2003/05/28 by Éric Cancès, Eric Cancès, Isabelle Catto +4
Chemical Engineering · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Heat and Mass Transfer in Porous Media #Rheology and Fluid Dynamics Studies #math.AP
paper · pdf · doi:10.48550/arxiv.math/0305408
add proof of uniqueness of steady states
openalex publication_date 2003/05/28 · arxiv created 2003/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The mathematical properties of a nonlinear parabolic equation arising in the modelling of non-newtonian flows are investigated. The peculiarity of this equation is that it may degenerate into a hyperbolic equation (in fact a linear advection equation). Depending on the initial data, at least two situations can be encountered: the equation may have a unique solution in a convenient class, or it may have infinitely many solutions.