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math.AP2024★ 1 cited
A revisit on well-posedness of a boundary value problem of a stationary advection equation without the separation condition
Masaki Imagawa, Daisuke Kawagoe
We consider a boundary value problem of a stationary advection equation in a bounded domain with Lipschitz boundary. It is known to be well-posed in -based function spaces for…
math.AP2024
On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain
I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe +1
In this article, we study the stationary Boltzmann equation with the incoming boundary condition for the hard potential cases. Assuming the smallness of the domain and a suitable n…