Generalized variational principles
Dermoune, Azzouz1 ; Moutsinga, Octave1
1 Université des Sciences et Technologies de Lille, Laboratoire de Statistique et Probabilités, F.R.E. CNRS 2222, 59655 Villeneuve d’Ascq cédex, France
Séminaire de probabilités de Strasbourg, Tome 36 (2002), pp. 183-193.

In [7] Weinan E, Y. G. Rykov, and Y. G. Sinai have introduced a generalized variational principles in order to give a weak solution of the pressureless gas equations with initial velocity u 0 and distribution of masses given by a probability measure P . The aim of this work is to connect these generalized variational principles at each time t > 0 with the convex hull of any primitive of the . Here F is the distribution function of the probability measure P and F - 1 is its inverse. The latter convex hull is also used to obtain the solutions of the scalar conservation law and the Hamilton-Jacobi equation associated with the pressureless gas equations.

Dermoune, Azzouz 1 ; Moutsinga, Octave 1

1 Université des Sciences et Technologies de Lille, Laboratoire de Statistique et Probabilités, F.R.E. CNRS 2222, 59655 Villeneuve d’Ascq cédex, France 
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     title = {Generalized variational principles},
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     pages = {183--193},
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Dermoune, Azzouz; Moutsinga, Octave. Generalized variational principles. Séminaire de probabilités de Strasbourg, Tome 36 (2002), pp. 183-193. http://www.numdam.org/item/SPS_2002__36__183_0/

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