메뉴 건너뛰기




Volumn 43, Issue 1, 2011, Pages 114-134

Upper bounds on coarsening rates in demixing binary viscous liquids

Author keywords

Cahn hilliard; Coarsening; Stokes; Transportation distance; Viscous liquid

Indexed keywords

CAHN-HILLIARD; COARSENING PROCESS; COARSENING RATES; DE-MIXING; INTERFACE MODEL; INTRINSIC DISTANCES; LENGTH SCALE; POWER LAW; RECONDENSATION; STOKES; TEMPERATURE QUENCH; TRANSPORTATION DISTANCE; UPPER BOUND; VISCOUS LIQUIDS;

EID: 79952304925     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/090775142     Document Type: Article
Times cited : (34)

References (29)
  • 1
    • 0000089158 scopus 로고
    • Hydrodynamic spinodal decomposition: Growth kinetics and scaling functions
    • F. J. Alexander, S. Chen, and D. W. Grunau, Hydrodynamic spinodal decomposition: Growth kinetics and scaling functions, Phys. Rev. B, 48 (1993), pp. 634-637.
    • (1993) Phys. Rev. B , vol.48 , pp. 634-637
    • Alexander, F.J.1    Chen, S.2    Grunau, D.W.3
  • 3
    • 0036507575 scopus 로고    scopus 로고
    • Theory of phase-ordering kinetics
    • DOI 10.1080/00018730110117433, Classic Articles V
    • A. J. Bray, Theory of phase-ordering kinetics, Adv. Phys., 51 (2002), pp. 481-587. (Pubitemid 34586322)
    • (2002) Advances in Physics , vol.51 , Issue.2 , pp. 481-587
    • Bray, A.J.1
  • 4
    • 84859548570 scopus 로고    scopus 로고
    • A lemma and a conjecture on the cost of rearrangements
    • A. Bressan, A lemma and a conjecture on the cost of rearrangements, Rend. Sem. Mat. Univ. Padova, 110 (2003), pp. 97-102.
    • (2003) Rend. Sem. Mat. Univ. Padova , vol.110 , pp. 97-102
    • Bressan, A.1
  • 5
    • 0000488909 scopus 로고
    • Phase separation and coalescence in critically quenched isobutyric-acid-water and 2, 6-lutidine-water mixtures
    • Y. C. Chou and W. I. Goldburg, Phase separation and coalescence in critically quenched isobutyric-acid-water and 2, 6-lutidine-water mixtures, Phys. Rev. A, 20 (1979), pp. 2105- 2113.
    • (1979) Phys. Rev. A , vol.20 , pp. 2105-2113
    • Chou, Y.C.1    Goldburg, W.I.2
  • 7
    • 44949219227 scopus 로고    scopus 로고
    • Estimates and regularity results for the DiPerna-Lions flow
    • G. Crippa and C. De Lellis, Estimates and regularity results for the DiPerna-Lions flow, J. Reine Angew. Math., 616 (2008), pp. 15-46.
    • (2008) J. Reine Angew. Math. , vol.616 , pp. 15-46
    • Crippa, G.1    De Lellis, C.2
  • 8
    • 77957252605 scopus 로고    scopus 로고
    • Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag
    • S. Dai, B. Niethammer, and R. L. Pego, Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag, Proc. Roy. Soc. Edinburgh Sect. A, 140 (2010), pp. 553-571.
    • (2010) Proc. Roy. Soc. Edinburgh Sect. A , vol.140 , pp. 553-571
    • Dai, S.1    Niethammer, B.2    Pego, R.L.3
  • 9
    • 33644948618 scopus 로고    scopus 로고
    • Universal bounds on coarsening rates for mean-field models of phase transitions
    • S. Dai and R. L. Pego, Universal bounds on coarsening rates for mean-field models of phase transitions, SIAM J. Math. Anal., 37 (2005), pp. 347-371.
    • (2005) SIAM J. Math. Anal. , vol.37 , pp. 347-371
    • Dai, S.1    Pego, R.L.2
  • 10
    • 22544463633 scopus 로고    scopus 로고
    • An upper bound on the coarsening rate for mushy zones in a phase-field model
    • S. Dai and R. L. Pego, An upper bound on the coarsening rate for mushy zones in a phase-field model, Interfaces Free Bound., 7 (2005), pp. 187-197. (Pubitemid 41018938)
    • (2005) Interfaces and Free Boundaries , vol.7 , Issue.2 , pp. 187-197
    • Dai, S.1    Pego, R.L.2
  • 11
    • 58149355515 scopus 로고    scopus 로고
    • Upper bounds on the coarsening rate of discrete, ill-posed nonlinear diffusion equations
    • S. Esedoḡlu and J. B. Greer, Upper bounds on the coarsening rate of discrete, ill-posed nonlinear diffusion equations, Comm. Pure Appl. Math., 62 (2009), pp. 57-81.
    • (2009) Comm. Pure Appl. Math. , vol.62 , pp. 57-81
    • Esedoglu, S.1    Greer, J.B.2
  • 12
    • 58149337150 scopus 로고    scopus 로고
    • Refined upper bounds on the coarsening rate of discrete, illposed diffusion equations
    • S. Esedoḡlu and D. Slepčev, Refined upper bounds on the coarsening rate of discrete, illposed diffusion equations, Nonlinearity, 21 (2008), pp. 2759-2776.
    • (2008) Nonlinearity , vol.21 , pp. 2759-2776
    • Esedoglu, S.1    Slepčev, D.2
  • 13
    • 0038394375 scopus 로고    scopus 로고
    • Coarsening dynamics of dewetting films
    • article 016302
    • K. B. Glasner and T. P. Witelski, Coarsening dynamics of dewetting films, Phys. Rev. E, 67 (2003), article 016302.
    • (2003) Phys. Rev. E , vol.67
    • Glasner, K.B.1    Witelski, T.P.2
  • 14
    • 33745814205 scopus 로고
    • Late stage dynamics of spinodal decomposition in binary fluid mixtures
    • T. Koga and K. Kawasaki, Late stage dynamics of spinodal decomposition in binary fluid mixtures, Phys. A, 196 (1993), pp. 389-415.
    • (1993) Phys. A , vol.196 , pp. 389-415
    • Koga, T.1    Kawasaki, K.2
  • 15
    • 0036025749 scopus 로고    scopus 로고
    • Upper bounds on coarsening rates
    • DOI 10.1007/s00220-002-0693-4
    • R. V. Kohn and F. Otto, Upper bounds on coarsening rates, Comm. Math. Phys., 229 (2002), pp. 375-395. (Pubitemid 36185804)
    • (2002) Communications in Mathematical Physics , vol.229 , Issue.3 , pp. 375-395
    • Kohn, R.V.1    Otto, F.2
  • 16
    • 1142288239 scopus 로고    scopus 로고
    • Upper Bound on the Coarsening Rate for an Epitaxial Growth Model
    • DOI 10.1002/cpa.10103
    • R. V. Kohn and X. Yan, Upper bound on the coarsening rate for an epitaxial growth model, Comm. Pure Appl. Math., 56 (2003), pp. 1549-1564. (Pubitemid 38614630)
    • (2003) Communications on Pure and Applied Mathematics , vol.56 , Issue.11 , pp. 1549-1564
    • Kohn, R.V.1    Yan, X.2
  • 17
    • 1642286483 scopus 로고    scopus 로고
    • Coarsening rates for models of multicomponent phase separation
    • R. V. Kohn and X. Yan, Coarsening rates for models of multicomponent phase separation, Interfaces Free Bound., 6 (2004), pp. 135-149.
    • (2004) Interfaces Free Bound. , vol.6 , pp. 135-149
    • Kohn, R.V.1    Yan, X.2
  • 18
    • 33947231538 scopus 로고    scopus 로고
    • Coarsening rates for a droplet model: Rigorous upper bounds
    • DOI 10.1137/050630192
    • F. Otto, T. Rump, and D. Slepčev, Coarsening rates for a droplet model: Rigorous upper bounds, SIAM J. Math. Anal., 38 (2006), pp. 503-529. (Pubitemid 46432365)
    • (2006) SIAM Journal on Mathematical Analysis , vol.38 , Issue.2 , pp. 503-529
    • Otto, F.1    Rump, T.2    Slepcev, D.3
  • 20
    • 0000685719 scopus 로고
    • Temporally linear domain growth in the segregation of binary fluids
    • S. Puri and B. Dünweg, Temporally linear domain growth in the segregation of binary fluids, Phys. Rev. A, 45 (1992), pp. R6977-R6980.
    • (1992) Phys. Rev. A , vol.45
    • Puri, S.1    Dünweg, B.2
  • 22
    • 0001137528 scopus 로고
    • Late stages of spinodal decomposition in binary mixtures
    • E. D. Siggia, Late stages of spinodal decomposition in binary mixtures, Phys. Rev. A, 20 (1979), pp. 595-605.
    • (1979) Phys. Rev. A , vol.20 , pp. 595-605
    • Siggia, E.D.1
  • 23
    • 67650082431 scopus 로고    scopus 로고
    • Coarsening in nonlocal interfacial systems
    • D. Slepčev, Coarsening in nonlocal interfacial systems, SIAM J. Math. Anal., 40 (2008), pp. 1029-1048.
    • (2008) SIAM J. Math. Anal. , vol.40 , pp. 1029-1048
    • Slepčev, D.1
  • 24
    • 0003201639 scopus 로고
    • Singular integrals and differentiability properties of functions
    • Princeton University Press, Princeton, NJ
    • E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Math. Ser. 30, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Princeton Math. Ser. , vol.30
    • Stein, E.M.1
  • 25
    • 0002219951 scopus 로고
    • Spinodal decomposition in a three-dimensional fluid model
    • O. T. Valls and J. E. Farrell, Spinodal decomposition in a three-dimensional fluid model, Phys. Rev. E, 47 (1993), pp. R36-R39.
    • (1993) Phys. Rev. E , vol.47
    • Valls, O.T.1    Farrell, J.E.2
  • 26
    • 1542342359 scopus 로고    scopus 로고
    • Topics in optimal transportation
    • AMS, Providence, RI
    • C. Villani, Topics in Optimal Transportation, Grad. Stud. Math. 58, AMS, Providence, RI, 2003.
    • (2003) Grad. Stud. Math. , vol.58
    • Villani, C.1
  • 27
    • 59949100627 scopus 로고    scopus 로고
    • Optimal transport. Old and new
    • Springer, Berlin
    • C. Villani, Optimal Transport. Old and New, Grundlehren Math. Wiss. 338, Springer, Berlin, 2009.
    • (2009) Grundlehren Math. Wiss. , vol.338
    • Villani, C.1
  • 28
    • 36749109420 scopus 로고
    • Light scattering studies of phase separation in isobutyric acid + water mixtures
    • N.-C. Wong and C. M. Knobler, Light scattering studies of phase separation in isobutyric acid + water mixtures, J. Chem. Phys., 69 (1978), pp. 725-735.
    • (1978) J. Chem. Phys. , vol.69 , pp. 725-735
    • Wong, N.-C.1    Knobler, C.M.2
  • 29
    • 30344466489 scopus 로고
    • Light-scattering studies of phase separation in isobutyric acid + water mixtures: Hydrodynamic effects
    • N.-C. Wong and C. M. Knobler, Light-scattering studies of phase separation in isobutyric acid + water mixtures: Hydrodynamic effects, Phys. Rev. A, 24 (1981), pp. 3205-3211.
    • (1981) Phys. Rev. A , vol.24 , pp. 3205-3211
    • Wong, N.-C.1    Knobler, C.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.