JournalsaihpcVol. 33, No. 5pp. 1353–1373

Existence and uniqueness of a density probability solution for the stationary Doi–Edwards equation

  • Ionel Sorin Ciuperca

    Université de Lyon, CNRS, Institut Camille Jordan, UMR 5208, Université Lyon 1, Bât Braconnier, 43 Boulevard du 11 Novembre 1918, F-69622, Villeurbanne, France

  • Arnaud Heibig

    Université de Lyon, CNRS, Institut Camille Jordan, UMR 5208, INSA-Lyon, Pôle de Mathématiques, Bât. Leonard de Vinci No. 401, 21 Avenue Jean Capelle, F-69621, Villeurbanne, France
Existence and uniqueness of a density probability solution for the stationary Doi–Edwards equation cover
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Abstract

We prove the existence, uniqueness and non-negativity of solutions for a nonlinear stationary Doi–Edwards equation. The existence is proved by a perturbation argument. We get the uniqueness and the non-negativity by showing the convergence in time of the solution of the evolutionary Doi–Edwards equation towards any stationary solution.

Cite this article

Ionel Sorin Ciuperca, Arnaud Heibig, Existence and uniqueness of a density probability solution for the stationary Doi–Edwards equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 5, pp. 1353–1373

DOI 10.1016/J.ANIHPC.2015.05.003