PublicaciĂłn: GEVREY CLASS FOR LOCALLY THREE-PHASE-LAG THERMOELASTIC BEAM SYSTEM
Fecha
2024
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APPLIED MATHEMATICS AND OPTIMIZATION
Resumen
IN THIS ARTICLE WE STUDY THE BEHAVIOR OF THE SOLUTIONS FOR THE THREE-PHASE-LAG HEAT EQUATION WITH LOCALIZED DISSIPATION ON AN EULER-BERNOULLI BEAM MODEL. WE SHOW THAT SEMIGROUP S(T) ASSOCIATED WITH THE PROBLEM IS OF GEVREY CLASS 5 FOR T >0. IF THE COEFFICIENTS SATISFY TAU(ALPHA)>K & LOWAST;TAU(Q), THE SOLUTIONS ARE ALWAYS EXPONENTIALLY STABLE.
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Three-phase-lag thermoelastic, Smoothing effect, Semigroup theory, Gevrey's class, Euler-Bernoulli equation
