Macroscopic estimate of the linear Boltzmann and Landau equations with specular reflection boundary
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Publication:6586967
DOI10.3934/KRM.2024001zbMATH Open1542.35273MaRDI QIDQ6586967
Publication date: 13 August 2024
Published in: Kinetic and Related Models (Search for Journal in Brave)
kinetic equationaxisymmetric domainKorn's inequality\(L^2\) coercivity\(L^6\) boundmacroscopic estimatespecular relection
Asymptotic behavior of solutions to PDEs (35B40) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)
Cites Work
- Non-isothermal boundary in the Boltzmann theory and Fourier law
- Decay and continuity of the Boltzmann equation in bounded domains
- Stationary solutions to the Boltzmann equation in the hydrodynamic limit
- Decay of the Boltzmann equation with the specular boundary condition in non-convex cylindrical domains
- The Landau equation in a periodic box
- The Landau equation with the specular reflection boundary condition
- Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data
- The global existence and large time behavior of smooth compressible fluid in an infinitely expanding ball. III: The 3-D Boltzmann equation
- Correction to: ``The Landau equation with the specular reflection boundary condition
- On a variant of Korn's inequality arising in statistical mechanics
- The Boltzmann Equation with Specular Boundary Condition in Convex Domains
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition
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