boundary value problems 1kinetic theory 1nonlinear boundary conditions 1plasma physics 1vlasov-poisson equations 1well-posedness 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
The plasma-wall dynamic: wellposedness
Mehdi Badsi, Bastien Grosse
The paper proves existence and uniqueness of bounded variation solutions for a Vlasov‑Poisson boundary value problem with a nonlinear floating potential condition, modeling the int…
math.NA2026
Fully spectral scheme for the linear BGK equation on the whole space
Bastien Grosse
In this article, we design a fully spectral method in both space and velocity for a linear inhomogeneous kinetic equation with mass, momentum and energy conservation. We focus on t…
math.NA2024
Approximation by orthonormal polynomials associated with even exponential weights
Bastien Grosse
In this paper, we prove a quantitative approximation result by orthonormal polynomials associated to an exponential weight of the form e - , where is an even polynomial wi…