Existence and uniqueness results for the Doi–Edwards polymer melt model: the case of the (full) nonlinear configurational probability density equation

DOI10.1088/0951-7715/25/4/991zbMath1236.35187OpenAlexW2033257429MaRDI QIDQ2882653

Liviu Iulian Palade, Ionel Sorin Ciuperca, Arnaud Heibig

Publication date: 7 May 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/25/4/991

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear evolution equations (47J35) Positive solutions to PDEs (35B09) Fokker-Planck equations (35Q84)

Related Items (8)

Existence and uniqueness of a density probability solution for the stationary Doi-Edwards equation ⋮ Solvability for a drift-diffusion system with Robin boundary conditions ⋮ Some properties of the Doi-Edwards and K-BKZ equations and operators ⋮ On the IAA version of the Doi–Edwards model versus the K-BKZ rheological model for polymer fluids: A global existence result for shear flows with small initial data ⋮ On slow flows of the full nonlinear Doi-Edwards polymer model ⋮ Mathematical existence results for the Doi-Edwards polymer model ⋮ Local existence result in time for a drift-diffusion system with Robin boundary conditions ⋮ New temperature dependent configurational probability diffusion equation for diluted FENE polymer fluids: existence of solution results

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