Published April 1, 2012
| Version v1
Journal article
Existence and uniqueness results for the Doi–Edwards polymer melt model: the case of the (full) nonlinear configurational probability density equation
- 1. Université Lyon 1, Bât Braconnier, 43 Boulevard du 11 Novembre 1918, F-69622, Villeurbanne (France)
- 2. INSA-Lyon, Pôle de Mathématiques, Bât. Leonard de Vinci No. 401, 21 Avenue Jean Capelle, F-69621, Villeurbanne (France)
Description
This paper proves the existence and uniqueness of non-negative solutions of the (full) nonlinear configurational probability diffusion equation—which is of Fokker–Planck–Smoluchowski type—of the Doi-Edwards model for polymer melt rheology. This is achieved using the Schauder fixed point theorem and Galerkin's approximation method
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/25/4/991Additional details
Identifiers
- DOI
- 10.1088/0951-7715/25/4/991;
- PII
- S0951-7715(12)07026-0;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 25
- Journal Issue
- 4
- Journal Page Range
- p. 991-1009
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46002461
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- APPROXIMATIONS; DIFFUSION EQUATIONS; FOKKER-PLANCK EQUATION; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; POLYMERS; PROBABILITY; RHEOLOGY
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS