1 citations · 2 across the 5 of their papers we have counts for
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regularity of solutions to the stationary Boltzmann equation with the incoming boundary condition
Daisuke Kawagoe
We consider the stationary Boltzmann equation with the angular cutoff cross section in a bounded convex domain under the incoming boundary condition. In this article, we discuss th…
On the existence and regularity of weakly nonlinear stationary Boltzmann equations : a Fredholm alternative approach
I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe
The celebrated Fredholm alternative theorem works for the setting of identity compact operators. This idea has been widely used to solve linear partial differential equations \cite…
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…
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…
Geometric effects on regularity of the stationary linearized Boltzmann equation
I-Kun Chen, Chun-Hsiung Hsia, Daisuke Kawagoe +1
We study the incoming boundary value problem for the stationary linearized Boltzmann equation in bounded convex domains. The geometry of the domain has a dramatic effect on the spa…