology (KAUST), Saudi Arabia. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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AU - Galanopoulou, Myrto

AU - Vikelis, Andreas

AU - Koumatos, Konstantinos

N1 - KAUST Repository Item: Exported on 2022-05-25 Acknowledgements: KK and AV acknowledge the support of the Dr Perry James (Jim) Browne Research Centre on Mathematics and its Applications of the University of Sussex. The article was partially written while MG was a PhD student at King Abdullah University of Science and Technology (KAUST), Saudi Arabia. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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N2 - This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symmetrisability condition for the system. A Gårding-type inequality for these quasiconvex functions is proved and used to establish a weak-strong uniqueness result for a class of dissipative measure-valued solutions.

AB - This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symmetrisability condition for the system. A Gårding-type inequality for these quasiconvex functions is proved and used to establish a weak-strong uniqueness result for a class of dissipative measure-valued solutions.

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UR - https://www.tandfonline.com/doi/full/10.1080/03605302.2022.2047725

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M3 - Article

SN - 1532-4133

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EP - 43

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

ER -

Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity

Abstract

Bibliographical note

ASJC Scopus subject areas

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