Cover Image

$H^s_x$ regularity of solutions to the stationary Boltzmann equation with the incoming boundary condition

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kawagoe, Daisuke
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35Q20, 35F30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Geometric effects on $W^{1, p}$ regularity of the stationary linearized Boltzmann equation
by: Chen, I-Kun, et al.
Published: (2023)

Boltzmann boundary layer equation with Maxwell reflection boundary condition and applications to fluid limits
by: He, Ling-Bing, et al.
Published: (2025)

Continuity of the solution map of some active scalar equations in Hölder and Zygmund spaces
by: Magaña, Marc
Published: (2024)

Strong diffusive limit of the Boltzmann equation with Maxwell boundary condition
by: Guo, Yan, et al.
Published: (2018)

On strong convergence of an elliptic regularization with the Neumann boundary condition applied to a stationary advection equation
by: Imagawa, Masaki, et al.
Published: (2023)

Knudsen boundary layer equations with incoming boundary condition: full range of cutoff collision kernels and Mach numbers of the far field
by: Jiang, Ning, et al.
Published: (2025)

Remarks on propagation of discontinuities in stationary radiative transfer
by: Kawagoe, Daisuke
Published: (2025)

On the Existence and Regularity for Stationary Boltzmann Equation in a Small Domain
by: Chen, I-Kun, et al.
Published: (2024)

A revisit on well-posedness of a boundary value problem of a stationary advection equation without the separation condition
by: Imagawa, Masaki, et al.
Published: (2024)

Divergence-form equations admitting nowhere $C^1$ Lipschitz weak solutions
by: Liao, Menglan, et al.
Published: (2026)

Regularity of solutions of the Navier-Stokes-αβ equations with wall-eddy boundary conditions
by: Rotundo, Nella, et al.
Published: (2025)

The failure of Hölder regularity of solutions for the Euler-Poincaré equations in Besov spaces
by: Qu, Guorong, et al.
Published: (2024)

The Mixed Convex-Concave effect on the regularity of a Boltzmann solution
by: An, Gayoung, et al.
Published: (2023)

From the Boltzmann equation for gas mixture to the two-fluid incompressible hydrodynamic system
by: Fang, Zhendong, et al.
Published: (2024)

Incompressible Euler limit from the Boltzmann equation with Maxwell reflection boundary condition in the half-space
by: Jiang, Ning, et al.
Published: (2025)

Energy conservation for weak solutions of incompressible Newtonian fluid equations in Hölder spaces with Dirichlet boundary conditions in the half-space
by: Berselli, Luigi C., et al.
Published: (2024)

Three-dimensional Navier-Stokes-Biot coupling via a moving reticular plate interface: existence of weak solutions
by: Brandt, Felix, et al.
Published: (2025)

Quantitative lower bound for solutions to the Boltzmann equation in non-convex domains
by: Su, Jhe-Kuan
Published: (2025)

On the existence and regularity of weakly nonlinear stationary Boltzmann equations : a Fredholm alternative approach
by: Chen, I-Kun, et al.
Published: (2025)

On the Boltzmann equation with soft potentials: Existence, uniqueness and smoothing effect of mild solutions
by: He, Ling-Bing, et al.
Published: (2024)

On regularity of solutions for certain linear Boltzmann transport equations
by: Tervo, Jouko
Published: (2021)

Inverse problem for wave equation of memory type with acoustic boundary conditions: Global solvability
by: Totieva, Zhanna D., et al.
Published: (2025)

Asymptotic stability of solutions to semilinear evolution equations in Banach spaces
by: Cellarosi, Francesco, et al.
Published: (2025)

The regularity of the boundary of vortex patches for the quasi-geostrophic shallow-water equations
by: Magaña, Marc, et al.
Published: (2026)

Three weak solutions for a $(p, q)$-Schrödinger-Kirchhoff type equation
by: Ahmed, Ahmed Ahmed- Taghi Ahmedatt- Aberqi
Published: (2024)

Regularity for the Boltzmann equation conditional to pressure and moment bounds
by: Fernández-Real, Xavier, et al.
Published: (2024)

Anomalous dissipation via spontaneous stochasticity with a two-dimensional autonomous velocity field
by: Johansson, Carl Johan Peter, et al.
Published: (2024)

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space
by: Aoki, Motofumi, et al.
Published: (2025)

Large time behavior for solutions to the anisotropic Navier-Stokes equations in a 3D half-space
by: Fujii, Mikihiro, et al.
Published: (2024)

Construction of low regularity strong solutions to the viscous surface wave equations
by: Gui, Guilong, et al.
Published: (2024)

A new family of solitons for nonlinear Schrödinger equations with non-vanishing boundary conditions in high dimension
by: Duan, Xiuqing
Published: (2026)

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations
by: Albritton, Dallas, et al.
Published: (2025)

Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations
by: Ciampa, Gennaro, et al.
Published: (2024)

On the stationary Navier-Stokes equations in distorted pipes under energy-stable outflow boundary conditions
by: Falocchi, Alessio, et al.
Published: (2025)

On the interaction of strain and vorticity for solutions of the Navier--Stokes equation
by: Miller, Evan
Published: (2024)

Global Fujita-Kato solutions of the incompressible inhomogeneous magnetohydrodynamic equations
by: Li, Fucai, et al.
Published: (2025)

Blow--up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources
by: Vitillaro, Enzo
Published: (2021)

On the absence of anomalous dissipation for the Navier-Stokes equations with Navier boundary conditions: a sufficient condition
by: Bardos, Claude, et al.
Published: (2025)

The Cauchy Problem for Non-Isentropic compressible Navier-Stokes/Allen-Cahn system with Degenerate Heat-Conductivity
by: Chen, Yazhou, et al.
Published: (2020)

Sharp Regularizing Effect of the Cauchy Problem for the Inhomogeneous Non-Cutoff Kac Equation
by: Cai, Xinzhi, et al.
Published: (2025)