-
1
-
-
21844492512
-
Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
-
N. Alikakos, P. Bates, X. Chen, Convergence of the Cahn-Hilliard equation to the Hele-Shaw model, Arch. Rat. Mech. Anal. 128 (1994) 165-205.
-
(1994)
Arch. Rat. Mech. Anal.
, vol.128
, pp. 165-205
-
-
Alikakos, N.1
Bates, P.2
Chen, X.3
-
2
-
-
0001643342
-
A mathematical model of dynamics of non-isothermal phase separation
-
H.W. Alt, I. Pawlow, A mathematical model of dynamics of non-isothermal phase separation, Physica D 59 (1992) 389-416.
-
(1992)
Physica D
, vol.59
, pp. 389-416
-
-
Alt, H.W.1
Pawlow, I.2
-
3
-
-
84973976275
-
Anisotropic singular perturbations - The vectorial case
-
A.C. Barroso, I. Fonseca, Anisotropic singular perturbations - the vectorial case, Proc. Roy. Soc. Edinburgh A 124 (1994) 527-571.
-
(1994)
Proc. Roy. Soc. Edinburgh A
, vol.124
, pp. 527-571
-
-
Barroso, A.C.1
Fonseca, I.2
-
4
-
-
22244435600
-
-
preprint no. 472, SFB 256 Universität Bonn
-
L. Bronsard, H. Garcke, B. Stoth, A multi-phase Mullins-Sekerka system: Matched asymptotic expansions and an implicit time discretization for the geometric evolution problem, preprint no. 472, SFB 256 Universität Bonn, 1996.
-
(1996)
A Multi-phase Mullins-Sekerka System: Matched Asymptotic Expansions and an Implicit Time Discretization for the Geometric Evolution Problem
-
-
Bronsard, L.1
Garcke, H.2
Stoth, B.3
-
6
-
-
21344488703
-
On three-phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation
-
L. Bronsard, F. Reitich, On three-phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation, Arch. Rat. Mech. Anal. 124 (1993) 355-379.
-
(1993)
Arch. Rat. Mech. Anal.
, vol.124
, pp. 355-379
-
-
Bronsard, L.1
Reitich, F.2
-
7
-
-
34250131162
-
An analysis of a phase field model of a free boundary
-
G. Caginalp, An analysis of a phase field model of a free boundary, Arch Rat. Mech. Anal. 92 (1986) 205-245.
-
(1986)
Arch Rat. Mech. Anal.
, vol.92
, pp. 205-245
-
-
Caginalp, G.1
-
8
-
-
0001314971
-
Dynamics of layered interfaces arising from phase boundaries
-
G. Caginalp, P.C. Fife, Dynamics of layered interfaces arising from phase boundaries, SIAM J. Appl. Math. 48 (1988) 506-518.
-
(1988)
SIAM J. Appl. Math.
, vol.48
, pp. 506-518
-
-
Caginalp, G.1
Fife, P.C.2
-
9
-
-
33746012315
-
Free energy of a nonuniform system I. Interfacial free energy
-
J.W. Calm, J.E. Hilliard, Free energy of a nonuniform system I. Interfacial free energy, J. Chem. Phys. 28 (1958) 258-267.
-
(1958)
J. Chem. Phys.
, vol.28
, pp. 258-267
-
-
Calm, J.W.1
Hilliard, J.E.2
-
10
-
-
21844511720
-
Evolution equations for phase separation and ordering in binary alloys
-
J.W. Cahn, A. Novick-Cohen, Evolution equations for phase separation and ordering in binary alloys, J. Stat. Phys. 76 (1994) 877-909.
-
(1994)
J. Stat. Phys.
, vol.76
, pp. 877-909
-
-
Cahn, J.W.1
Novick-Cohen, A.2
-
11
-
-
0000645957
-
An analysis of clustering and ordering in multicomponent solid solutions - I. Stability criteria
-
D. De Fontaine, An analysis of clustering and ordering in multicomponent solid solutions - I. Stability criteria, J. Phys. Chem. Solids 33 (1972) 287-310.
-
(1972)
J. Phys. Chem. Solids
, vol.33
, pp. 287-310
-
-
De Fontaine, D.1
-
12
-
-
0000161576
-
Geometrical evolution of developed interfaces
-
P. De Mottoni, M. Schatzman, Geometrical evolution of developed interfaces; Trans. Am. Math. Soc. 347 (1995) 1533-1589.
-
(1995)
Trans. Am. Math. Soc.
, vol.347
, pp. 1533-1589
-
-
De Mottoni, P.1
Schatzman, M.2
-
13
-
-
22244486652
-
Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix
-
to appear
-
C.M. Elliott, H. Garcke, Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix, Physica D, to appear.
-
Physica D
-
-
Elliott, C.M.1
Garcke, H.2
-
15
-
-
21444458744
-
The limit of the anisotropic double-obstacle Allen-Cahn equation
-
C.M. Elliott, R. Schätzle, The limit of the anisotropic double-obstacle Allen-Cahn equation, Proc. Roy. Soc. Edinburgh A 126 (1996) 1217-1234.
-
(1996)
Proc. Roy. Soc. Edinburgh A
, vol.126
, pp. 1217-1234
-
-
Elliott, C.M.1
Schätzle, R.2
-
19
-
-
4244114580
-
Renormalization group methods for critical dynamics I. Recursion relations and effects of energy conservation
-
B.I. Halperin, P.C. Hohenberg, S.-K. Ma, Renormalization group methods for critical dynamics I. Recursion relations and effects of energy conservation, Phys. Rev. B 10 (1974) 139-153.
-
(1974)
Phys. Rev. B
, vol.10
, pp. 139-153
-
-
Halperin, B.I.1
Hohenberg, P.C.2
Ma, S.-K.3
-
20
-
-
0002431632
-
Surface tension as a motivation for sintering
-
W.E. Kingston (Ed.), Chapter 8, McGraw-Hill, New York
-
C. Herring, Surface tension as a motivation for sintering, in: W.E. Kingston (Ed.), The Physics of Powder Metallurgy, Chapter 8, McGraw-Hill, New York, 1951.
-
(1951)
The Physics of Powder Metallurgy
-
-
Herring, C.1
-
21
-
-
0001099885
-
A vector thermodynamics for anisotropic surfaces - I. Fundamentals and applications to plane surface junctions
-
D.W. Hoffmann, J.W. Cahn, A vector thermodynamics for anisotropic surfaces - I. Fundamentals and applications to plane surface junctions, Sur. Sci. 31 (1972) 368-388.
-
(1972)
Sur. Sci.
, vol.31
, pp. 368-388
-
-
Hoffmann, D.W.1
Cahn, J.W.2
-
22
-
-
34249817369
-
Modelling and numerical simulation of dendritic crystal growth
-
R. Kobayashi, Modelling and numerical simulation of dendritic crystal growth, Physica D 63 (1993) 410-423.
-
(1993)
Physica D
, vol.63
, pp. 410-423
-
-
Kobayashi, R.1
-
24
-
-
0002585056
-
-
English transl.: Collected papers of L.D. Landau, Pergamon, Oxford
-
[English transl.: On the theory of superconductivity, in: D. ter Haar (Ed.), Collected papers of L.D. Landau, Pergamon, Oxford, 1965, pp. 626-633].
-
(1965)
On the Theory of Superconductivity
, pp. 626-633
-
-
Ter Haar, D.1
-
25
-
-
0003448975
-
-
Akademie Verlag, Berlin
-
L.D. Landau, E.M. Lifschitz, Lehrbuch der theoretischen Physik, Band 5, Statistische Physik Teil I, Akademie Verlag, Berlin, 1979.
-
(1979)
Lehrbuch der Theoretischen Physik, Band 5, Statistische Physik Teil I
, vol.5
-
-
Landau, L.D.1
Lifschitz, E.M.2
-
26
-
-
0000262022
-
Models of pattern formation in first-order phase transitions
-
World Scientific, Singapore
-
J.S. Langer, Models of pattern formation in first-order phase transitions, Directions in Condensed Matter Physics, World Scientific, Singapore, 1986, pp. 165-186;
-
(1986)
Directions in Condensed Matter Physics
, pp. 165-186
-
-
Langer, J.S.1
-
27
-
-
34249817369
-
-
Physica D 63 (1993) 410-423.
-
(1993)
Physica D
, vol.63
, pp. 410-423
-
-
-
28
-
-
33749855208
-
Phase field models for anisotropic interfaces
-
G.B. McFadden, A.A. Wheeler, R.J. Braun, S.R. Coriell, R.F. Sekerka, Phase field models for anisotropic interfaces, Phys. Rev. E 48 (3) (1993) 2016-2024.
-
(1993)
Phys. Rev. E
, vol.48
, Issue.3
, pp. 2016-2024
-
-
McFadden, G.B.1
Wheeler, A.A.2
Braun, R.J.3
Coriell, S.R.4
Sekerka, R.F.5
-
29
-
-
0345875566
-
Spinodal decomposition in ternary alloys
-
J.E. Morral, J.W. Cahn, Spinodal decomposition in ternary alloys, Acta Metallurgica 19 (1971) 1037-1045.
-
(1971)
Acta Metallurgica
, vol.19
, pp. 1037-1045
-
-
Morral, J.E.1
Cahn, J.W.2
-
30
-
-
22244493275
-
-
B. Nestler, M. Seeßelberg, J. Tiaden, Work in progress
-
B. Nestler, M. Seeßelberg, J. Tiaden, Work in progress.
-
-
-
-
31
-
-
45149136070
-
Thermodynamically consistent models of phase-field type for the kinetics of phase transition
-
O. Penrose, P.C. Fife, Thermodynamically consistent models of phase-field type for the kinetics of phase transition, Physica D 43 (1990) 44-62.
-
(1990)
Physica D
, vol.43
, pp. 44-62
-
-
Penrose, O.1
Fife, P.C.2
-
32
-
-
0030415167
-
YBCO Melt-processing development by numerical simulation
-
G.J. Schmitz, B. Nestler, M. Seeßelberg, YBCO Melt-processing development by numerical simulation, J. Low Temp. Phys. 105 (5/6) (1996) 1451.
-
(1996)
J. Low Temp. Phys.
, vol.105
, Issue.5-6
, pp. 1451
-
-
Schmitz, G.J.1
Nestler, B.2
Seeßelberg, M.3
-
33
-
-
4243746866
-
Peritectic and eutectic solidification: Simulations of the microstructure using the multi-phase-field method
-
Sheffield
-
M. Seeßelberg, J. Tiaden, G.J. Schmitz, I. Steinbach, Peritectic and eutectic solidification: simulations of the microstructure using the multi-phase-field method, Proceedings of Solidification Processing, Sheffield, 1997.
-
(1997)
Proceedings of Solidification Processing
-
-
Seeßelberg, M.1
Tiaden, J.2
Schmitz, G.J.3
Steinbach, I.4
-
34
-
-
34249757566
-
Convergence of the phase-field equations to the Mullins-Sekerka problem with kinetic undercooling
-
H.M. Soner, Convergence of the phase-field equations to the Mullins-Sekerka problem with kinetic undercooling, Arch. Rat. Mech. Anal. 131 (1995) 139-197.
-
(1995)
Arch. Rat. Mech. Anal.
, vol.131
, pp. 139-197
-
-
Soner, H.M.1
-
35
-
-
0030192616
-
A phase-field concept for multiphase systems
-
I. Steinbach, F. Pezolla, B. Nestler, M. Seeßelberg, R. Prieler, G.J. Schmitz, J.L.L. Rezende, A phase-field concept for multiphase systems, Physica D 94 (1996) 135-147.
-
(1996)
Physica D
, vol.94
, pp. 135-147
-
-
Steinbach, I.1
Pezolla, F.2
Nestler, B.3
Seeßelberg, M.4
Prieler, R.5
Schmitz, G.J.6
Rezende, J.L.L.7
-
36
-
-
0000482727
-
Vector-valued local minimizers of nonconvex variational problems
-
P. Sternberg, Vector-valued local minimizers of nonconvex variational problems, Rocky Mt. J. Math. 21 (2) (1991) 799-807.
-
(1991)
Rocky Mt. J. Math.
, vol.21
, Issue.2
, pp. 799-807
-
-
Sternberg, P.1
-
37
-
-
0030367361
-
A sharp interface limit of the phase field equations: One-dimensional and axisymmetric
-
B. Stoth, A sharp interface limit of the phase field equations: one-dimensional and axisymmetric, Eur. J. Appl. Math. 7 (1996) 603-634.
-
(1996)
Eur. J. Appl. Math.
, vol.7
, pp. 603-634
-
-
Stoth, B.1
-
38
-
-
0001832671
-
The multiphase-field model with an integrated concept for modelling solute diffusion
-
J. Tiaden, B. Nestler, H.J. Diepers, I. Steinbach, The multiphase-field model with an integrated concept for modelling solute diffusion, Physica D 115 (1998) 73-86.
-
(1998)
Physica D
, vol.115
, pp. 73-86
-
-
Tiaden, J.1
Nestler, B.2
Diepers, H.J.3
Steinbach, I.4
-
39
-
-
0002850821
-
The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
-
J.D. van der Waals, The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density (translation of Dutch title): Konink. Akad. Weten. Amsterdam (Section 1) vol. 1, No. 8 (1893)
-
(1893)
Konink. Akad. Weten. Amsterdam (Section 1)
, vol.1
, Issue.8
-
-
Van Der Waals, J.D.1
-
40
-
-
0346310165
-
-
English transl. (with commentary)
-
[English transl. (with commentary): J.S. Rowlinson, J. Stat. Phys. 20 (1979) 197-244].
-
(1979)
J. Stat. Phys.
, vol.20
, pp. 197-244
-
-
Rowlinson, J.S.1
-
41
-
-
4243428358
-
Thermodynamically-consistent phase-field models for solidification
-
S.-L. Wang, R.F. Sekerka, A.A. Wheeler, B.T. Murray, S.R. Coriell, R.J. Braun, G.B. McFadden, Thermodynamically-consistent phase-field models for solidification, Physica D 69 (1993) 189-200.
-
(1993)
Physica D
, vol.69
, pp. 189-200
-
-
Wang, S.-L.1
Sekerka, R.F.2
Wheeler, A.A.3
Murray, B.T.4
Coriell, S.R.5
Braun, R.J.6
McFadden, G.B.7
-
42
-
-
0000747861
-
A ξ-vector formulation of anisotropic phase-field models: 3D asymptotics
-
A.A. Wheeler, G.B. McFadden, A ξ-vector formulation of anisotropic phase-field models: 3D asymptotics, Eur. J. Appl. Math. 7 (1996) 367-381.
-
(1996)
Eur. J. Appl. Math.
, vol.7
, pp. 367-381
-
-
Wheeler, A.A.1
McFadden, G.B.2
|