메뉴 건너뛰기




Volumn 21, Issue 12, 1998, Pages 1085-1105

Regularity and convergence results for a phase-field model with memory

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; HEAT FLUX; NONLINEAR EQUATIONS;

EID: 0032142504     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(199808)21:12<1085::AID-MMA986>3.0.CO;2-6     Document Type: Article
Times cited : (16)

References (22)
  • 1
    • 0002019044 scopus 로고    scopus 로고
    • Existence and asymptotic results for a system of integro-partial differential equations
    • Aizicovici, S. and Barbu, V., Existence and asymptotic results for a system of integro-partial differential equations, NoDEA Nonlinear Differential Equations Appl. 3, 1-8 (1996).
    • (1996) NoDEA Nonlinear Differential Equations Appl. , vol.3 , pp. 1-8
    • Aizicovici, S.1    Barbu, V.2
  • 2
    • 0000223804 scopus 로고
    • Sulle equazioni differenziali astratte lineari del primo e del secondo ordine in spazi di Hilbert
    • Baiocchi, C., Sulle equazioni differenziali astratte lineari del primo e del secondo ordine in spazi di Hilbert, Ann. Mat. Pura Appl., 76 (4), 233-304 (1967).
    • (1967) Ann. Mat. Pura Appl. , vol.76 , Issue.4 , pp. 233-304
    • Baiocchi, C.1
  • 5
    • 84875341734 scopus 로고    scopus 로고
    • Global solution to a phase-field model with memory and quadratic nonlinearity
    • to appear
    • Bonfanti, G., Luterotti, F., Global solution to a phase-field model with memory and quadratic nonlinearity, Adv. Math. Sci. Appl., to appear.
    • Adv. Math. Sci. Appl.
    • Bonfanti, G.1    Luterotti, F.2
  • 6
    • 0003282411 scopus 로고
    • Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
    • North-Holland, Amsterdam
    • Brézis, H., Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. North-Holland Math. Studies, Vol. 5, North-Holland, Amsterdam, 1973.
    • (1973) North-Holland Math. Studies , vol.5
    • Brézis, H.1
  • 7
    • 34250131162 scopus 로고
    • An analysis of a phase field model of a free boundary
    • Caginalp, G., An analysis of a phase field model of a free boundary, Arch. Rational Mech. Anal., 92, 205-245 (1986).
    • (1986) Arch. Rational Mech. Anal. , vol.92 , pp. 205-245
    • Caginalp, G.1
  • 8
    • 0000522482 scopus 로고
    • Equipresence and constitutive equations for rigid heat conductor
    • Coleman, B. D., Gurtin, M. E., Equipresence and constitutive equations for rigid heat conductor, Z. Angew. Math. Phys. 18, 199-208 (1967).
    • (1967) Z. Angew. Math. Phys. , vol.18 , pp. 199-208
    • Coleman, B.D.1    Gurtin, M.E.2
  • 9
    • 0000361536 scopus 로고    scopus 로고
    • Global smooth solution to the standard phase-field model with memory
    • Colli, P., Gilardi, G., and Grasselli, M., Global smooth solution to the standard phase-field model with memory, Adv. Differential Equations, 2, 453-486 (1997).
    • (1997) Adv. Differential Equations , vol.2 , pp. 453-486
    • Colli, P.1    Gilardi, G.2    Grasselli, M.3
  • 10
    • 0000361534 scopus 로고    scopus 로고
    • Well-posedness of the weak formulation for the phase-field Model with memory
    • Colli, P., Gilardi, G., and Grasselli, M., Well-posedness of the weak formulation for the phase-field Model with memory, Adv. Differential Eqiations, 2, 487-508 (1997)
    • (1997) Adv. Differential Eqiations , vol.2 , pp. 487-508
    • Colli, P.1    Gilardi, G.2    Grasselli, M.3
  • 13
    • 0001092522 scopus 로고    scopus 로고
    • Phase field models for free boundary problems
    • A. Fasano and M. Primicerio eds.
    • Fix, G. J., Phase field models for free boundary problems, in Free Boundary problems. Theory and Applications, Vol. II (A. Fasano and M. Primicerio eds.), pp. 580-589, Pitman Res. Notes Math. Ser., Vol. 79, Longman, London, 1983.
    • Free Boundary Problems. Theory and Applications , vol.2 , pp. 580-589
    • Fix, G.J.1
  • 14
    • 11644257107 scopus 로고
    • Longman, London
    • Fix, G. J., Phase field models for free boundary problems, in Free Boundary problems. Theory and Applications, Vol. II (A. Fasano and M. Primicerio eds.), pp. 580-589, Pitman Res. Notes Math. Ser., Vol. 79, Longman, London, 1983.
    • (1983) Pitman Res. Notes Math. Ser. , vol.79
  • 16
    • 0003003928 scopus 로고
    • Thermodynamic properties and stability for the heal flux equation with linear memory
    • Gentili, G. and Giorgi, C., Thermodynamic properties and stability for the heal flux equation with linear memory, Quart. Appl. Math. 51, 343-367 (1993).
    • (1993) Quart. Appl. Math. , vol.51 , pp. 343-367
    • Gentili, G.1    Giorgi, C.2
  • 17
    • 34250511985 scopus 로고
    • A general theory of heat conduction with finite wave speeds
    • Gurtin, M. E. and Pipkin, A. C., A general theory of heat conduction with finite wave speeds, Arch. Rational Mech. Anal., 31, 113-126 (1968).
    • (1968) Arch. Rational Mech. Anal. , vol.31 , pp. 113-126
    • Gurtin, M.E.1    Pipkin, A.C.2
  • 18
    • 38149146224 scopus 로고
    • Evolution systems of nonlinear variational inequalities arising phase change problems
    • Kenmochi, N., Niezgódka, M., Evolution systems of nonlinear variational inequalities arising phase change problems, Nonlin. Anal., 22, 1163-1180 (1994).
    • (1994) Nonlin. Anal. , vol.22 , pp. 1163-1180
    • Kenmochi, N.1    Niezgódka, M.2
  • 19
    • 21344432750 scopus 로고    scopus 로고
    • Long-time behaviour for a model of phase-field type
    • Laurençot, Ph., Long-time behaviour for a model of phase-field type, Proc. Roy. Soc. Edinburgh. 126A, 167-185 (1996).
    • (1996) Proc. Roy. Soc. Edinburgh , vol.126 A , pp. 167-185
    • Laurençot, Ph.1
  • 21
    • 45149136070 scopus 로고
    • Thermodynamically consistent models of phase field type for the kinetics of phase transitions
    • Penrose, O. and Fife, P C., Thermodynamically consistent models of phase field type for the kinetics of phase transitions, Physica D, 43, 44-62 (1990).
    • (1990) Physica D , vol.43 , pp. 44-62
    • Penrose, O.1    Fife, P.C.2
  • 22
    • 34250112428 scopus 로고
    • Compact sets in L′(0, T: B)
    • Simon, J., Compact sets in L′(0, T: B), Ann. Mat. Pura Appl., (4) 146, 65-96 (1987).
    • (1987) Ann. Mat. Pura Appl., (4) , vol.146 , pp. 65-96
    • Simon, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.