Approximation of parabolic equations using the Wasserstein metric

David Kinderlehrer; Noel J. Walkington

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1999)

  • Volume: 33, Issue: 4, page 837-852
  • ISSN: 0764-583X

How to cite

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Kinderlehrer, David, and Walkington, Noel J.. "Approximation of parabolic equations using the Wasserstein metric." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 33.4 (1999): 837-852. <http://eudml.org/doc/193949>.

@article{Kinderlehrer1999,
author = {Kinderlehrer, David, Walkington, Noel J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {variational method; Wasserstein metric; parabolic initial-boundary value problems; time discretization; convection-diffusion equations; Fokker-Planck equation; heat equation; Stefan problem},
language = {eng},
number = {4},
pages = {837-852},
publisher = {Dunod},
title = {Approximation of parabolic equations using the Wasserstein metric},
url = {http://eudml.org/doc/193949},
volume = {33},
year = {1999},
}

TY - JOUR
AU - Kinderlehrer, David
AU - Walkington, Noel J.
TI - Approximation of parabolic equations using the Wasserstein metric
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1999
PB - Dunod
VL - 33
IS - 4
SP - 837
EP - 852
LA - eng
KW - variational method; Wasserstein metric; parabolic initial-boundary value problems; time discretization; convection-diffusion equations; Fokker-Planck equation; heat equation; Stefan problem
UR - http://eudml.org/doc/193949
ER -

References

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  9. [9] R. Jordan, D. Kinderlehrer and F. Otto, The variational formulation of the Fokker-Planck équation. SIAM J. Math. Anal. 29 (1998) 1-17. Zbl0915.35120MR1617171
  10. [10] R. Jordan, D. Kinderlehrer and F. Otto, Dynamics of the Fokker-Planck equation. Phase Transitions (to appear). Zbl0915.35120
  11. [11] E.H. Lieb and M. Loss, Analysis, Vol. 14 of Graduate Studies in Mathematics. AMS (1997). Zbl0873.26002MR1415616
  12. [12] F. Otto, Dynamics of labyrinthine pattern formation in magnetic fluids. Arch. Rational Mech. Anal. 141 (1998) 63-103. Zbl0905.35068MR1613500
  13. [13] N.G. van Kampen, Stochastic Processes in Physics and Chemistry. North-Holland (1981). Zbl0511.60038MR648937

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