Academic Journal

Analyticity of thermo-elastic semigroups with free boundary conditions

Λεπτομέρειες βιβλιογραφικής εγγραφής
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
Βάση Δεδομένων: OpenAIRE
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