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Volumn 33, Issue 4, 1999, Pages 837-852

Approximation of parabolic equations using the Wasserstein metric

Author keywords

Numerical approximations; Parabolic equations; Wasserstein metric

Indexed keywords


EID: 0033468031     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:1999166     Document Type: Article
Times cited : (45)

References (13)
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    • Benamou, J.1    Brenier, Y.2
  • 3
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    • Y. Brenier, Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math. 44 (1991) 375-417.
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    • Brenier, Y.1
  • 5
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    • Thermodynamically driven incompressible fluid mixtures
    • W.E
    • W.E and F. Otto, Thermodynamically driven incompressible fluid mixtures. J. Chem. Phys. 107 (1998) 10177-10184.
    • (1998) J. Chem. Phys. , vol.107 , pp. 10177-10184
    • Otto, F.1
  • 6
    • 0001309929 scopus 로고
    • Sur la distance de deux lois de probabilité
    • M. Frechet, Sur la distance de deux lois de probabilité. C.R. Acad. Sci. 244 (1957) 689-692.
    • (1957) C.R. Acad. Sci. , vol.244 , pp. 689-692
    • Frechet, M.1
  • 7
    • 0040843369 scopus 로고    scopus 로고
    • Optimal maps for the multidimensional Monge-Kantorovich problem
    • W. Gangbo and A. Sweich, Optimal maps for the multidimensional Monge-Kantorovich problem. CPAM 51 (1998) 23-45.
    • (1998) CPAM , vol.51 , pp. 23-45
    • Gangbo, W.1    Sweich, A.2
  • 8
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    • The geometry of optimal transportation
    • W. Gango and R.J. McCann, The geometry of optimal transportation. Acta Math. 177 (1996) 113-161.
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    • The variational formulation of the Fokker-Planck equation
    • R. Jordan, D. Kinderlehrer and F. Otto, The variational formulation of the Fokker-Planck equation. SIAM J. Math. Anal. 29 (1998) 1-17.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1-17
    • Jordan, R.1    Kinderlehrer, D.2    Otto, F.3
  • 12
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    • Dynamics of labyrinthine pattern formation in magnetic fluids
    • F. Otto, Dynamics of labyrinthine pattern formation in magnetic fluids. Arch. Rational Mech. Anal 141 (1998) 63-103.
    • (1998) Arch. Rational Mech. Anal , vol.141 , pp. 63-103
    • Otto, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.