PublicaciĂłn:
GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR A SEMILINEAR BRESSE BEAM MODEL WITH BOUNDARY CONSTRAINTS

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dc.creatorJAIME EDILBERTO MUĂ‘OZ RIVERA
dc.date2023
dc.date.accessioned2025-01-10T15:43:06Z
dc.date.available2025-01-10T15:43:06Z
dc.date.issued2023
dc.description.abstractWE STUDY THE SEMI-LINEAR SIGNORINI PROBLEM FOR THE BRESSE BEAM (CURVED BEAMS) WITH FRICTIONAL DISSIPATION. WE SHOW THAT THERE EXISTS AT LEAST ONE WEAK SOLUTION THAT DECAYS EXPONENTIALLY TO ZERO WHEN THE SYSTEM IS TOTALLY DISSIPATIVE, OTHERWISE, IF THE DISSIPATIVE MECHANISMS ARE EFFECTIVE IN ONLY ONE OR TWO EQUATIONS OF THE SYSTEM, WE STILL SHOW THE EXPONENTIAL DECAY PROVIDED THE PROPAGATION SPEEDS OF THE MODEL ARE EQUAL TO EACH OTHER. IF THE SPEEDS OF PROPAGATIONS ARE DIFFERENT AND THE DISSIPATIVE MECHANISMS EFFECTIVE ONLY IN ONE OR TWO EQUATIONS THEN THE SOLUTION DECAYS POLYNOMIALLY IN GENERAL AS . THE EXCEPTION IS WHEN THE FRICTIONAL DISSIPATIVE MECHANISM IS EFFECTIVE ONLY OVER THE AXIAL FORCE IN WHICH CASE THE RATE OF DECAY IS . OUR MAIN TOOL IS THE SEMIGROUP THEORY APPLIED TO THE HYBRID MODEL THAT APPROXIMATES THE SIGNORINI PROBLEM. A NUMERICAL APPROACH IS PRESENTED TO HIGHLIGHT OUR THEORETICAL RESULTS.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.jmaa.2023.127637
dc.identifier.issn1096-0813
dc.identifier.issn0022-247X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13333
dc.languagespa
dc.publisherJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
dc.relation.uri10.1016/j.jmaa.2023.127637
dc.rightsPUBLICADA
dc.subjectSignorini contact conditions
dc.subjectSemilinear Bresse beams
dc.subjectNumerical experiments
dc.subjectDynamic vibrations
dc.subjectAsymptotic behavior
dc.titleGLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR A SEMILINEAR BRESSE BEAM MODEL WITH BOUNDARY CONSTRAINTS
dc.typeARTĂŤCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIĂ“N
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