Well‐posedness for the FENE dumbbell model of polymeric flows
Copyright policy )Well‐posedness for the FENE dumbbell model of polymeric flows
AbstractWe prove local and global well‐posedness for the FENE dumbbell model for a very general class of potentials. Indeed, in prior local or global well‐posedness results, conditions on the strength of the singularity (or on the parameter b) were made. Here we give a proof in the general case. We also prove global existence results if the data is small or if we restrict to the co‐rotational model in dimension 2. © 2008 Wiley Periodicals, Inc.
- New York University United States
- Courant Institute of Mathematical Sciences United States
global existence, Statistical mechanics of polymers, Viscous-inviscid interaction, PDEs in connection with fluid mechanics, finite extensible nonlinear elastic (FENE) dumbbell model, local existence
global existence, Statistical mechanics of polymers, Viscous-inviscid interaction, PDEs in connection with fluid mechanics, finite extensible nonlinear elastic (FENE) dumbbell model, local existence
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