Geodesic
Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework
Gloria Faccanoni1 ; Cédric Galusinski1
1 Université de Toulon - IMATH, EA 2134, CS 60584, 83041, Toulon CEDEX 9, France
ESAIM. Proceedings, Tome 72 (2023), pp. 143-162.

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This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor). We investigate an advection-diffusion equation with a degenerate and nonlinear diffusion coefficient. The degeneracy corresponds to a liquid-vapor mixture in the original model whereas the diffusion coefficient is non-degenerate in the pure phase cases. We focus on the influence of the diffusion coefficient on a simple 1D configuration for which some analytical computations can be done, leading to a surprising behavior of the phase transition with respect to the diffusion.
DOI : 10.1051/proc/202372143

Gloria Faccanoni 1 ; Cédric Galusinski 1

1 Université de Toulon - IMATH, EA 2134, CS 60584, 83041, Toulon CEDEX 9, France 
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Gloria Faccanoni; Cédric Galusinski. Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework. ESAIM. Proceedings, Tome 72 (2023), pp. 143-162. doi : 10.1051/proc/202372143. http://geodesic.mathdoc.fr/articles/10.1051/proc/202372143/

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