Generalized variational principles

Azzouz Dermoune; Octave Moutsinga

Séminaire de probabilités de Strasbourg (2002)

  • Volume: 36, page 183-193

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Dermoune, Azzouz, and Moutsinga, Octave. "Generalized variational principles." Séminaire de probabilités de Strasbourg 36 (2002): 183-193. <http://eudml.org/doc/114085>.

@article{Dermoune2002,
author = {Dermoune, Azzouz, Moutsinga, Octave},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {pressureless gase equation; conservation law; variational principles},
language = {eng},
pages = {183-193},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Generalized variational principles},
url = {http://eudml.org/doc/114085},
volume = {36},
year = {2002},
}

TY - JOUR
AU - Dermoune, Azzouz
AU - Moutsinga, Octave
TI - Generalized variational principles
JO - Séminaire de probabilités de Strasbourg
PY - 2002
PB - Springer - Lecture Notes in Mathematics
VL - 36
SP - 183
EP - 193
LA - eng
KW - pressureless gase equation; conservation law; variational principles
UR - http://eudml.org/doc/114085
ER -

References

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  1. [1] M. Bardi, L.C. Evans, On Hopf's formula for solutions of Hamilton-Jacobi equations, Nonlinear Anal., 8 (1984), pp. 1373-1381. Zbl0569.35011MR764917
  2. [2] Y. Brenier, E. Grenier, Sticky particles and scalar conservation laws. Siam. J. Numer. Anal. Vol. 35, No. 6, pp. 2317-2328, December 1998. Zbl0924.35080MR1655848
  3. [3] A. Dermoune, Probabilistic interpretation for system of conservation law arising in adhesion particle dynamics. C. R. Acad. Sci.Paris, 1998, tome 5. Zbl0920.60087MR1649309
  4. [4] A. Dermoune, Probabilistic interpretation of sticky particles model. The Annals of Probability, 1999, Vol. 27, No. 3, 1357-1367. Zbl0960.60055MR1733152
  5. [5] A. Dermoune, Sticky particles and propagation of chaos. Nonlinear Analysis45 (2001), 529-541. Zbl0992.60064MR1838945
  6. [6] E. Hopf, The partial differential equation ut + uux = &micro;uxx. Comm. Pure Appl. Math.3, 201-230, (1950). Zbl0039.10403
  7. [7] Weinan E., Yu.G. Rykov, Ya.G. Sinai, Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics. Commun. Math. Phys.177, 349-380, (1996). Zbl0852.35097MR1384139

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