메뉴 건너뛰기




Volumn 19, Issue 2, 2000, Pages 415-428

Weierstrass-type maximum principle for microstructure in micromagnetics

Author keywords

Calculus of variations; Convexification; Ferromagnetism; Micromagnetics; Optimality conditions; Relaxation; Young measures

Indexed keywords


EID: 23044520267     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (30)
  • 2
    • 0000093666 scopus 로고
    • A version of the fundamental theorem for Young measures
    • Ball, J. M.: A version of the fundamental theorem for Young measures. Lect. Notes Phys. 344 (1989), 207 - 215.
    • (1989) Lect. Notes Phys. , vol.344 , pp. 207-215
    • Ball, J.M.1
  • 7
    • 26444438951 scopus 로고    scopus 로고
    • Numerical approximation of Young measures in non-convex variational problems
    • Carstensen, C. and T. Roubíček: Numerical approximation of Young measures in non-convex variational problems. Num. Math. 122 (1999).
    • (1999) Num. Math. , vol.122
    • Carstensen, C.1    Roubíček, T.2
  • 8
    • 0001246325 scopus 로고
    • Equilibrium configurations of crystals
    • Chipot, M. and D. Kinderlehrer: Equilibrium configurations of crystals. Arch. Rat. Mech. Anal. 103 (1988), 237 - 277.
    • (1988) Arch. Rat. Mech. Anal. , vol.103 , pp. 237-277
    • Chipot, M.1    Kinderlehrer, D.2
  • 9
    • 0039657059 scopus 로고    scopus 로고
    • Bounds on the micromagnetic energy of a uniaxial ferromagnet
    • Choksi, R. and R. V. Kohn: Bounds on the micromagnetic energy of a uniaxial ferromagnet. Comm. Pure Appl. Math. 55 (1998), 259 - 289.
    • (1998) Comm. Pure Appl. Math. , vol.55 , pp. 259-289
    • Choksi, R.1    Kohn, R.V.2
  • 10
    • 0004102099 scopus 로고
    • Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals
    • Dacorogna, B.: Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals. Lect. Notes Math. 922 (1982).
    • (1982) Lect. Notes Math. , vol.922
    • Dacorogna, B.1
  • 12
    • 34249770495 scopus 로고
    • Energy minimizers for large ferromagnetic bodies
    • DeSimone, A.: Energy minimizers for large ferromagnetic bodies. Arch. Rat. Mech. Anal. 125 (1993), 99 - 143.
    • (1993) Arch. Rat. Mech. Anal. , vol.125 , pp. 99-143
    • Desimone, A.1
  • 16
  • 17
    • 0001845975 scopus 로고
    • Internal variables and fine scale oscillations in micromagnetics
    • James, R. D. and S. Müller: Internal variables and fine scale oscillations in micromagnetics. Cont. Mech. Thermodyn. 6 (1994), 291 - 336.
    • (1994) Cont. Mech. Thermodyn. , vol.6 , pp. 291-336
    • James, R.D.1    Müller, S.2
  • 18
    • 0003021111 scopus 로고    scopus 로고
    • The hysteretic event in the computation of magnetization
    • Kinderlehrer, D. and L. Ma: The hysteretic event in the computation of magnetization. J. Nonlin. Sci. 7 (1997), 101 - 128.
    • (1997) J. Nonlin. Sci. , vol.7 , pp. 101-128
    • Kinderlehrer, D.1    Ma, L.2
  • 21
    • 0004004657 scopus 로고
    • Leyden: Noordhoff Int. Publ. 1977, and Prague: Academia
    • Kufner, A., John, O. and S. Fučík: Function Spaces. Leyden: Noordhoff Int. Publ. 1977, and Prague: Academia 1977.
    • (1977) Function Spaces
    • Kufner, A.1    John, O.2    Fučík, S.3
  • 22
    • 0000060534 scopus 로고
    • On the theory of the dispersion of magnetic permeability of ferromagnetic bodies
    • Landau, L. D. and E. M. Lifshitz: On the theory of the dispersion of magnetic permeability of ferromagnetic bodies. Physik Z. Sowjetunion 8 (1935), 153 - 169.
    • (1935) Physik Z. Sowjetunion , vol.8 , pp. 153-169
    • Landau, L.D.1    Lifshitz, E.M.2
  • 23
    • 0000938126 scopus 로고
    • On the magnetic structure of iron
    • Lifschitz, E. M.: On the magnetic structure of iron. J. Phys. USSR 8 (1944), 337 - 346.
    • (1944) J. Phys. USSR , vol.8 , pp. 337-346
    • Lifschitz, E.M.1
  • 24
    • 34249763463 scopus 로고
    • Relaxation in ferromagnetism: The rigid case
    • Pedregal, P.: Relaxation in ferromagnetism: the rigid case. J. Nonlin. Sci. 4 (1994), 105-125.
    • (1994) J. Nonlin. Sci. , vol.4 , pp. 105-125
    • Pedregal, P.1
  • 26
    • 0032070043 scopus 로고    scopus 로고
    • Equilibrium conditions for Young measures
    • Pedregal, P.: Equilibrium conditions for Young measures. SIAM J. Control Optim. 36 (1997), 797-813.
    • (1997) SIAM J. Control Optim. , vol.36 , pp. 797-813
    • Pedregal, P.1
  • 27
    • 0001844463 scopus 로고
    • A nonlocal model for the exchange energy in ferromagnetic materials
    • Rogers, R. C.: A nonlocal model for the exchange energy in ferromagnetic materials. J. Int. Equ. Appl. 3 (1991), 85 - 127.
    • (1991) J. Int. Equ. Appl. , vol.3 , pp. 85-127
    • Rogers, R.C.1
  • 29
    • 0000653587 scopus 로고
    • Beyond Young measures
    • Tartar, L.: Beyond Young measures. Meccanica 30 (1995), 505 - 526.
    • (1995) Meccanica , vol.30 , pp. 505-526
    • Tartar, L.1
  • 30
    • 0001331327 scopus 로고
    • Generalized curves and existence of an attained absolute minimum in the calculus of variations
    • Young, L. C.: Generalized curves and existence of an attained absolute minimum in the calculus of variations. Comptes Rendus de la Société et des Lettres de Varsovie (Classe III) 30 (1937), 212 - 234.
    • (1937) Comptes Rendus de la Société et des Lettres de Varsovie (Classe III) , vol.30 , pp. 212-234
    • Young, L.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.