메뉴 건너뛰기




Volumn 121, Issue 3-4, 1998, Pages 252-262

Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys

Author keywords

Asymptotic behaviour; Maximal attractors; Nonlinear systems of PDEs; Phase transitions; Shape memory alloys

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SHAPE MEMORY EFFECT;

EID: 0032188508     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00167-5     Document Type: Article
Times cited : (26)

References (25)
  • 1
    • 0020547461 scopus 로고
    • Creep and yield in martensitic transformations
    • M. Achenbach, I. Müller, Creep and yield in martensitic transformations, Ingenieur-Archiv 53 (1983) 73-83.
    • (1983) Ingenieur-Archiv , vol.53 , pp. 73-83
    • Achenbach, M.1    Müller, I.2
  • 3
    • 58149411463 scopus 로고
    • Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
    • G. Andrews, J.M. Ball, Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity, J. Diff. Eqs. 44 (1982) 306-341.
    • (1982) J. Diff. Eqs. , vol.44 , pp. 306-341
    • Andrews, G.1    Ball, J.M.2
  • 5
    • 0001355354 scopus 로고
    • On a one-dimensional nonlinear thermoviscoelastic model for structural phase transitions in shape memory alloys
    • Z. Chen, K.H. Hoffmann, On a one-dimensional nonlinear thermoviscoelastic model for structural phase transitions in shape memory alloys, J. Diff. Eqs. 112 (1994) 325-350.
    • (1994) J. Diff. Eqs. , vol.112 , pp. 325-350
    • Chen, Z.1    Hoffmann, K.H.2
  • 6
    • 0001271072 scopus 로고
    • Global smooth solutions to the initial boundary value problem for the equations of one-dimensional nonlinear thermoviscoelasticity
    • C.M. Dafermos, Global smooth solutions to the initial boundary value problem for the equations of one-dimensional nonlinear thermoviscoelasticity, SIAM J. Math. Anal. 13 (1982) 397-408.
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 397-408
    • Dafermos, C.M.1
  • 7
    • 0000367902 scopus 로고
    • Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity
    • C.M. Dafermos, L. Hsiao, Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity, Nonlinear Anal. T.M.A. 6 (1982) 435-454.
    • (1982) Nonlinear Anal. T.M.A. , vol.6 , pp. 435-454
    • Dafermos, C.M.1    Hsiao, L.2
  • 8
    • 0000385458 scopus 로고
    • Ginzburg-Landau theory of static domain walls in shape-memory alloys
    • F. Falk, Ginzburg-Landau theory of static domain walls in shape-memory alloys, Z. Phys. B 51 (1983) 177-185.
    • (1983) Z. Phys. B , vol.51 , pp. 177-185
    • Falk, F.1
  • 9
    • 0007841693 scopus 로고
    • Ginzburg-Landau theory and solitary waves in shape-memory alloys
    • F. Falk, Ginzburg-Landau theory and solitary waves in shape-memory alloys, Z. Phys. B 54 (1984) 159-167.
    • (1984) Z. Phys. B , vol.54 , pp. 159-167
    • Falk, F.1
  • 10
    • 84988147740 scopus 로고
    • Existence of solutions to some non-linear thermoelastic systems with viscosity
    • K.H. Hoffmann, A. Zochowski, Existence of solutions to some non-linear thermoelastic systems with viscosity, Math. Meth. Appl. Sci. 15 (1992) 187-204.
    • (1992) Math. Meth. Appl. Sci. , vol.15 , pp. 187-204
    • Hoffmann, K.H.1    Zochowski, A.2
  • 11
    • 0001739014 scopus 로고
    • Global large solutions to initial boundary value problems in one-dimensional nonlinear thermoviscoelasticity
    • S. Jiang, Global large solutions to initial boundary value problems in one-dimensional nonlinear thermoviscoelasticity, Quart. Appl. Math. 51 (1993) 731-744.
    • (1993) Quart. Appl. Math. , vol.51 , pp. 731-744
    • Jiang, S.1
  • 12
    • 38149145102 scopus 로고
    • A nonlinear boundary value problem involving nonlocal term
    • S. Luckhaus, S. Zheng, A nonlinear boundary value problem involving nonlocal term, Nonlinear Anal. T.M.A. 22 (1994) 129-135.
    • (1994) Nonlinear Anal. T.M.A. , vol.22 , pp. 129-135
    • Luckhaus, S.1    Zheng, S.2
  • 14
    • 51649158231 scopus 로고
    • A model for phase transitions in pseudoelastic bodies
    • I. Müller, K. Wilmański, A model for phase transitions in pseudoelastic bodies, Nuovo Cimento B 57 (1980) 283-318.
    • (1980) Nuovo Cimento B , vol.57 , pp. 283-318
    • Müller, I.1    Wilmański, K.2
  • 15
    • 0024052595 scopus 로고
    • Existence of solutions for a mathematical model of structural phase transitions in shape memory alloys
    • M. Niezgódka, J. Sprekels, Existence of solutions for a mathematical model of structural phase transitions in shape memory alloys, Math. Meth. Appl. Sci. 10 (1988) 197-223.
    • (1988) Math. Meth. Appl. Sci. , vol.10 , pp. 197-223
    • Niezgódka, M.1    Sprekels, J.2
  • 16
    • 21344443771 scopus 로고    scopus 로고
    • The Penrose-Fife type equations: Counting the one-dimensional stationary solutions
    • A. Novick-Cohen, S. Zheng, The Penrose-Fife type equations: Counting the one-dimensional stationary solutions, Proc. Roy. Soc. Edinburgh A 126 (1996) 483-504.
    • (1996) Proc. Roy. Soc. Edinburgh A , vol.126 , pp. 483-504
    • Novick-Cohen, A.1    Zheng, S.2
  • 17
    • 0023170272 scopus 로고
    • Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
    • R.L. Pego, Phase transitions in one-dimensional nonlinear viscoelasticity: admissibility and stability, Arch. Rat. Mech. Anal. 97 (1987) 353-394.
    • (1987) Arch. Rat. Mech. Anal. , vol.97 , pp. 353-394
    • Pego, R.L.1
  • 18
    • 0031562010 scopus 로고    scopus 로고
    • Global existence and asymptotic behavior in nonlinear thermoviscoelasticity
    • R. Racke, S. Zheng, Global existence and asymptotic behavior in nonlinear thermoviscoelasticity, J. Diff. Eqs. 134 (1997) 46-67.
    • (1997) J. Diff. Eqs. , vol.134 , pp. 46-67
    • Racke, R.1    Zheng, S.2
  • 19
    • 84963166604 scopus 로고
    • On the coupled Cahn-Hilliard equations
    • W. Shen, S. Zheng, On the coupled Cahn-Hilliard equations, Comm. PDE 18 (1993) 701-727.
    • (1993) Comm. PDE , vol.18 , pp. 701-727
    • Shen, W.1    Zheng, S.2
  • 20
    • 11544280508 scopus 로고    scopus 로고
    • Global existence and asymptotic behavior of weak solution to nonlinear thermoviscoelastic system
    • to appear
    • W. Shen, S. Zheng, P. Zhu, Global existence and asymptotic behavior of weak solution to nonlinear thermoviscoelastic system, Quart. Appl. Math., to appear.
    • Quart. Appl. Math.
    • Shen, W.1    Zheng, S.2    Zhu, P.3
  • 21
    • 0024753762 scopus 로고
    • Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys
    • J. Sprekels, S. Zheng, Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys, Physica D 39 (1989) 59-76.
    • (1989) Physica D , vol.39 , pp. 59-76
    • Sprekels, J.1    Zheng, S.2
  • 22
    • 0032343438 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions to the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys
    • J. Sprekels, S. Zheng, P. Zhu, Asymptotic behavior of solutions to the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys, SIAM J. Math. Anal. 29 (1) (1998) 69-84.
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.1 , pp. 69-84
    • Sprekels, J.1    Zheng, S.2    Zhu, P.3
  • 23
    • 0003278399 scopus 로고
    • Infinite-Dimensional Dynamical Systems in Mechanics and Physics
    • Springer, New York
    • R. Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Applied Mathematical Sciences, vol. 68, Springer, New York, 1988.
    • (1988) Applied Mathematical Sciences , vol.68
    • Temam, R.1
  • 25
    • 11544267093 scopus 로고    scopus 로고
    • Multiplicity of solutions to a nonlinear boundary value problem
    • submitted
    • P. Zhu, Multiplicity of solutions to a nonlinear boundary value problem, J. Math. Anal. Appl., submitted.
    • J. Math. Anal. Appl.
    • Zhu, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.