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Volumn 84, Issue 3, 2000, Pages 375-393

A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

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EID: 0034407460     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050002     Document Type: Article
Times cited : (1519)

References (38)
  • 1
    • 0003356898 scopus 로고    scopus 로고
    • Topological methods in hydrodynamics
    • Springer, New York
    • Arnold, V.I., Khesin, B. (1998) Topological methods in hydrodynamics. Appl. Math. Sci., vol. 125. Springer, New York
    • (1998) Appl. Math. Sci. , vol.125
    • Arnold, V.I.1    Khesin, B.2
  • 2
    • 0022676208 scopus 로고
    • A competitive (dual) simplex method for the assignment problem
    • Balinski, M. (1986) A competitive (dual) simplex method for the assignment problem. Math. Programming 34, no. 2, 125-141
    • (1986) Math. Programming , vol.34 , Issue.2 , pp. 125-141
    • Balinski, M.1
  • 3
    • 0032222141 scopus 로고    scopus 로고
    • Optimal Young's inequality and its converse: A simple proof
    • Barthe, F. (1998) Optimal Young's inequality and its converse: a simple proof. Geom. Funct. Anal. 8, no. 2, 234-242
    • (1998) Geom. Funct. Anal. , vol.8 , Issue.2 , pp. 234-242
    • Barthe, F.1
  • 4
    • 0039211243 scopus 로고
    • A domain decomposition method for the polar factorization of vector-valued mappings
    • Benamou, J.-D. (1995) A domain decomposition method for the polar factorization of vector-valued mappings. SIAM J. Numer. Anal. 32, no. 6, 1808-1838
    • (1995) SIAM J. Numer. Anal. , vol.32 , Issue.6 , pp. 1808-1838
    • Benamou, J.-D.1
  • 5
    • 0039211244 scopus 로고
    • A domain decomposition method for the polar factorization of vector fields. Domain decomposition methods in science and engineering (como, 1992)
    • Amer. Math. Soc., Providence, RI, 1994
    • Benamou, J.-D., Brenier, Y. (1994) A domain decomposition method for the polar factorization of vector fields. Domain decomposition methods in science and engineering (Como, 1992), 231-236, Contemp. Math. 157, Amer. Math. Soc., Providence, RI, 1994
    • (1994) Contemp. Math. , vol.157 , pp. 231-236
    • Benamou, J.-D.1    Brenier, Y.2
  • 6
    • 0039803277 scopus 로고    scopus 로고
    • Weak existence for a coupled Monge-Ampère transport problem
    • to appear
    • Benamou, J.-D., Brenier, Y. Weak existence for a coupled Monge-Ampère transport problem. SIAM J. Appl. Math., to appear.
    • SIAM J. Appl. Math.
    • Benamou, J.-D.1    Brenier, Y.2
  • 7
    • 0030544530 scopus 로고    scopus 로고
    • Deformations of density functions in molecular quantum chemistry
    • Bokanowski, O., Grébert, B. (1996) Deformations of density functions in molecular quantum chemistry. J. Math. Phys. 37, no. 4, 1553-1573
    • (1996) J. Math. Phys. , vol.37 , Issue.4 , pp. 1553-1573
    • Bokanowski, O.1    Grébert, B.2
  • 8
    • 0001016311 scopus 로고
    • Décomposition polaire et réarrangement monotone des champs de vecteurs
    • Brenier, Y. (1987) Décomposition polaire et réarrangement monotone des champs de vecteurs. C. R. Acad. Sci. Paris Sér. I Math. 305, no. 19, 805-808
    • (1987) C. R. Acad. Sci. Paris Sér. I Math. , vol.305 , Issue.19 , pp. 805-808
    • Brenier, Y.1
  • 9
    • 84968509316 scopus 로고
    • The least action principle and the related concept of generalized flows for incompressible perfect fluids
    • Brenier, Y. (1989) The least action principle and the related concept of generalized flows for incompressible perfect fluids. J. Amer. Math. Soc. 2, no. 2, 225-255
    • (1989) J. Amer. Math. Soc. , vol.2 , Issue.2 , pp. 225-255
    • Brenier, Y.1
  • 10
    • 84990623199 scopus 로고
    • Polar factorization and monotone rearrangement of vector-valued functions
    • Brenier, Y. (1991) Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math. 64, 375-417
    • (1991) Comm. Pure Appl. Math. , vol.64 , pp. 375-417
    • Brenier, Y.1
  • 11
    • 0041047532 scopus 로고    scopus 로고
    • A homogenized model for vortex sheets
    • Brenier, Y. (1997) A homogenized model for vortex sheets. Arch. Rational Mech. 138, 319-353
    • (1997) Arch. Rational Mech. , vol.138 , pp. 319-353
    • Brenier, Y.1
  • 12
    • 0039803276 scopus 로고    scopus 로고
    • Minimal geodesics on gropups of volume-preserving maps
    • to appear
    • Brenier, Y. Minimal geodesics on gropups of volume-preserving maps. Comm. Pure and App. Math., to appear
    • Comm. Pure and App. Math.
    • Brenier, Y.1
  • 13
    • 0030366438 scopus 로고    scopus 로고
    • Boundary regularity of maps with convex potentials
    • 1996
    • Caffarelli, L.A. (1996) Boundary regularity of maps with convex potentials. Ann. of Math. (2) 144 (1996), no. 3, 453-496
    • (1996) Ann. of Math. , vol.2-144 , Issue.3 , pp. 453-496
    • Caffarelli, L.A.1
  • 14
    • 38249021457 scopus 로고
    • Implicit finite difference methods for modelling discontinuous atmospheric flows
    • Cullen, M.J. (1989) Implicit finite difference methods for modelling discontinuous atmospheric flows. J. of Comp. Physics. 81, 319-348
    • (1989) J. of Comp. Physics , vol.81 , pp. 319-348
    • Cullen, M.J.1
  • 16
    • 0021641025 scopus 로고
    • An extended lagrangian theory of semigeostrophic frontogenesis
    • Cullen, M.J, and Purser., R.J. (1984) An extended lagrangian theory of semigeostrophic frontogenesis. J. Atmos. Sci. 41, 1477-1497
    • (1984) J. Atmos. Sci. , vol.41 , pp. 1477-1497
    • Cullen, M.J.1    Purser, R.J.2
  • 17
    • 84902738914 scopus 로고
    • On a partial differential equation involving the Jacobian determinant
    • Dacorogna, B., Moser, J. (1990) On a partial differential equation involving the Jacobian determinant. Ann. Inst. H. Poincaré Anal. Non Linéaire 7, no. 1, 1-26
    • (1990) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.7 , Issue.1 , pp. 1-26
    • Dacorogna, B.1    Moser, J.2
  • 19
    • 0010568732 scopus 로고
    • Partial differential equations and Monge-Kantorovich mass transfer
    • Evans, L.C. (1989) Partial differential equations and Monge-Kantorovich mass transfer. Lecture Notes
    • (1989) Lecture Notes
    • Evans, L.C.1
  • 20
    • 0003372342 scopus 로고
    • Augmented Lagrangian methods. Applications to the numerical solution of boundary value problems
    • North-Holland Publishing Co., Amsterdam-New York
    • Fortin, M., Glowinski, R. (1983) Augmented Lagrangian methods. Applications to the numerical solution of boundary value problems. Studies in Mathematics and its Applications 15 North-Holland Publishing Co., Amsterdam-New York
    • (1983) Studies in Mathematics and Its Applications , vol.15
    • Fortin, M.1    Glowinski, R.2
  • 21
    • 0001103156 scopus 로고    scopus 로고
    • The geometry of optimal transportation
    • Gangbo, W., McCann, R.J. (1996) The geometry of optimal transportation. Acta Math. 177, no. 2, 113-161
    • (1996) Acta Math. , vol.177 , Issue.2 , pp. 113-161
    • Gangbo, W.1    McCann, R.J.2
  • 22
    • 0032343437 scopus 로고    scopus 로고
    • The variational formulation of the Fokker-Planck equation
    • Kinderlehrer, D., Jordan, R., Otto, F. (1998) The variational formulation of the Fokker-Planck equation. SIAM J. Math. Anal. 29, no. 1, 1-17
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.1 , pp. 1-17
    • Kinderlehrer, D.1    Jordan, R.2    Otto, F.3
  • 24
    • 0021421774 scopus 로고
    • On the optimal mapping of distributions
    • Knott, M., Smith, C.S. (1984) On the optimal mapping of distributions. J. Optim. Theory Appl. 43, no. 1, 39-49
    • (1984) J. Optim. Theory Appl. , vol.43 , Issue.1 , pp. 39-49
    • Knott, M.1    Smith, C.S.2
  • 25
    • 0031123737 scopus 로고    scopus 로고
    • Determination of reflector surfaces from near-field scattering data
    • Kochengin, S.A., Oliker, V.I. (1997) Determination of reflector surfaces from near-field scattering data. Inverse Problems 13, no. 2, 363-373
    • (1997) Inverse Problems , vol.13 , Issue.2 , pp. 363-373
    • Kochengin, S.A.1    Oliker, V.I.2
  • 26
    • 0031161793 scopus 로고    scopus 로고
    • A convexity principle for interacting gases
    • McCann, R.J. (1997) A convexity principle for interacting gases. Adv. Math. 128, no. 1, 153-179
    • (1997) Adv. Math. , vol.128 , Issue.1 , pp. 153-179
    • McCann, R.J.1
  • 27
    • 84968494100 scopus 로고
    • On the volume elements on a manifold
    • Moser, J. (1965) On the volume elements on a manifold. Trans. Amer. Math. Soc. 120, 286-294
    • (1965) Trans. Amer. Math. Soc. , vol.120 , pp. 286-294
    • Moser, J.1
  • 28
    • 0031211418 scopus 로고    scopus 로고
    • Viscous fingering: An optimal bound on the growth rate of the mixing zone
    • Otto, F. (1997) Viscous fingering: an optimal bound on the growth rate of the mixing zone. SIAM J. Appl. Math. 57, no. 4, 982-990
    • (1997) SIAM J. Appl. Math. , vol.57 , Issue.4 , pp. 982-990
    • Otto, F.1
  • 29
    • 0032368806 scopus 로고    scopus 로고
    • Dynamics of labyrinthine pattern formation in magnetic fluids: A meanfield theory
    • Otto, F. (1998) Dynamics of labyrinthine pattern formation in magnetic fluids: a meanfield theory. Arch. Rational Mech. Anal. 141, no. 1, 63-103
    • (1998) Arch. Rational Mech. Anal. , vol.141 , Issue.1 , pp. 63-103
    • Otto, F.1
  • 30
    • 0004170227 scopus 로고
    • The Minkowski multidimensional problem
    • John Wiley, New York-Toronto-London
    • Pogorelov, A.V. (1978) The Minkowski multidimensional problem. Scripta Series in Mathematics, John Wiley, New York-Toronto-London
    • (1978) Scripta Series in Mathematics
    • Pogorelov, A.V.1
  • 33
    • 84956095000 scopus 로고
    • The geometry of the group of diffeomorphisms and the dynamics of an ideal incompressible fluid
    • Shnirelman, A.I. (1987) The geometry of the group of diffeomorphisms and the dynamics of an ideal incompressible fluid. Math. Sbornik USSR 56, 79-105
    • (1987) Math. Sbornik USSR , vol.56 , pp. 79-105
    • Shnirelman, A.I.1
  • 34
    • 0001586642 scopus 로고
    • Generalized fluid flows, their approximation and applications
    • Shnirelman, A.I. (1994) Generalized fluid flows, their approximation and applications. Geom. Funct. Anal. 4, no. 5, 586-620
    • (1994) Geom. Funct. Anal. , vol.4 , Issue.5 , pp. 586-620
    • Shnirelman, A.I.1
  • 35
    • 0003299763 scopus 로고
    • Geometric problems in the theory of infinite-dimensional probability distributions
    • Sudakov, V.N. (1979) Geometric problems in the theory of infinite-dimensional probability distributions. Proceedings of the Steklov Institute 141, 1-178
    • (1979) Proceedings of the Steklov Institute , vol.141 , pp. 1-178
    • Sudakov, V.N.1
  • 36
    • 0002032494 scopus 로고
    • Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
    • Tanaka, H. (1978/79) Probabilistic treatment of the Boltzmann equation of Maxwellian molecules. Z. Wahrsch. Verw. Gebiete 46, no. 1, 67-105
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.46 , Issue.1 , pp. 67-105
    • Tanaka, H.1
  • 37
    • 0003342626 scopus 로고
    • Linear and nonlinear waves
    • Wiley-Interscience John Wiley & Sons, New York-London-Sydney
    • Whitham, G.B. (1974) Linear and nonlinear waves. Pure and Applied Mathematics. Wiley-Interscience John Wiley & Sons, New York-London-Sydney
    • (1974) Pure and Applied Mathematics
    • Whitham, G.B.1
  • 38
    • 0032050058 scopus 로고    scopus 로고
    • Computable elastic distances between shapes
    • Younes, L. (1998) Computable elastic distances between shapes. SIAM J. Appl. Math. 58, no. 2, 565-586
    • (1998) SIAM J. Appl. Math. , vol.58 , Issue.2 , pp. 565-586
    • Younes, L.1


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