Burgers type equations, Gelfand's problem and Schumpeterian dynamics

Guennadi Khenkine

HAL : hal-00692144, version 1

Burgers type equations, Gelfand's problem and Schumpeterian dynamics
Khenkine G.
http://hal.archives-ouvertes.fr/hal-00692144

Type de publication :

Preprint, Working Paper, Document sans référence, etc.

Domaine :

Mathématiques/Equations aux dérivées partielles

Titre :

Burgers type equations, Gelfand's problem and Schumpeterian dynamics

Auteur(s) :

Guennadi Khenkine (

) ¹

Laboratoire :

1 :	Institut de Mathématiques de Jussieu (IMJ)

	http://www.institut.math.jussieu.fr/

	CNRS : UMR7586 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot

	2, place Jussieu 75251 Paris Cedex 05

	France

Résumé :

Burgers equations have been introduced to study different models of fluids Bateman, 1915, Burgers, 1939, Hopf, 1950, Cole, 1951, Lighthill, Whitham, 1955.... The difference-differential analogs of these equations have been proposed for Schumpeterian models of economic development Iwai, 1984, Polterovich, Henkin, 1988, Belenky, 1990, 1996, Henkin, Polterovich, 1999, Shananin, Tashlitskaya, 2000.... This paper is a survey of recent results and conjectures on Burgers type equations, motivated both by fluid mechanics and by Schumpeterian dynamics. Abriged proofs of new results are given. This paper is an extended version of the paper [Henkin, 2011] prepared for the talk at the conference "General Equilibrium Analysis" at Higher School of Economics, June, 2011.

Langue du texte
intégral :

Anglais

Liste des fichiers attachés à ce document :

PDF

gburg12.pdf

(245.7 KB)


hal-00692144, version 1
http://hal.archives-ouvertes.fr/hal-00692144
oai:hal.archives-ouvertes.fr:hal-00692144
Contributeur : Guennadi Khenkine <>
Soumis le : Samedi 28 Avril 2012, 13:49:06
Dernière modification le : Samedi 28 Avril 2012, 15:20:22