메뉴 건너뛰기




Volumn 55, Issue 2, 2007, Pages 163-184

The strong stability and instability of a fluid-structure semigroup

Author keywords

Asymptotic stability; Fluid structure interactions; Partial differential equations

Indexed keywords

ASYMPTOTIC DECAYS; FLUID STRUCTURE GENERATORS; FLUID STRUCTURE INTERACTIONS; NAGY FOIAS DECOMPOSITION;

EID: 33947185392     PISSN: 00954616     EISSN: 14320606     Source Type: Journal    
DOI: 10.1007/s00245-006-0884-z     Document Type: Conference Paper
Times cited : (32)

References (22)
  • 1
    • 84966249611 scopus 로고
    • Tauberian theorems and stability of one parameter semigroups
    • W. Arendt and C. J. K. Batty, Tauberian theorems and stability of one parameter semigroups, Trans. Amer. Math. Soc., 306(8) (1988), 837-852.
    • (1988) Trans. Amer. Math. Soc , vol.306 , Issue.8 , pp. 837-852
    • Arendt, W.1    Batty, C.J.K.2
  • 2
    • 84864176763 scopus 로고    scopus 로고
    • J. P. Aubin, Analyse Fonctionnelle Appliquée, Tome 2, Presses Universitares de France (1987).
    • J. P. Aubin, Analyse Fonctionnelle Appliquée, Tome 2, Presses Universitares de France (1987).
  • 3
    • 33947121814 scopus 로고    scopus 로고
    • Strong stability of PDE semigroups via a resolvent criterion of Y
    • University of Minnesota, May
    • G. Avalos, Strong stability of PDE semigroups via a resolvent criterion of Y. Tomilov, IMA Preprint Series #2042 (University of Minnesota) (May 2005).
    • (2005) IMA Preprint Series. Tomilov , vol.2042
    • Avalos, G.1
  • 4
    • 0000026765 scopus 로고    scopus 로고
    • The strong stability of a semigroup arising from a coupled hyperbolic/parabolic system
    • G. Avalos and I. Lasiecka, The strong stability of a semigroup arising from a coupled hyperbolic/parabolic system, Semigroup Forum, 57 (1998), 278-292.
    • (1998) Semigroup Forum , vol.57 , pp. 278-292
    • Avalos, G.1    Lasiecka, I.2
  • 5
    • 33947131829 scopus 로고    scopus 로고
    • The coupled PDE system arising in fluid/structure interaction, Part 1: Explicit semigroup generator and strong stability
    • Preprint
    • G. Avalos and R. Triggiani, The coupled PDE system arising in fluid/structure interaction, Part 1: Explicit semigroup generator and strong stability, Preprint (2006).
    • (2006)
    • Avalos, G.1    Triggiani, R.2
  • 6
    • 33947147812 scopus 로고    scopus 로고
    • Weak and strong solutions in nonlinear fluid structure interactions
    • Preprint
    • V. Barbu, Z. Grujic, I. Lasiecka and A. Tuffaha, Weak and strong solutions in nonlinear fluid structure interactions, Preprint (2006).
    • (2006)
    • Barbu, V.1    Grujic, Z.2    Lasiecka, I.3    Tuffaha, A.4
  • 7
    • 0010532595 scopus 로고
    • Strong stability of Hilbert space contraction semigroups
    • K. N. Boyadzhiev and N. Levan, Strong stability of Hilbert space contraction semigroups, Studia Sci. Math. Hungar., 30 (1995), 162-182.
    • (1995) Studia Sci. Math. Hungar , vol.30 , pp. 162-182
    • Boyadzhiev, K.N.1    Levan, N.2
  • 8
    • 33947182625 scopus 로고    scopus 로고
    • Stability of operator semigroups: Ideas and results
    • Preprint
    • R. Chill and Y. Tomilov, Stability of operator semigroups: ideas and results, Preprint (2005).
    • (2005)
    • Chill, R.1    Tomilov, Y.2
  • 10
    • 0038396651 scopus 로고    scopus 로고
    • Weak solutions of fluid-structure interaction problems
    • G. Hsiao, R. Kleinman and G. Roach, Weak solutions of fluid-structure interaction problems, Math. Nachr., 218 (2000), 139-163.
    • (2000) Math. Nachr , vol.218 , pp. 139-163
    • Hsiao, G.1    Kleinman, R.2    Roach, G.3
  • 14
    • 0018016345 scopus 로고
    • The stabilization problem: A Hilbert space operator decomposition approach
    • N. Levan, The stabilization problem: a Hilbert space operator decomposition approach, IEEE Trans. Circuits Systems, AS-2519 (1978), 721-727.
    • (1978) IEEE Trans. Circuits Systems , vol.AS-2519 , pp. 721-727
    • Levan, N.1
  • 17
    • 33947135978 scopus 로고    scopus 로고
    • Y. I. Lyubich and V. Q. Phong, Asymptotic stability of linear differential equations in Banach spaces, Studia Mat., LXXXVII (1988), 37-42.
    • Y. I. Lyubich and V. Q. Phong, Asymptotic stability of linear differential equations in Banach spaces, Studia Mat., LXXXVII (1988), 37-42.
  • 21
    • 0010599638 scopus 로고    scopus 로고
    • A resolvent approach to stability of operator semigroups
    • Y. Tomilov, A resolvent approach to stability of operator semigroups, J. Operator Theory, 46 (2001), 63-98.
    • (2001) J. Operator Theory , vol.46 , pp. 63-98
    • Tomilov, Y.1
  • 22
    • 33947163092 scopus 로고    scopus 로고
    • Personal communication
    • R. Triggiani, Personal communication.
    • Triggiani, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.