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math.AP2023
Shock profiles for hydrodynamic models for fluid-particles flows in the flowing regime
Thierry Goudon, Pauline Lafitte, Corrado Mascia
Starting from coupled fluid-kinetic equations for the modeling of laden flows, we derive relevant viscous corrections to be added to asymptotic hydrodynamic systems, by means of Ch…
math.AP2023
Plane wave stability analysis of Hartree and quantum dissipative systems
Thierry Goudon, Simona Rota Nodari
We investigate the stability of plane wave solutions of equations describing quantum particles interacting with a complex environment. The models take the form of PDE systems with…