-
1
-
-
31744435328
-
Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory
-
Zbl 1103.35051 MR 2123134
-
AGUEH, M. Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Adv. Differential Equations 10 (2005), 309-360. Zbl 1103.35051 MR 2123134
-
(2005)
Adv. Differential Equations
, vol.10
, pp. 309-360
-
-
Agueh, M.1
-
2
-
-
0027559276
-
Curvature-driven flows: A variational approach
-
Zbl 0783.35002 MR 1205983
-
ALMGREN, F., TAYLOR, J. E., & WANG, L. Curvature-driven flows: a variational approach. SIAM J. Control Optim. 31 (1993), 387-438. Zbl 0783.35002 MR 1205983
-
(1993)
SIAM J. Control Optim.
, vol.31
, pp. 387-438
-
-
Almgren, F.1
Taylor, J.E.2
Wang, L.3
-
3
-
-
0003282839
-
Functions of bounded variation and free discontinuity problems
-
Oxford Univ. Press, Zbl 0957.49001 MR 1857292
-
AMBROSIO, L., FUSCO, N., & PALLARA, D. Functions of Bounded Variation and Free Discontinuity Problems. Oxford Math. Monogr., Oxford Univ. Press (2000). Zbl 0957.49001 MR 1857292
-
(2000)
Oxford Math. Monogr.
-
-
Ambrosio, L.1
Fusco, N.2
Pallara, D.3
-
4
-
-
31744443874
-
-
Lectures in Math. ETH Zürich, Birkhäuser, Zbl 1090.35002 MR 2129498
-
AMBROSIO, L., GIGLI, N., & SAVARÉ, G. Gradient Flows in Metric Spaces and in the Space of Probability Measures. Lectures in Math. ETH Zürich, Birkhäuser (2005). Zbl 1090.35002 MR 2129498
-
(2005)
Gradient Flows in Metric Spaces and in the Space of Probability Measures
-
-
Ambrosio, L.1
Gigli, N.2
Savaré, G.3
-
5
-
-
0034407460
-
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
-
Zbl 0968.76069 MR 1738163
-
BENAMOU, J.-D., & BRENIER, Y. A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Numer. Math. 84 (2000), 375-393. Zbl 0968.76069 MR 1738163
-
(2000)
Numer. Math.
, vol.84
, pp. 375-393
-
-
Benamou, J.-D.1
Brenier, Y.2
-
7
-
-
72449206831
-
Free boundaries in optimal transport and Monge-Ampère obstacle problems
-
to appear
-
CAFFARELLI, L. A., & MCCANN, R. J. Free boundaries in optimal transport and Monge-Ampère obstacle problems. Ann. of Math., to appear.
-
Ann. of Math.
-
-
Caffarelli, L.A.1
Mccann, R.J.2
-
8
-
-
32544445429
-
Contractions in the 2-Wasserstein length space and thermalization of granular media
-
Zbl 1082.76105 MR 2209130
-
CARRILLO, J. A., MCCANN, R. J., & VILLANI, C. Contractions in the 2-Wasserstein length space and thermalization of granular media. Arch. Ration. Mech. Anal. 179 (2006), 217-263. Zbl 1082.76105 MR 2209130
-
(2006)
Arch. Ration. Mech. Anal.
, Issue.179
, pp. 217-263
-
-
Carrillo, J.A.1
Mccann, R.J.2
Villani, C.3
-
10
-
-
0034250733
-
Asymptotic results for the Stefan problem with kinetic undercooling
-
Zbl 0998.80004 MR 1777189
-
EVANS, J. D., & KING, J. R. Asymptotic results for the Stefan problem with kinetic undercooling. Quart. J. Mech. Appl. Math. 53 (2000), 449-473. Zbl 0998.80004 MR 1777189
-
(2000)
Quart. J. Mech. Appl. Math.
, vol.53
, pp. 449-473
-
-
Evans, J.D.1
King, J.R.2
-
11
-
-
0033697983
-
A generalized Stefan problem in a diffusion model with evaporation
-
Zbl 0949.35147 MR 1760029
-
VAN DE FLIERT, B. W., & VAN DER HOUT, R. A generalized Stefan problem in a diffusion model with evaporation. SIAM J. Appl. Math. 60 (2000), 1128-1136. Zbl 0949.35147 MR 1760029
-
(2000)
SIAM J. Appl. Math.
, vol.60
, pp. 1128-1136
-
-
Van De Fliert, B.W.1
Van Der Hout, R.2
-
13
-
-
0346491845
-
Variational formulation for the lubrication approximation of the Hele-Shaw flow
-
Zbl 1086.35004 MR 1865003
-
GIACOMELLI, L., & OTTO, F. Variational formulation for the lubrication approximation of the Hele- Shaw flow. Calc. Var. Partial Differential Equations 13 (2001), 377-403. Zbl 1086.35004 MR 1865003
-
(2001)
Calc. Var. Partial Differential Equations
, vol.13
, pp. 377-403
-
-
Giacomelli, L.1
Otto, F.2
-
14
-
-
0242276328
-
A diffuse interface approach to Hele-Shaw flow
-
Zbl 1138.76340 MR 1950775
-
GLASNER, K. A diffuse interface approach to Hele-Shaw flow. Nonlinearity 16 (2003), 49-66. Zbl 1138.76340 MR 1950775
-
(2003)
Nonlinearity
, vol.16
, pp. 49-66
-
-
Glasner, K.1
-
15
-
-
0032343437
-
The variational formulation of the Fokker-Planck equation
-
Zbl 0915.35120 MR 1617171
-
JORDAN, R., KINDERLEHRER, D., & OTTO, F. The variational formulation of the Fokker-Planck equation. SIAM J. Math. Anal. 29 (1998), 1-17. Zbl 0915.35120 MR 1617171
-
(1998)
SIAM J. Math. Anal.
, vol.29
, pp. 1-17
-
-
Jordan, R.1
Kinderlehrer, D.2
Otto, F.3
-
16
-
-
0021757558
-
Etching: A two-dimensional mathematical approach
-
MR 0738928
-
KUIKEN, H. K. Etching: A two-dimensional mathematical approach. Proc. Roy. Soc. London Ser. A 392 (1802) (1984), 199-225. MR 0738928
-
(1802)
Proc. Roy. Soc. London Ser.
, vol.A 392
, pp. 199-225
-
-
Kuiken, H.K.1
-
17
-
-
2442455403
-
-
Preprint 2, Sezione di Analisi Matematica e Probabilità, Università di Pisa
-
LUCKHAUS, S. The Stefan problem with Gibbs Thomson law. Preprint 2 (1991), Sezione di Analisi Matematica e Probabilità, Università di Pisa.
-
(1991)
The Stefan problem with Gibbs Thomson law
-
-
Luckhaus, S.1
-
18
-
-
0000850415
-
Implicit time discretization for the mean curvature flow equation
-
Zbl 0821.35003 MR 1386964
-
LUCKHAUS, S., & STURZENHECKER, T. Implicit time discretization for the mean curvature flow equation. Calc. Var. Partial Differential Equations 3 (1995), 253-271. Zbl 0821.35003 MR 1386964
-
(1995)
Calc. Var. Partial Differential Equations
, vol.3
, pp. 253-271
-
-
Luckhaus, S.1
Sturzenhecker, T.2
-
19
-
-
0031161793
-
A convexity principle for interacting gases
-
Zbl 0901.49012 MR 1451422
-
MCCANN, R. J. A convexity principle for interacting gases. Adv. Math. 128 (1997), 153-179. Zbl 0901.49012 MR 1451422
-
(1997)
Adv. Math.
, vol.128
, pp. 153-179
-
-
Mccann, R.J.1
-
21
-
-
0032368806
-
Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory
-
Zbl 0905.35068 MR 1613500
-
OTTO, F. Dynamics of labyrinthine pattern formation in magnetic fluids: a mean-field theory. Arch. Ration. Mech. Anal. 141 (1998), 63-103. Zbl 0905.35068 MR 1613500
-
(1998)
Arch. Ration. Mech. Anal.
, vol.141
, pp. 63-103
-
-
Otto, F.1
-
22
-
-
0007245075
-
Lubrication approximation with prescribed nonzero contact angle
-
Zbl 0923.35211 MR 1662172
-
OTTO, F. Lubrication approximation with prescribed nonzero contact angle. Comm. Partial Differential Equations 23 (1998), 2077-2164. Zbl 0923.35211 MR 1662172
-
(1998)
Comm. Partial Differential Equations
, vol.23
, pp. 2077-2164
-
-
Otto, F.1
-
23
-
-
0001560970
-
The geometry of dissipative evolution equations: The porous medium equation
-
Zbl 0984.35089 MR 1842429
-
OTTO, F. The geometry of dissipative evolution equations: The porous medium equation. Comm. Partial Differential Equations 26 (2001), 101-174. Zbl 0984.35089 MR 1842429
-
(2001)
Comm. Partial Differential Equations
, vol.26
, pp. 101-174
-
-
Otto, F.1
-
24
-
-
0004267646
-
-
Princeton Univ. Press, Zbl 0193.18401 MR 0274683
-
ROCKAFELLAR, R. T. Convex Analysis. Princeton Univ. Press (1970). Zbl 0193.18401 MR 0274683
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
25
-
-
1642380895
-
Solutions for the Stefan problem with Gibbs-Thomson law by a local minimisation
-
RÖGER, M. Solutions for the Stefan problem with Gibbs-Thomson law by a local minimisation. Interfaces Free Bound. 6 (2004), 105-133. Zbl 1050.35155 MR 2047075 (Pubitemid 38614924)
-
(2004)
Interfaces and Free Boundaries
, vol.6
, Issue.1
, pp. 105-133
-
-
Roger, M.1
-
26
-
-
84893433913
-
-
P. Neittaanmäki et al. (eds.), Proceedings of European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Jyväskylä
-
SUDIRHAM, J. J., VAN DAMME, R. M. J., & VAN DER VEGT, J. J. W. Space-time discontinuous Galerkin method for wet-chemical etching of microstructures. In: P. Neittaanmäki et al. (eds.), Proceedings of European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Jyväskylä, 2004.
-
(2004)
Space-Time Discontinuous Galerkin Method for Wet-Chemical Etching of Microstructures
-
-
Sudirham, J.J.1
Van Damme, R.M.J.2
Van Der Vegt, J.J.W.3
-
27
-
-
42149096018
-
A Stefan problem modelling crystal dissolution and precipitation
-
Zbl 1153.80004 MR 2411490
-
VAN NOORDEN, T. L., & POP, I. S. A Stefan problem modelling crystal dissolution and precipitation. IMA J. Appl. Math. 73 (2008), 393-411. Zbl 1153.80004 MR 2411490
-
(2008)
IMA J. Appl. Math.
, Issue.73
, pp. 393-411
-
-
Van Noorden, T.L.1
Pop, I.S.2
-
29
-
-
1542342359
-
Topics in optimal transportation
-
Zbl 1106.90001 MR 1964483
-
VILLANI, C. Topics in Optimal Transportation. Amer. Math. Soc. (2003). Zbl 1106.90001 MR 1964483
-
(2003)
Amer. Math. Soc.
-
-
Villani, C.1
-
30
-
-
37349070894
-
-
Grundlehren Math. Wiss, Springer, Berlin, Zbl 1156.53003
-
VILLANI, C. Optimal Transport: Old and New. Grundlehren Math. Wiss. 338, Springer, Berlin (2009). Zbl 1156.53003
-
(2009)
Optimal Transport: Old and New
, vol.338
-
-
Villani, C.1
|