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Analyticity of thermo-elastic semigroups with free boundary conditions

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Τίτλος: Analyticity of thermo-elastic semigroups with free boundary conditions
Συγγραφείς: Lasiecka, Irena, Triggiani, Roberto
Στοιχεία εκδότη: Scuola Normale Superiore, Pisa
Θεματικοί όροι: free coupled boundary conditions, thermo-elastic plate system, Thermal effects in solid mechanics, One-parameter semigroups and linear evolution equations, semi-continuous contraction semigroup, Free boundary problems for PDEs, energy space, Other PDE from mechanics, uniform stability, Long-time behavior of solutions for dynamical problems in solid mechanics, Plates, analyticity, Regularity of solutions of dynamical problems in solid mechanics
Περιγραφή: The authors consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. Of all canonical boundary conditions, the authors focus on the most challenging case unsolved in the literature: that of the free coupled boundary conditions. As in other simpler cases, the authors show that the corresponding semi-continuous contraction semigroup (on a natural energy space) is analytic, and, hence, uniformly stable. The proof employs PDE methods and estimates.
Τύπος εγγράφου: Article
Περιγραφή αρχείου: application/xml
Σύνδεσμος πρόσβασης: https://zbmath.org/1381073
Αριθμός Καταχώρησης: edsair.c2b0b933574d..e927b9ca863ea8ac7d9d3559d29b32d5
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  Data: Analyticity of thermo-elastic semigroups with free boundary conditions
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  Data: <searchLink fieldCode="AR" term="%22Lasiecka%2C+Irena%22">Lasiecka, Irena</searchLink><br /><searchLink fieldCode="AR" term="%22Triggiani%2C+Roberto%22">Triggiani, Roberto</searchLink>
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  Data: Scuola Normale Superiore, Pisa
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  Data: <searchLink fieldCode="DE" term="%22free+coupled+boundary+conditions%22">free coupled boundary conditions</searchLink><br /><searchLink fieldCode="DE" term="%22thermo-elastic+plate+system%22">thermo-elastic plate system</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+effects+in+solid+mechanics%22">Thermal effects in solid mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22One-parameter+semigroups+and+linear+evolution+equations%22">One-parameter semigroups and linear evolution equations</searchLink><br /><searchLink fieldCode="DE" term="%22semi-continuous+contraction+semigroup%22">semi-continuous contraction semigroup</searchLink><br /><searchLink fieldCode="DE" term="%22Free+boundary+problems+for+PDEs%22">Free boundary problems for PDEs</searchLink><br /><searchLink fieldCode="DE" term="%22energy+space%22">energy space</searchLink><br /><searchLink fieldCode="DE" term="%22Other+PDE+from+mechanics%22">Other PDE from mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22uniform+stability%22">uniform stability</searchLink><br /><searchLink fieldCode="DE" term="%22Long-time+behavior+of+solutions+for+dynamical+problems+in+solid+mechanics%22">Long-time behavior of solutions for dynamical problems in solid mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Plates%22">Plates</searchLink><br /><searchLink fieldCode="DE" term="%22analyticity%22">analyticity</searchLink><br /><searchLink fieldCode="DE" term="%22Regularity+of+solutions+of+dynamical+problems+in+solid+mechanics%22">Regularity of solutions of dynamical problems in solid mechanics</searchLink>
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  Data: The authors consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. Of all canonical boundary conditions, the authors focus on the most challenging case unsolved in the literature: that of the free coupled boundary conditions. As in other simpler cases, the authors show that the corresponding semi-continuous contraction semigroup (on a natural energy space) is analytic, and, hence, uniformly stable. The proof employs PDE methods and estimates.
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      – SubjectFull: free coupled boundary conditions
        Type: general
      – SubjectFull: thermo-elastic plate system
        Type: general
      – SubjectFull: Thermal effects in solid mechanics
        Type: general
      – SubjectFull: One-parameter semigroups and linear evolution equations
        Type: general
      – SubjectFull: semi-continuous contraction semigroup
        Type: general
      – SubjectFull: Free boundary problems for PDEs
        Type: general
      – SubjectFull: energy space
        Type: general
      – SubjectFull: Other PDE from mechanics
        Type: general
      – SubjectFull: uniform stability
        Type: general
      – SubjectFull: Long-time behavior of solutions for dynamical problems in solid mechanics
        Type: general
      – SubjectFull: Plates
        Type: general
      – SubjectFull: analyticity
        Type: general
      – SubjectFull: Regularity of solutions of dynamical problems in solid mechanics
        Type: general
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      – TitleFull: Analyticity of thermo-elastic semigroups with free boundary conditions
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            NameFull: Lasiecka, Irena
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            NameFull: Triggiani, Roberto
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