001449881 000__ 03663cam\a2200529\i\4500 001449881 001__ 1449881 001449881 003__ OCoLC 001449881 005__ 20230310004423.0 001449881 006__ m\\\\\o\\d\\\\\\\\ 001449881 007__ cr\cn\nnnunnun 001449881 008__ 220928s2022\\\\sz\a\\\\ob\\\\000\0\eng\d 001449881 019__ $$a1345582527 001449881 020__ $$a9783031125195$$q(electronic bk.) 001449881 020__ $$a3031125193$$q(electronic bk.) 001449881 020__ $$z9783031125188 001449881 020__ $$z3031125185 001449881 0247_ $$a10.1007/978-3-031-12519-5$$2doi 001449881 035__ $$aSP(OCoLC)1346154818 001449881 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dOCLCF$$dOCLCQ 001449881 049__ $$aISEA 001449881 050_4 $$aQA935 001449881 08204 $$a531/.32$$223/eng/20220928 001449881 1001_ $$aAmmari, Kaïs,$$eauthor. 001449881 24510 $$aStabilization of Kelvin-Voigt damped systems /$$cKaïs Ammari, Fathi Hassine. 001449881 264_1 $$aCham :$$bBirkhäuser,$$c[2022] 001449881 264_4 $$c©2022 001449881 300__ $$a1 online resource (x, 150 pages) :$$bcolor illustrations. 001449881 336__ $$atext$$btxt$$2rdacontent 001449881 337__ $$acomputer$$bc$$2rdamedia 001449881 338__ $$aonline resource$$bcr$$2rdacarrier 001449881 4901_ $$aAdvances in mechanics and mathematics,$$x1876-9896 ;$$vvolume 47 001449881 504__ $$aIncludes bibliographical references. 001449881 5050_ $$aPreface -- Chapter 1. Preliminaries -- Chapter 2. Stability of elastic transmission systems with a local Kelvin-Voigt damping -- Chapter 3. Stabilization for the wave equation with singular Kelvin-Voigt damping -- Chapter 4. Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping -- Chapter 5. Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin-Voigt damping -- Chapter 6. Asymptotic behavior of the transmission Euler-Bernoulli plate and wave equation with a localized Kelvin-Voigt damping -- Chapter 7. Conclusion and perspectives -- Bibliography. 001449881 506__ $$aAccess limited to authorized users. 001449881 520__ $$aThis monograph examines the stability of various coupled systems with local Kelvin-Voigt damping. The development of this area is thoroughly reviewed along with the authors' contributions. New results are featured on the fundamental properties of solutions of linear transmission evolution PDEs involving Kelvin-Voigt damping, with special emphasis on the asymptotic behavior of these solutions. The vibrations of transmission problems are highlighted as well, making this a valuable resource for those studying this active area of research. The book begins with a brief description of the abstract theory of linear evolution equations with a particular focus on semigroup theory. Different types of stability are also introduced along with their connection to resolvent estimates. After this foundation is established, different models are presented for uni-dimensional and multi-dimensional linear transmission evolution partial differential equations with Kelvin-Voigt damping. Stabilization of Kelvin-Voigt Damped Systems will be a useful reference for researchers in mechanics, particularly those interested in the study of control theory of PDEs. 001449881 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 28, 2022). 001449881 650_0 $$aDamping (Mechanics) 001449881 655_0 $$aElectronic books. 001449881 7001_ $$aHassine, Fathi,$$eauthor. 001449881 77608 $$iPrint version: $$z3031125185$$z9783031125188$$w(OCoLC)1333079320 001449881 830_0 $$aAdvances in mechanics and mathematics ;$$vv. 47.$$x1876-9896 001449881 852__ $$bebk 001449881 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-12519-5$$zOnline Access$$91397441.1 001449881 909CO $$ooai:library.usi.edu:1449881$$pGLOBAL_SET 001449881 980__ $$aBIB 001449881 980__ $$aEBOOK 001449881 982__ $$aEbook 001449881 983__ $$aOnline 001449881 994__ $$a92$$bISE