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math.AP2023
Nonexistence of multi-dimensional solitary waves for the Euler-Poisson system
Junsik Bae, Daisuke Kawagoe
We study the nonexistence of multi-dimensional solitary waves for the Euler-Poisson system governing ion dynamics. It is well-known that the one-dimensional Euler-Poisson system ha…
math.AP2023
On the Existence of solutions for Stationary Linearized Boltzmann Equations in a Small Convex Domain
I-Kun Chen, Ping-Han Chuang, Chun-Hsiung Hsia +2
In this article, we investigate the incoming boundary value problem for the stationary linearized Boltzmann equations in . For a bounded domain wi…
math.AP2023
On strong convergence of an elliptic regularization with the Neumann boundary condition applied to a stationary advection equation
Masaki Imagawa, Daisuke Kawagoe
We consider a boundary value problem of a stationary advection equation with the homogeneous inflow boundary condition in a bounded domain with Lipschitz boundary, and consider its…