메뉴 건너뛰기




Volumn 66, Issue 3, 2006, Pages 977-1001

Qualitative aspects in dual-phase-lag thermoelasticity

Author keywords

Exponential stability; Hyperbolic model in thermoelasticity; Spatial evolution in a semiinfinite cylinder; Well posedness

Indexed keywords

PROBLEM SOLVING; STABILITY;

EID: 33745672518     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/05062860X     Document Type: Article
Times cited : (103)

References (34)
  • 1
    • 4544364440 scopus 로고    scopus 로고
    • On a nonatandard problem for heat conduction in a cylinder
    • K. A. AMES, L. E. PAYNE, AND P. W. SCHAEFER, On a nonatandard problem for heat conduction in a cylinder, Appl. Anal., 83 (2004), pp. 125-133.
    • (2004) Appl. Anal. , vol.83 , pp. 125-133
    • Ames, K.A.1    Payne, L.E.2    Schaefer, P.W.3
  • 2
    • 0000759403 scopus 로고    scopus 로고
    • Spatial estimates for dynamical problems in several elasticity theories
    • F. BOFILL AND R. QUINTANILLA, Spatial estimates for dynamical problems in several elasticity theories, Ricerche. Mat., 46 (1997), pp. 425-441.
    • (1997) Ricerche. Mat. , vol.46 , pp. 425-441
    • Bofill, F.1    Quintanilla, R.2
  • 3
    • 0001194946 scopus 로고    scopus 로고
    • Hyperbolic thermoelasticity: A review of recent literature
    • D. S. CHANDRASEKHARAIAH, Hyperbolic thermoelasticity: A review of recent literature, Appl. Mech. Rev., 51 (1998), pp. 705-729.
    • (1998) Appl. Mech. Rev. , vol.51 , pp. 705-729
    • Chandrasekharaiah, D.S.1
  • 4
    • 0042861680 scopus 로고    scopus 로고
    • Some further growth and decay results in linear thermoelas-todynamics
    • S. CHIRIŢǍ AND M. CIARLETTA, Some further growth and decay results in linear thermoelas-todynamics, J. Thermal Stresses, 26 (2003), pp. 889-903.
    • (2003) J. Thermal Stresses , vol.26 , pp. 889-903
    • Chiriţǎ, S.1    Ciarletta, M.2
  • 5
    • 0001385248 scopus 로고
    • Decay estimates for the constrained elastic cylinder of variable cross section
    • J. N. FLAVIN, R. J. KNOPS, AND L. E. PAYNE, Decay estimates for the constrained elastic cylinder of variable cross section, Quart. Appl. Math., 47 (1989), pp. 325-350.
    • (1989) Quart. Appl. Math. , vol.47 , pp. 325-350
    • Flavin, J.N.1    Knops, R.J.2    Payne, L.E.3
  • 7
    • 0000992210 scopus 로고
    • Continuous dependence on the relaxation time and modelling, and unbounded growth in theories of heat conduction with finite propagation speeds
    • F. FRANCHI AND B. STRAUGHAN, Continuous dependence on the relaxation time and modelling, and unbounded growth in theories of heat conduction with finite propagation speeds, J. Math. Anal. Appl., 185 (1994), pp. 726-746.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 726-746
    • Franchi, F.1    Straughan, B.2
  • 8
    • 0024912391 scopus 로고
    • A heat conduction equation with three relaxation times
    • A. F. GHALEB AND M. SH. EL-DEEN MOHAMEDEIN, A heat conduction equation with three relaxation times, Internat. J. Engrg. Sci., 27 (1989), pp. 1367-1377.
    • (1989) Internat. J. Engrg. Sci. , vol.27 , pp. 1367-1377
    • Ghaleb, A.F.1    El-Deen Mohamedein, M.Sh.2
  • 11
    • 33749293635 scopus 로고
    • Recent developments concerning Saint-Venant's principle: An update
    • C. O. HORGAN, Recent developments concerning Saint-Venant's principle: An update, Appl. Mech. Rev., 42 (1989), pp. 295-303.
    • (1989) Appl. Mech. Rev. , vol.42 , pp. 295-303
    • Horgan, C.O.1
  • 12
    • 0030257414 scopus 로고    scopus 로고
    • Recent developments concerning Saint-Venant's principle: A second update
    • C. O. HORGAN, Recent developments concerning Saint-Venant's principle: A second update, Appl. Mech. Rev., 49 (1996), pp. 101-111.
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 101-111
    • Horgan, C.O.1
  • 13
    • 77956791026 scopus 로고
    • Recent developments concerning Saint-Venant's principle
    • C. O. HORGAN AND J. K. KNOWLES, Recent developments concerning Saint-Venant's principle, Adv. Appl. Mech., 23 (1983), pp. 179-269.
    • (1983) Adv. Appl. Mech. , vol.23 , pp. 179-269
    • Horgan, C.O.1    Knowles, J.K.2
  • 14
    • 0021412015 scopus 로고
    • Spatial decay estimates in transient heat conduction
    • C. O. HORGAN, L. E. PAYNE, AND L. T. WHEELER, Spatial decay estimates in transient heat conduction, Quart. Appl. Math., 42 (1984), pp. 119-127.
    • (1984) Quart. Appl. Math. , vol.42 , pp. 119-127
    • Horgan, C.O.1    Payne, L.E.2    Wheeler, L.T.3
  • 15
    • 10844246553 scopus 로고    scopus 로고
    • Spatial behaviour of solutions of the dual-phase-lag heat equation
    • C, O. HORGAN AND R. QUINTANILLA, Spatial behaviour of solutions of the dual-phase-lag heat equation, Math. Meth. Appl. Sci., 28 (2005), pp. 43-57.
    • (2005) Math. Meth. Appl. Sci. , vol.28 , pp. 43-57
    • Horgan, C.O.1    Quintanilla, R.2
  • 16
    • 14044250831 scopus 로고    scopus 로고
    • Spatial decay of transient end effects for non-standard linear diffusion problems
    • C. O. HORGAN AND R. QUINTANILLA, Spatial decay of transient end effects for non-standard linear diffusion problems, IMA J. Appl. Math., 70 (2005), pp. 119-128.
    • (2005) IMA J. Appl. Math. , vol.70 , pp. 119-128
    • Horgan, C.O.1    Quintanilla, R.2
  • 17
    • 0004254827 scopus 로고    scopus 로고
    • Evolution Equations in Thermoelasticity, π
    • Chapman & Hall/CRC, Boca Raton
    • S. JIANG AND R. RACKE, Evolution Equations in Thermoelasticity, π Monogr. Surv., Pure Appl. Math. 112. Chapman & Hall/CRC, Boca Raton, 2000.
    • (2000) Monogr. Surv., Pure Appl. Math. , vol.112
    • Jiang, S.1    Racke, R.2
  • 19
    • 20444402202 scopus 로고    scopus 로고
    • Alternative spatial growth and decay for constrained motion in an elastic cylinder
    • in press
    • R. J. KNOPS AND L. E. PAYNE, Alternative spatial growth and decay for constrained motion in an elastic cylinder, Math. Mech. Solids, in press.
    • Math. Mech. Solids
    • Knops, R.J.1    Payne, L.E.2
  • 21
    • 4544361743 scopus 로고    scopus 로고
    • Improved bounds for some nonstandard problems in generalized heat conduction
    • L. E. PAYNE, P. W. SCHAEFER, AND J. C. SONG, Improved bounds for some nonstandard problems in generalized heat conduction, J. Math. Anal. Appl., 298 (2004), pp. 325-340.
    • (2004) J. Math. Anal. Appl. , vol.298 , pp. 325-340
    • Payne, L.E.1    Schaefer, P.W.2    Song, J.C.3
  • 23
    • 0031259091 scopus 로고    scopus 로고
    • Spatial bounds and growth estimates for the heat equation with three relaxation times
    • R. QUINTANILLA, Spatial bounds and growth estimates for the heat equation with three relaxation times, Math. Meth. Appl. Sci., 20 (1997), pp. 1335-1344.
    • (1997) Math. Meth. Appl. Sci. , vol.20 , pp. 1335-1344
    • Quintanilla, R.1
  • 24
    • 0035114169 scopus 로고    scopus 로고
    • End effects in thermoelasticity
    • R. QUINTANILLA, End effects in thermoelasticity, Math. Meth. Appl. Sci., 24 (2001), pp. 93-102.
    • (2001) Math. Meth. Appl. Sci. , vol.24 , pp. 93-102
    • Quintanilla, R.1
  • 25
    • 0036450306 scopus 로고    scopus 로고
    • Exponential stability in the dual-phase-lag heat conduction theory
    • R. QUINTANILLA, Exponential stability in the dual-phase-lag heat conduction theory, J. Non-Equilibrium Thermodynamics, 27 (2002), pp. 217-227.
    • (2002) J. Non-equilibrium Thermodynamics , vol.27 , pp. 217-227
    • Quintanilla, R.1
  • 26
    • 0242695735 scopus 로고    scopus 로고
    • A condition on the delay parameters in the one-dimensional dual-phase-lag thermoelastic theory
    • R. QUINTANILLA, A condition on the delay parameters in the one-dimensional dual-phase-lag thermoelastic theory, J. Thermal Stresses, 26 (2003), pp. 713-721.
    • (2003) J. Thermal Stresses , vol.26 , pp. 713-721
    • Quintanilla, R.1
  • 27
    • 24044491275 scopus 로고    scopus 로고
    • A note on semigroup arguments in nonstandard problems
    • R. QUINTANILLA, A note on semigroup arguments in nonstandard problems, J. Math. Anal. Appl., 310 (2005), pp. 690-698.
    • (2005) J. Math. Anal. Appl. , vol.310 , pp. 690-698
    • Quintanilla, R.1
  • 30
    • 26944501227 scopus 로고    scopus 로고
    • Energy bounds for some non-standard problems in thermoelasticity
    • R. QUINTANILLA AND B. STRAUGHAN, Energy bounds for some non-standard problems in thermoelasticity, Proc. Roy. Soc. London Ser. A, 461 (2005), pp. 1147-1162.
    • (2005) Proc. Roy. Soc. London Ser. A , vol.461 , pp. 1147-1162
    • Quintanilla, R.1    Straughan, B.2
  • 31
    • 0037170972 scopus 로고    scopus 로고
    • Thermoelasticity with second sound-exponential stability in linear and nonlinear 1-d
    • R. RACKE, Thermoelasticity with second sound-exponential stability in linear and nonlinear 1-d, Math. Meth. Appl. Sci., 25 (2002), pp. 409-441.
    • (2002) Math. Meth. Appl. Sci. , vol.25 , pp. 409-441
    • Racke, R.1
  • 32
    • 0038201929 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions in linear 2- Or 3-d thermoelasticity with second sound
    • R. RACKE, Asymptotic behavior of solutions in linear 2- or 3-d thermoelasticity with second sound, Quart. Appl. Math., 61 (2003), pp. 315-328.
    • (2003) Quart. Appl. Math. , vol.61 , pp. 315-328
    • Racke, R.1
  • 33
    • 0035640956 scopus 로고    scopus 로고
    • Spatial decay for solutions of Cauchy problems for perturbed heat equations
    • J. C. SONG, Spatial decay for solutions of Cauchy problems for perturbed heat equations, Math. Models Methods Appl. Sci., 11 (2001), pp. 797-808.
    • (2001) Math. Models Methods Appl. Sci. , vol.11 , pp. 797-808
    • Song, J.C.1
  • 34
    • 0029169286 scopus 로고
    • A unified approach for heat conduction from macro to micro-scales
    • D. Y. Tzou, A unified approach for heat conduction from macro to micro-scales, J. Heat Transfer, 117 (1995), pp. 8-16.
    • (1995) J. Heat Transfer , vol.117 , pp. 8-16
    • Tzou, D.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.