2 papers
math.AP2024
On the Voltage-Conductance kinetic equation
Claudia Fonte Sánchez, Stéphane Mischler
We consider the nonlinear Voltage-Conductance kinetic equation arising in neuroscience. We establish the existence of solutions in a weighted framework in a weak interac…
math.AP2024
The Landau equation in a domain
Kleber Carrapatoso, Stéphane Mischler
This work deals with the Landau equation in a bounded domain with the Maxwell reflection condition on the boundary for any (possibly smoothly position dependent) accommodation coef…