Existence of solution for a micro–macro model of polymeric fluid: the FENE model

By Benjamin Jourdain, Tony Lelièvre, C. L. Bris. 2004

155 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Fluid Flow and Transfer Processes, Pulmonary and Respiratory Medicine

View Paper: https://www.semanticscholar.org/paper/d4f02af4cf782c3fd1e5daf02a775f7125c4e6c3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Nader Masmoudi
2. Peter Constantin

In Fluid Flow and Transfer Processes

1. Peter Constantin
2. Nader Masmoudi

In Pulmonary and Respiratory Medicine

1. Nader Masmoudi

Citations in the corpus

• Well‐posedness for the FENE dumbbell model of polymeric flows (2008, methodology): “[19] B. Jourdain, C. Le Bris, T. Lelièvre, and F. Otto.”
• On the Euler equations of incompressible fluids (2007, background): “The well-posedness theory is difficult even in two space dimensions, and consequently the mathematical theory of complex fluids is in its developing stages ([43], [48], [52], [76], [89], [98], [100], [101], [103], [115]).”
• Global existence of weak solutions to macroscopic models of polymeric flows (2011, background): “Also, Jourdain, Lelievre and Le Bris [22] proved local existence in the case b = 2k > 6 (where k is the constant appearing in the definition of U(R) below) for a Couette flow by solving a stochastic differential equation (see also [21] for the use of entropy inequality methods to prove exponential c”
• Global existence of weak solutions to some micro-macro models (2007, unknown): “We can mention Jourdain, Lelievre and Le Bris [8], Weinan E, Li and Zhang [7] and Zhang and Zhang [14], Lin, Liu and Zhang [9] and Barrett, Schwab and Suli [1].”