Geodesic
Existence and uniqueness of a density probability solution for the stationary Doi–Edwards equation
Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 5, pp. 1353-1373
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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.

DOI : 10.1016/j.anihpc.2015.05.003
Keywords: Polymeric fluids, Doi–Edwards equation, Stationary equation, Well-posedness 
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     author = {Ciuperca, Ionel Sorin and Heibig, Arnaud},
     title = {Existence and uniqueness of a density probability solution for the stationary {Doi{\textendash}Edwards} equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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     year = {2016},
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Ciuperca, Ionel Sorin; Heibig, Arnaud. Existence and uniqueness of a density probability solution for the stationary Doi–Edwards equation. Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 5, pp. 1353-1373. doi: 10.1016/j.anihpc.2015.05.003

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