Heat transfer problem for the Boltzmann equation in a channel with diffusive boundary condition
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Publication:2105898
DOI10.1007/s11401-022-0378-6zbMath1503.35156arXiv2204.09587OpenAlexW4310861914MaRDI QIDQ2105898
Renjun Duan, Shuangqian Liu, Tong Yang, Zhu Zhang
Publication date: 8 December 2022
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.09587
Boltzmann equationslip boundary conditionsChapman-Enskog expansioncompressible Navier-Stokes approximation
PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Boltzmann equations (35Q20) Compressible Navier-Stokes equations (76N06)
Cites Work
- Unnamed Item
- Hydrodynamic limit with geometric correction of stationary Boltzmann equation
- Non-isothermal boundary in the Boltzmann theory and Fourier law
- The Euler limit and initial layer of the nonlinear Boltzmann equation
- Decay and continuity of the Boltzmann equation in bounded domains
- Stability for Rayleigh-Benard convective solutions of the Boltzmann equation
- Molecular gas dynamics. Theory, techniques, and applications.
- Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations
- Hydrodynamic limits of the Boltzmann equation
- Local Hilbert expansion for the Boltzmann equation
- Derivation of slip boundary conditions for the Navier-Stokes system from the Boltzmann equation
- On a boundary layer problem for the nonlinear Boltzmann equation
- The Boltzmann equation and its applications
- Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
- Hydrodynamic limit of the stationary Boltzmann equation in a slab
- The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
- Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory
- The Navier-Stokes limit of stationary solutions of the nonlinear Boltzmann equation.
- Stationary solutions to the Boltzmann equation in the hydrodynamic limit
- Slip boundary conditions for the compressible Navier-Stokes equations
- Kinetic theory and fluid dynamics
- Hilbert expansion of the Boltzmann equation with specular boundary condition in half-space
- Stationary non equilibrium states in kinetic theory
- Solutions of nonlinear kinetic equations on the level of the Navier- Stokes dynamics
- Compressible Navier-Stokes approximation to the Boltzmann equation
- Nonlinear stability of rarefaction waves for the Boltzmann equation
- The Limit of the Boltzmann Equation to the Euler Equations for Riemann Problems
- Boundary Layers and Incompressible Navier-Stokes-Fourier Limit of the Boltzmann Equation in Bounded Domain I
- The milne and kramers problems for the boltzmann equation of a hard sphere gas
- The fluid dynamic limit of the nonlinear boltzmann equation
- THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- Hydrodynamic limits with shock waves of the Boltzmann equation
- Compressible Navier-Stokes approximation for the Boltzmann equation in bounded domains
- Boltzmann diffusive limit beyond the Navier‐Stokes approximation
- Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system