메뉴 건너뛰기




Volumn 111, Issue 1-2, 1989, Pages 89-102

The gradient theory of phase transitions for systems with two potential wells

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84975994718     PISSN: 03082105     EISSN: 14737124     Source Type: Journal    
DOI: 10.1017/S030821050002504X     Document Type: Article
Times cited : (158)

References (15)
  • 1
    • 0000358405 scopus 로고
    • Structured phase transitions on a finite interval
    • J. Carr, M. E. Gurtin and M. Slemrod. Structured phase transitions on a finite interval. Arch. Rational Mech. Anal.86(1984), 317–351.
    • (1984) Arch. Rational Mech. Anal , vol.86 , pp. 317-351
    • Carr, J.1    Gurtin, M.E.2    Slemrod, M.3
  • 2
    • 0002179973 scopus 로고
    • Convergence problems for functionals and operators
    • eds. E. De Giorgi et al., Bologna: Pitagora
    • E. De Giorgi. Convergence problems for functionals and operators. In Proc. Int. Meeting on Recent Methods in Nonlinear Analysis, eds. E. De Giorgi et al., pp. 223–244 (Bologna: Pitagora, 1979).
    • (1979) Proc. Int. Meeting on Recent Methods in Nonlinear Analysis , pp. 223-244
    • De Giorgi, E.1
  • 5
    • 0021853508 scopus 로고
    • On a theory of phase transitions with interfacial energy
    • M. E. Gurtin. On a theory of phase transitions with interfacial energy. Arch. Rational Mech. Anal.87(1984), 187–212.
    • (1984) Arch. Rational Mech. Anal , vol.87 , pp. 187-212
    • Gurtin, M.E.1
  • 6
    • 0022911802 scopus 로고
    • On phase transitions with bulk, interfacial, and boundary energy
    • M. E. Gurtin. On phase transitions with bulk, interfacial, and boundary energy. Arch. Rational Mech. Anal. 96(1986), 243–264.
    • (1986) Arch. Rational Mech. Anal , vol.96 , pp. 243-264
    • Gurtin, M.E.1
  • 7
    • 0011856974 scopus 로고
    • Some results and conjectures in the gradient theory of phase transitions
    • eds. S. Antman et al., Berlin: Springer
    • M. E. Gurtin. Some results and conjectures in the gradient theory of phase transitions. In Metastability and Incompletely Posed Problems, eds. S. Antman et al., pp. 135–146 (Berlin: Springer, 1987).
    • (1987) Metastability and Incompletely Posed Problems , pp. 135-146
    • Gurtin, M.E.1
  • 9
    • 0001375248 scopus 로고
    • Asymptotic location of nodal lines using geodesic theory
    • J. J. Mahoney and J. Norbury. Asymptotic location of nodal lines using geodesic theory. J. Austral. Math. Soc. Ser. B 27(1986), 259–280.
    • (1986) J. Austral. Math. Soc. Ser , vol.B 27 , pp. 259-280
    • Mahoney, J.J.1    Norbury, J.2
  • 10
    • 34250109116 scopus 로고
    • Gradient theory of phase transitions and minimal interface criterion
    • L. Modica. Gradient theory of phase transitions and minimal interface criterion. Arch. Rational Mech. Anal.98(1987), 123–142.
    • (1987) Arch. Rational Mech. Anal , vol.98 , pp. 123-142
    • Modica, L.1
  • 11
    • 0023270989 scopus 로고
    • Existence and stability of necking deformations for nonlinear elastic rods
    • N. C. Owen. Existence and stability of necking deformations for nonlinear elastic rods. Arch. Rational Mech. Anal.98(1987), 357–383.
    • (1987) Arch. Rational Mech. Anal , vol.98 , pp. 357-383
    • Owen, N.C.1
  • 12
    • 84974164492 scopus 로고    scopus 로고
    • Nonconvex variational problems with general singular perturbations
    • to appear
    • N. C. Owen. Nonconvex variational problems with general singular perturbations. Trans. Amer. Math. Soc. (to appear).
    • Trans. Amer. Math. Soc.
    • Owen, N.C.1
  • 13
    • 84974078858 scopus 로고    scopus 로고
    • Nonconvex variational problems with anisotropic perturbations
    • to appear
    • N. C. Owen and P. Sternberg. Nonconvex variational problems with anisotropic perturbations (to appear).
    • Owen, N.C.1    Sternberg, P.2
  • 14
    • 84966210042 scopus 로고    scopus 로고
    • The effect of a singular perturbation on nonconvex variational problems
    • to appear
    • P. Sternberg. The effect of a singular perturbation on nonconvex variational problems. Arch. Rational Mech. Anal, (to appear).
    • Arch. Rational Mech. Anal
    • Sternberg, P.1
  • 15
    • 0000440966 scopus 로고
    • Compensated compactness and applications to partial differential equations
    • Research Notes in Mathematics, London: Pitman
    • L. Tartar. Compensated compactness and applications to partial differential equations. In Nonlinear analysis and mechanics: Heriot-Watt Symposium, Vol. IV, Research Notes in Mathematics 39, pp. 136–212 (London: Pitman, 1979).
    • (1979) Nonlinear analysis and mechanics: Heriot-Watt Symposium , vol.4 , Issue.39 , pp. 136-212
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.