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math.AP2024
On the analyticity of the flow map for the AHT equations
Amina Mecherbet, Franck Sueur
The AHT equation is a non linear and non local vectorial transport equation which was introduced in 2003 by Angenent, Haker and Tannenbaum in optimal transport theory. For this equ…
math.AP2024
Analysis of a sedimenting suspension near a vertical wall
David Gérard-Varet, Amina Mecherbet
We consider a sedimenting suspension in a Stokes flow, in the presence of a vertical wall. We study the effect of a particle-depleted fluid layer near the wall on the bulk dynamics…