Global existence of weak solutions to macroscopic models of polymeric flows
نویسندگان
چکیده
منابع مشابه
Global Existence of Weak Solutions to Macroscopic Models of Polymeric Flows
One of the most classical closures approximation of the FENE model of polymeric flows is the one proposed by Peterlin, namely the FENE-P model. We prove global existence of weak solutions to the FENE-P model. The proof is based on the propagation of some defect measures that control the lack of strong convergence in an approximating sequence. Using a similar argument, we also prove global exist...
متن کاملGlobal Existence of Weak Solutions to the Fene Dumbbell Model of Polymeric Flows
Abstract Systems coupling fluids and polymers are of great interest in many branches of sciences. One of the most classical models to describe them is the FENE (Finite Extensible Nonlinear Elastic) dumbbell model. We prove global existence of weak solutions to the FENE dumbbell model of polymeric flows. The main difficulty is the passage to the limit in a nonlinear term that has no obvious comp...
متن کاملGlobal existence of weak solutions to some micro - macro models
We prove global existence of weak solutions for the co-rotational FENE dumbbell model and the Doi model also called the Rod model. The proof is based on propagation of compactness, namely if we take a sequence of weak solutions which converges weakly and such that the initial data converges strongly then the weak limit is also a solution. To cite this article: A. Name1, A. Name2, C. R. Acad. Sc...
متن کاملExistence of global weak solutions to implicitly constituted kinetic models of incompressible homogeneous dilute polymers
We show the existence of global weak solutions to a general class of kinetic models of homogeneous incompressible dilute polymers. The main new feature of the model is the presence of a general implicit constitutive equation relating the viscous part Sv of the Cauchy stress and the symmetric part D of the velocity gradient. We consider implicit relations that generate maximal monotone (possibly...
متن کاملExistence of Weak Solutions to Some Vortex Density Models
We study the weak solutions to equations arising in the modeling of vortex motions in superfluids such as superconductors. The global existence of measure-valued solutions is established with a bounded Radon measure as initial data. Moreover, we get a local space-time Lq estimate for the continuous part of the solution, and we prove the global existence of a distributional weak solution for a p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2011
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2011.04.008